Division Worksheets For Grade 3-8: Free And Printable Worksheets

Division worksheets are a crucial resource for students and teachers from 3rd through 8th grades. They help reinforce fundamental division skills and provide opportunities for practicing division facts. For learners, these worksheets offer extra practice to master basic division concepts which are foundational for tackling fractions and more complex math problems.

Engaging in division practice helps learners enhance their critical thinking and problem-solving skills, setting the stage for future success in mathematics.

This guide to division worksheets provides educators with worksheets for 3rd-8th grade students to help build a conceptual understanding of the division skills necessary in elementary and middle school.

How children learn division

Division is taught in the upper elementary grades onwards in conjunction with its inverse operation, multiplication.

In the early elementary grades, division is learned through a variety of division methods including visual models to build understanding.

In third grade, division becomes part of the grade-level Common Core Math Standards. 3rd graders use visual models and contextual examples to learn to divide two-digit numbers into equal shares. They learn that division can be seen as missing-factor multiplication and build fluency with division facts within 100.

By fourth grade, children interpret division in a multiplicative comparison context, and learn to interpret remainders. 4th graders must divide 4-digit dividends by 1-digit divisors efficiently by the end of the year.

5th graders learn to divide four-digit dividends by two-digit divisors, as well as learn to divide whole numbers and decimal numbers by decimal numbers and decimal numbers by whole numbers.

For middle schoolers, division is applied to more challenging concepts. 6th graders divide multi-digit whole numbers and multi-digit decimals using the standard algorithm-otherwise known as long division. This is a key strategy sixth graders use when applying division to ratio and rate.

In 7th grade, children divide rational numbers using strategies such as the properties of operations, as well as their knowledge of fractions. Division is used to understand proportional relationships.

8th graders apply division skills to find the square root of numbers and to solve linear equations in one variable.

Since division is the inverse operation of multiplication, children often use division to solve linear equations that involve multiplication. 

Each division skill is learnt on a spiral curriculum and builds on a foundation of previous knowledge. Starting with hands-on and visual models and moving towards more abstract and symbolic strategies using the concrete-representational-abstract method helps children develop conceptual understanding. 

Why we’ve brought together these division worksheets

We’ve spoken with hundreds of educators who tell us they want a range of ready-to-go worksheets to use with their elementary and middle schoolers in class and to set as homework.

Third Space Learning is passionate about making math accessible to all learners and closing the math achievement gap while saving teachers time!

This guide brings together our collection of division worksheets for schools to use to help students when practicing division facts and boost learners’ division understanding and application.

What to expect from these division worksheets

Math experts have designed every division worksheet in this collection so they align with the Common Core State Standards. And, each worksheet can be adapted to state-specific standards.

All printable division worksheets, complete with answer key, are designed to provide learners with the necessary multiplication practice to help master the skills required to reach proficiency at each grade-level, including practicing multiplication facts.

How to use these division worksheets

There are many ways to use these printable division worksheets, both in and out of the classroom. To download, the appropriate worksheet, click the link in this guide, enter your email address and the worksheet will be sent to your inbox.

Some of the ways you can use these worksheets to solidify learners understanding and fluency of division facts include:

• Independent practice in class or math centers;

• Math warm ups;

• As part of the school’s math curriculum;

• At home math practice.

Division worksheets by grade

This guide includes explanations of the division facts learners will need to know at each stage of elementary and middle school.

You’ll find division strategies, worked examples and a practice problem for learners to complete in addition to the relevant Third Space Learning division worksheets for each grade.

Division worksheets for 3rd grade

Third graders often learn division using the equal groups context. Students first learn the meaning of division, dividing a quantity into equal groups. This is followed by problem solving strategies.

3rd grade teachers should provide ample opportunities for practice with hands-on math tools for problem solving. The two different types of division 3rd graders learn are:

1. Partitive division

2. Measurement division

In partitive division, the beginning quantity is divided into a set number of groups and the quotient (unknown value) is how many are in each group. This type of division can be thought of like dealing out cards.

In measurement (or quotative division), the beginning quantity is divided into groups of equal size, and the quotient is how many groups are made.

Third graders use a variety of different real-world contexts to understand these division situations. They also build fluency in their division facts within 100 by connecting division to multiplication.

Viewing division as missing-factor multiplication helps learners recognize that they can use their multiplication skills to solve division problems. Using fact families helps children connect multiplication fluency to division.

Math tools and visual models are both important for learning lifelong division skills.

3rd grade division problems 

Example 1

18 ÷ 3 =

Answer: 6

First, begin by counting out 18 objects. Students can either model the division using partitive or measurement division.

For this example, let’s say they use partitive division. They would make 3 groups and then put one of the 18 counters in each of the three groups one at a time until there were no counters left. Then they count the number in each group. This method of division feels like dealing out cards and making equal groups.

Learners can also use an array to organize their work and make rows of 3 counters and see how many rows they can make (measurement division in an array). 

As students advance in their division problem solving, they can draw pictures to solve rather than use physical models.

Example 2

54 ÷ 6 =

Answer: 9

To solve this larger division problem, third graders might begin by thinking of division as a missing factor multiplication problem. So instead of thinking of this problem as 54 6, they would think of the problem as 6 x ___ = 54. Then they can use multiplication to help them solve the division problem.

Third graders would likely start with a 6s fact they know, for example, a doubles fact like 6 x 6, or they might start with 6 x 5 because it gets them to a friendly number with a product of 30. 

Next they would see that 54 – 30 = 24 so they still need to find 6 x ___ = 24.

If they’re fluent in their multiplication facts they might already know that 6 x 4 = 24, or they can break it down farther by doing 6 x 2 and then another 6 x 2. 

Lastly, add all the parts together that 6 was multiplied by. So 6 x 5 = 30 then 6 x 4 = 24 so altogether 6 was multiplied by 9 to get to 54. This means that 6 x 9 = 54 so 54 6 = 9.

3rd grade division practice problem

The donut shop has 32 donuts to sell. They put the donuts into 8 boxes with the same number of donuts in each box. How many donuts are in each box? 

Answer: 4 donuts in each box

Division worksheets for 4th Grade

4th graders expand their understanding of division. With a base of division fluency within 100 from 3rd grade, fourth graders learn to efficiently divide 4-digit numbers by 1-digit divisors to find whole number quotients.

Fourth graders also learn division with remainders. They learn to interpret remainders in division problems, as well as interpret division in a multiplicative comparison situation. They also learn the divisibility rules for numbers.

Teachers should support fourth graders in understanding what to do when there is a remainder and what to do when there is no remainder through real-world contexts.

Fourth grade is also the first year that students typically learn long division, although it is not officially a strategy in the standards until sixth grade. Check out our blog post on the long division steps and see long division examples for more information.

Fourth graders often use division strategies based in place value understanding and decomposing problems into more manageable parts.

A common division strategy is the partial quotients strategy, which relates division to the distributive property. It is similar to long division but numbers are written in full form, rather than shorthand as they are in long division.

Additionally, partial quotients frames division as missing factor multiplication, so to solve, students are thinking about the divisor x the quotient would equal the dividend.

4th grade division problems 

Example 1

2,344 ÷ 8 =

Answer:

To solve this problem, the most efficient symbolic strategy is to use partial quotients or long division. Students relate these strategies to multiplication strategies such as partial products to prove why their answer is correct.

Fourth graders also learn to check their answer by multiplying the quotient by the divisor to check that it equals the dividend.

Example 2

A school hired vans to drive 394 students to a field trip. If 8 students fit in each van, how many vans are needed so all the students can go on the field trip?

Answer: 44 vans

To solve this problem, students first need to identify that they should divide 349 by 8. Then they can choose a division strategy to solve the problem.

As the quotient is 43 with a remainder of 5, students need to identify what the 5 means and then interpret this based on what the problem is asking. 

In this problem, 5 represents 5 students leftover that would not fit in the 43 vans. So they would need to get one more van to fit those extra students. Therefore the answer would be 44 vans are needed.

Practice problem

The jewelry shop had 850 beads to use for bracelets. If they put 8 beads on each bracelet, how many bracelets can they make with exactly 8 beads on each? 

Answer: 106 bracelets. Note: they will have 2 beads leftover. 

Division worksheets for 5th Grade

5th graders use division to solve whole number problems with up to 4-digit dividends and 2-digit divisors. This type of problem solving requires a solid base of division fluency from 3rd and 4th grade, as well as efficient problem solving strategies including partial quotients and long division.

5th graders also apply division skills to understand dividing by powers of ten and how the digits move in relation to the decimal point when a number is divided by a power of ten. This understanding supports them as they learn to divide decimal numbers to the hundredths using place value strategies.

At the 5th grade level, children are expected to be able to interpret division problems with and without remainders and solve a variety of real-world contextual division problems including whole numbers and decimals. This includes turning remainders into decimal numbers when it makes sense for the context. 

5th grade division problems

Example 1

3,375 ÷ 54 =

Answer: 62.5

Students can solve this problem using partial quotients or long division. While it is not officially in the standards for 5th graders, it is often helpful for students to solve division problems with larger numbers using long division. This also helps when turning a remainder into a decimal.

When you divide 3,375 by 54, there is a remainder of 27. To turn this remainder into a decimal, put a decimal point and a zero after the dividend because 3,375.0 is the same value as 3,375 so the value of the dividend is not changing. Also place a decimal in the quotient.

Bring the zero down to make the remainder 270 and divide 270 by 54 to get 5. The quotient is 62.5. This strategy is important when solving contextual division problems with money or weight where it makes sense to make a remainder into a decimal. 

Example 2

5.6 ÷ 0.04 =

It is challenging to solve a division problem with a decimal in the divisor. It helps to use visual models (specifically a hundreds grid) when students first learn to divide decimals. This conceptual understanding is the foundation for solving problems using more efficient strategies.

To solve this problem efficiently, make the divisor a whole number. Make an equivalent problem multiplying both the dividend and the divisor by a power of ten. 

• Since 0.04 is in the hundredths place, multiply both numbers by 100 (or 102) to make the dividend 560 and the divisor 4. 

• Then divide 560 by 4 which is 140, which is the same quotient for 5.6 divided by 0.04 .

5th grade division practice problem

Mrs. Augustine donated $1,384 to 16 charities and gave the exact same amount of money to each charity. How much money did Mrs. Augustine donate to each charity? 

Answer: $86.50

Division worksheets for 6th Grade

Sixth grade division applies elementary division skills to other contexts such as algebraic expressions and ratio and proportional relationships. Sixth graders are expected to be fluent (efficient and accurate) in solving division problems including dividing multi-digit numbers using the standard algorithm (long division).

By sixth grade, children should be able to fluently and flexibly solve multi-digit division problems with whole numbers and decimals. They also use division to find the greatest common factor for a number or set of numbers. Students use these problem-solving abilities to solve rate problems in real world contexts as well as to calculate percentages.

6th graders also use division to find the value of expressions including variables.

6th grade division problems

Example 1

382.8 ÷ 24 =

Answer: 382.8

To solve this problem, sixth graders should use the standard algorithm or long division to find the quotient. Since there is no decimal in the divisor, students should solve this problem as it is, with the decimal remaining in the dividend.

Sixth graders can check their work by multiplying 24 x the quotient 15.95 to ensure that it equals 382.8.

Example 2

Rodrigo filled up his gas tank and it cost $44.85. If he got 13 gallons of gas, what was the price of gas per gallon? 

6th graders should set up a rate equation and then recognize that to solve for one gallon of gas they would need to divide the total, $44.85 by 13.

They can use any division strategy to solve the problem but would likely use long division. By dividing both 44.85 and 13 by 13 they would discover that the price per gallon is $3.45.

6th grade division practice problem

You can buy 8 bags of chips at the store for $36.64. How much would it cost to buy 20 bags of chips?

Answer: One bag of chips costs $4.58 so 20 bags costs $91.60.

Division worksheets for 7th grade

Division in 7th grade builds on division fluency and application skills from the previous grades. 7th graders must have deep knowledge and understanding of division to be able to apply this operation to rational numbers.

7th grade math in the number system domain of the Common Core State Standards includes all four operations with rational numbers. This includes both positive and negative integers.

7th graders also learn to solve real-world mathematical problems involving unit rate (proportional relationships) involving fraction and decimal numbers. 7th graders also learn to apply properties of operations to factor and expand linear expressions with rational coefficients.

Having efficient division strategies is key for seventh graders successfully solve grade-level division problems. 

7th grade division problems

Example 1

For practice dividing positive and negative integers, 7th graders might solve this set of problems:

• 24 ÷4= aAnswer: a=6

• 24 ÷ -4= b
  Answer: b=-6

• -24 ÷ 4 = c
  Answer: c=-6

• -24 ÷ -4 = d
  Answer: d=6

7th graders must learn the rules of multiplying positive and negative integers:

• Dividing two positive numbers results in a positive quotient.

• Dividing a negative number by a positive number or a positive number by a negative number results in a negative quotient.

• Dividing a negative number by a negative number produces a positive quotient.

They can use repeated subtraction skills from previous grades, as well as bar models and number lines with both positive and negative integers to understand whether the product is positive or negative. 

Example 2

A pair of pants at the store usually costs $32.50. Today, they are on sale for 10% off. What is the new cost for the price of pants?

Answer: $29.25

Solving percent problems requires division skills because children need to be able to calculate a part of the whole price. In this case, they need to find 1/10 of the original price and then subtract that amount from the price. They can do that by either multiplying by 0.1 or by dividing by 10.

In this problem, the pants are $3.25 off the original price so $32.50-$3.25 = $29.25 as the new price.

7th grade division practice problem

Write an equation and then solve the following problem. The length of a wall is 96.5 inches. The area is 5,790 square inches. What is the perimeter of the wall?

Answer: 313 inches

• Step 1: 96.5 x h = 5,790
  To solve for the height, divide 5,790 by 96.5 which equals 60 inches. So the height of the wall is 60 inches.

• Step 2: To solve for the perimeter, 2(96.5) + 2(60) = 193 + 120 = 313 inches

Division worksheets for 8th grade

Division in 8th grade is not taught in isolation but as a skill that applied to other mathematical concepts. Solving linear equations and performing operations with numbers expressed using scientific notation, as well as finding the square root of numbers requires division skills.

Concepts learned in 8th grade math are new and often complex. Students have been exposed to scientific notation in previous grades, but this is the first time that they are expected to use their division skills to find the square root of a number.

8th graders also learn to write and solve linear equations and this skill is the foundation for more algebraic concepts beyond 8th grade.

Teachers can support 8th grade students in learning these new concepts by using visual models to prove how and why these equations, functions and exponents work. 

8th grade division problems

Example 1

Solve for x
9x + 0.9 = 54

Answer: x = 5.9

To solve this problem, eighth graders must understand that the goal is to make both sides of the equal sign the same value.

• First, start by subtracting 0.9 from 54 to get 53.10.

• The equation now reads 9x = 53.10.

• Next, divide 53.10 by 9 to get 5.9.

• 5.9 is the value of x

Students should always check their work by using the value of x to ensure that both sides of the equal sign are the same value.
9(5.9) + 0.9 = 54
53.10 + 0.9 = 54
              54 = 54

Example 2

What is the square root of 196? symbol of square root 196

8th graders must determine which number when multiplied by itself equals 196. At this level, children will often start with a known problem, and build off that.

For example, if a student knows that 12 x 12 = 144, they might try the next closest number 13, then 14 and so on.

8th grade division practice problem

Susan thinks the square root of 64 is 8. Luis thinks the square root of 64 is 4. Who is correct? Explain. 

Answer: Often, students have the misconception that square root means to divide by 4 because a square has 4 sides. However, the true meaning of square root is to find a number that when multiplied by itself equals the larger number. So the square root of 64 is 8 because 82= 64

Where to find more printable division worksheets and resources

Browse the Third Space Learning resource library for more free addition worksheets. You’ll find a selection of free printable worksheets, topic guides and additional resources on Numbers and Quantity.

Division key takeaways

Learning to divide is a concept that builds on the understanding of subtraction from early elementary grades, as well as multiplication. For students to understand division, they must:

• Understand the concept of equal shares;

• Visualize making equal groups, first with single-digit numbers and then with multi-digit numbers.

Students first learn basic division skills using hands-on math tools and drawings then progressing to solve division word problems and understand the different context for division.

This foundation supports children as they apply their skills to divide with 4-digit dividends and 1-digit divisors, and then later 2-digit divisors, as well as dividing decimals.

As students learn to divide with larger numbers they develop more efficient strategies and learn to use long division and apply division skills to more complex.

Division with Third Space Learning

In addition to a wide range of free worksheets, topic guides and resources, Third Space Learning provides one-on-one math tutoring for struggling students.

Math curriculum experts carefully design each lesson to align with Common Core and state-specific standards. Students across the U.S. signed up for our math programs follow personalized pathways aligned to their state.

Because lessons take place online, schools can organize lessons to suit their schedule, before, during or after school. The one-on-one nature allows targeted support for each individual student to help them close their learning gaps.

Do you have students who need extra support in math?
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Each student receives differentiated instruction designed to close their individual learning gaps, and scaffolded learning ensures every student learns at the right pace. Lessons are aligned with your state’s standards and assessments, plus you’ll receive regular reports every step of the way.

Personalized one-on-one math tutoring programs are available for:
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