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

Long division worksheets provide students in grade 3 to 8 with plenty of opportunities to apply and practice their developing division skill using the long division format.

This guide provides long division worksheets for 3rd through 8th graders, from whole numbers to decimal quotients to multi digit multiplication, along with worked examples, practice problems, and explanations.

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What is long division?

Long division is an efficient strategy for solving division problems. It is a standard algorithm that children learn to solve division problems with multi-digit numbers. It uses numbers and symbols instead of hands-on math manipulatives or visual models and requires a foundation of understanding of basic division and place value.

Children often begin learning long division in 4th grade math with whole numbers. By 6th grade, students should be able to solve division problems with whole numbers and decimals using the long division algorithm efficiently and accurately. Long division often becomes the preferred strategy of many students in the middle school grades and beyond because it is efficient and accurate. 

Why we’ve brought together these long division worksheets

Third Space Learning believes in making math worksheets and resources that all students can access. We are dedicated to helping close the achievement gap. We work with thousands of teachers by providing them with high-quality resources and worksheets. We also provide affordable online tutoring

At Third Space Learning we create worksheets designed to meet the needs of elementary teachers and their students. This set of long division worksheets was created to provide teachers with resources to help boost student understanding of the long division strategy from 3rd grade through 8th grade. 

What to expect from these long division worksheets

These worksheets were designed by educators to align with the Common Core State Standards. Every worksheet in our collection provides grade-level appropriate division practice. These worksheets include necessary practice to help master long division skills at each grade level. Each division worksheet in our collection is easily accessible through our quick links. They are also printable and include answer keys. 

How to use these long division worksheets

These printable long division worksheets are easy to access! Just click on the link, enter your email address and you’ll get access to the high-quality long division worksheet and answer key.

These long division worksheets should be paired with lessons on how long division works and why it works. Teachers can support children in understanding this strategy by providing ample practice with hands-on division models and visual models. Also, comparing this strategy to the partial quotients division strategy is helpful for building understanding.

Teachers can use these worksheets with students in the classroom during independent practice time, or for small group instruction and homework. These can also be used for homeschool. Another engaging way to use these worksheets is to use them as a math warmup and assign each student one problem and then have students teach each other how they solved their problem. 

Long division worksheets by grade

Below you will find examples of long division at each grade level as well as a collection of long division worksheets. Each grade level, 3rd grade through 8th grade, includes worked examples and practice questions as well as links to the worksheets for that specific grade level. This makes it easy for teachers to access the printable math resources from Third Space Learning.

Long division worksheets for 3rd grade

According to the Common Core State Standards for mathematics, third graders are not required to use long division (the standard algorithm for division). At this level, children are learning division to build a conceptual understanding. They will start by dividing smaller numbers within 100. This single digit division lays the foundation for the understanding of larger division problems in later grades.

Children often use hands-on models, such as base ten blocks, for division so they can solve the problem by physically dividing a set of objects into equal groups. In third grade, students learn the distributive property for multiplication and division which is the foundation of the partial quotients division strategy which connects to long division. An example is shown below of how third graders would solve a division problem. You’ll notice that long division is included so you can see how that strategy is not necessary at this level. Building a strong understanding of the concept of division, practicing basic division facts, multiplication facts and times tables is more important at the third grade level so students can eventually learn long division. 

Here’s an example of a 3rd grade long division problem:

Question: 32 ÷ 4

Answer: 8

3rd grade long diviion

For more long division practice, check out these printable third grade division questions and worksheets with answer keys from Third Space Learning:

Long division worksheets for 4th grade

In 4th grade, students learn to divide larger numbers with up to four-digit dividends and one-digit divisors without remainders. Since drawing a visual model becomes inefficient with such large numbers, fourth graders are typically introduced at this level to use more symbolic strategies for problem solving, which includes long division.

Before learning long division, fourth graders often learn the partial quotients strategy which is based on the distributive property. This strategy is based in place value and helps children understand what each number means. Then they learn to divide using long division steps. It is important to note that 4th graders also learn divisibility rules and division with remainders

Here is an example of a 4th grade long division problem:

Question: 1,278 ÷ 9

Answer: 142

4th grade long division

For more long division practice, check out these printable fourth grade long division worksheets from Third Space Learning:

Long division worksheets for 5th grade

5th graders use long division (the standard algorithm for division) flexibly as they solve problems with up to 4-digit dividends and 2-digit divisors. They begin using this strategy to divide whole numbers. Then fifth graders build an understanding of what it means when a dividend, divisor, and quotient are decimals. They use long division to solve division problems with decimals to the hundredths and learn to be efficient and accurate problem solvers using long division. It should be noted that using long division is not officially in the standards until 6th grade, but it is a very helpful strategy for dividing decimals. 

Here are two examples of 5th-grade division problems using long division:

Problem A uses whole numbers

Question: 2790 ÷ 45

Answer: 62

Problem B uses decimals

Question: 14.67 ÷ 0.9

Answer: 16.3

5th grade division problems

For more long division practice, check out these printable fifth grade long division worksheets from Third Space Learning:

Long division worksheets for 6th grade

In sixth grade, the expectation is that students are able to fluently divide multi-digit numbers using the standard algorithm (long division). If given a dividend and divisor of any number of digits, sixth graders should be able solve that problem using long division as a strategy. They are also expected to use long division to divide multi-digit decimals. At the sixth grade level, children also apply division skills toward understanding algebraic expressions and ratio and proportional relationships. 

Here are two examples of 6th-grade division problems using long division. Problem A uses decimals and problem B uses whole numbers.

Problem A

Question: 5,092.7 ÷ 80.2

Answer: 63.5

Problem B

Question: 47,208 ÷ 562

Answer: 84

6th grade division problems

For more long division practice, check out these printable sixth grade long division worksheets from Third Space Learning:

Third Space Learning Lesson Slide For Grade 6 Students: Using the algorithm for division

Long division worksheets for 7th grade

Division in 7th grade does not expand upon the long division strategy that students already know. Rather, it applies this efficient division problem solving strategy to other contexts. In 7th grade, students also learn to solve mathematical problems related to real life scenarios involving unit rate (proportional relationships) involving money, fractions and decimal numbers. Having efficient division strategies is key for seventh graders to be successful in solving grade-level division problems. 

Here is an example of a 7th grade long division problem:

Question: The flower shop has two options for buying roses. The cost of 9 bouquets of roses is 58.32. Each bouquet has 6 roses inside. Or you can buy roses individually for $1.25 per rose. Which option is a better buy?

Answer: Option 1

7th grade long division problem

Long division worksheets for 8th grade

Division in 8th grade is not taught in isolation but rather is a skill that eighth graders are expected to apply 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. 8th graders learn to use their long division skills to find the square root of a number. These concepts learned in 8th grade math are new and often complex. 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 and what they mean. Here is an example of an 8th grade long division problem:

Question: Find the square root of 6,084.

Answer: 78

Square root of 6084


Note: using long division to calculate the square root is one strategy but still involves guess and check, as any strategy does when finding the square root. The work above shows an example of how long division can be used to find the square root. For more information on how to find the square root of a number check out our square root guide.

For more long division practice, check out this printable eighth grade long division worksheet from Third Space Learning:

Where to find more printable long division worksheets and resources

For more resources, check Third Space Learning’s free printable worksheets and resources on Numbers and Quantity. Also, check out our collection of other free math resources and these free division word problems.

Long division highlights

Long division is a strategy that students learn once they have a foundation of conceptual understanding of division. Students begin using long division with whole numbers in fourth grade and then expand to solving long division problems with decimals in fifth grade. In the middle school grades, children are expected to be proficient in using long division as an efficient division strategy with whole numbers and decimals. They apply these skills to real-world problems such as unit rate problems, measurement problems, and finding the square root and solving division with positive and negative integers.

Long division worksheets FAQs

How do you do long division step by step?

To solve a long division problem, first divide the first digit in the dividend by the divisor. Then, you multiply the divisor by that number. Next, you subtract that product from the dividend and then, you bring the next digit down. You repeat this process until you have no remainder, or until the remainder is less than the divisor and it is interpreted.

How do you teach long division in a fun way?

There are many ways to teach long division. One way to make learning long division fun is to play division games where students play against each other, where solving problems using long division is a part of the game. You can also draw cards to determine the dividend and divisor. For example, in fourth grade, when students solve division problems with 4-digit dividends and 1-digit divisors, they could draw 4 cards for the dividend and 1 for the divisor and arrange the cards in a way that results in the largest quotient. 

What is division for grade 4?

In grade 4, students learn to divide 4-digit dividends by 1-digit divisors. They also learn to interpret remainders in division. They learn the partial quotients strategy for division as well as long division and also practice their division facts. 

What are the four steps in order to do long division?

The four steps to long division are divide, multiply, subtract and bring down. These four steps are repeated until the remainder is less than the divisor or until there is no remainder.


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