10 5th Grade Long Division Problems with Answers
Master 5th grade long division with step-by-step examples and 10 practice problems with a full answer key.
Author
Katie Wickliff
Published:
May 2026
Key takeaways
- • Long division is usually introduced in 5th grade when students are comfortable with dividing smaller numbers
- • Long division is a structured method that makes dividing large numbers simpler and more manageable
- • Learning long division helps students build the skills needed to solve more complex problems
In 5th grade, students build on their understanding of multiplication and division developed in earlier grades. As they become more comfortable with basic division facts, the focus shifts to working with larger numbers using a structured process. Although there are several ways to solve long division problems, this guide explores long division using the standard algorithm, which is often the method 5th graders learn first. First, we’ll explain what long division is and review important vocabulary students need to know. Then, you’ll find 10 long division problems with an answer key so students can check their work independently. Like with any math concept, the key to strengthening long division skills is with plenty of practice, so let’s get started!
Table of contents
5th Grade Long Division (Standard Algorithm)
Let’s begin by defining a few important division terms:
Dividend: The number that is being divided. In 36/9=4, 36 is the dividend
Divisor: The number that you divide by, or how many equal groups to split the dividend into. In 36/9=4, 9 is the divisor
Quotient: The answer to the division problem. In 36/9=4, 4 is the quotient.
Remainder: The amount “left over” if a number can’t be divided equally. For example, 38/9 can be divided into 4 groups with 2 left over, so 2 is the remainder.
In 4th grade, students learn that division means to separate an amount into equal-sized groups. At this point, most students are comfortable with basic multiplication facts and understand the concept of combining equal groups, making it easier to see division as the inverse of multiplication.
Long division is a structured method used to divide larger numbers by breaking them into smaller parts. Students follow a series of short, more manageable steps, using a mix of multiplication and subtraction, to find the answer. These steps are:
- Divide
- Multiply
- Subtract
- Bring Down
When 5th graders are first learning these steps, funny mnemonic devices can help commit them to memory. Some of my students’ favorites were:
Dusty Monkeys Smell Bad
Does McDonald’s Serve Burgers?
Dad, Mom, Sister, Brother, Rover
Long Division Examples
Example 1: Dividing a two-digit number by a one-digit number
6 ⟌94
(The divisor 6 goes outside the division symbol on the left; the dividend 94 on the inside)
Now, follow the steps.
1. Divide
How many whole 6’s go into 9 without going over? (1)
2. Multiply
Find the product of 6 x 1 and write the answer underneath (6)
3. Subtract
Subtract 6 from 94
4. Bring Down (34)
5. Divide
How many whole 6’s go into 34 without going over? (5)
6. Multiply
5 x 6 = 30
7. Subtract
Subtract again to find the remainder:
Answer: 15 r 4
Example 2: Dividing a three-digit number by a two-digit number (with one graphic)
27 ⟌324
1. Divide
How many whole 27’s go into 32 without going over? (1)
2. Multiply
Find the product of 1 x 27 and write the answer underneath (27)
3. Subtract (Bring Down)
Subtract 27 from 32 (5)
4. Bring Down
Bring down the 4 to make 54
5. Divide
How many whole 27’s go into 54 without going over? (2)
6. Subtract
Subtract 54 from 54 (0)
Answer: 12
5th Grade Long Division Problems
Try these 10 multi step word problems 5th grade students should know how to solve.
1. Solve 8 ⟌ 96
Answer
2. Solve 5 ⟌ 77
Answer
3. Solve 6 ⟌ 84
Answer
4. Solve 14 ⟌ 39
Answer
5. Solve 24 ⟌ 513
Answer
6. Drew has 227 keychains in his collection. He organizes them into 8 piles. How many equal piles does he have? How many keychains are left over?
Answer
7. The youth lacrosse league has 382 players. There are 16 teams, and each team must have an equal number of players. How many players are on each team? How many players are left over?
Answer
8. What is the quotient of 2,400/6?
Answer
9. Aliysha made 60 beaded bracelets and wants to give an equal number to 8 friends. What is the divisor in this problem? What is the dividend?
Answer
10. A bike shop has 55 e-bikes for sale. They want to display the bikes in 4 equal rows. Can they do this? Why or why not?
Answer
Additional Practice
If your learner is looking for even more 5th grade long division practice, Dreambox Math offers adaptive, personalized instruction to strengthen math skills and confidence.
About the Author
Katie Wickliff
Katie holds a master’s degree in Education, has over 15 years of education experience as a primary classroom teacher, and is Orton-Gillingham certified tutor. Most importantly, Katie is the mother of two primary school students, ages 8 and 11. She is passionate about maths education and firmly believes that the right tools and support will help every student reach their full potential.