Long Division Cheat Sheet for Parents: 4th & 5th Grade Guide
Help your child master long division with this parent-friendly cheat sheet: the DMSBR steps, the vocabulary, worked examples and practice problems with answers.
Long division is one of the trickiest math skills your child will learn in 4th and 5th grade. Many parents find themselves staring at their child's homework, trying to remember the steps they learned decades ago.
Don't worry — this guide is here to help. Whether you're helping with homework, preparing for a test, or just want to understand the method, this long division cheat sheet for parents has everything you need.
In this guide, you'll learn:
- What long division is — a simple definition for parents
- Key vocabulary — dividend, divisor, quotient, remainder
- The DMSBR acronym — an easy memory trick
- Step-by-step instructions with worked examples
- How to explain it to your child — parent-friendly tips
- Common mistakes kids make — and how to help
- Practice problems with answers
- How to check your work — the inverse operation
- FAQs — common parent questions
Let's dive in and make long division easy for you and your child!
Check homework with the Long Division CalculatorEnter any dividend and divisor to see every divide, multiply, subtract and bring-down step, with the remainder or decimal answer.Quick Answer
What is long division?
Long division is a method for dividing large numbers by breaking the problem into smaller steps: divide, multiply, subtract, bring down, and repeat.
The DMSBR method
- D — Divide
- M — Multiply
- S — Subtract
- B — Bring Down
- R — Repeat (or Remainder)
Memory trick: "Dad, Mom, Sister, Brother, Rover."
Quick example: 48 ÷ 4 = 12
- 4 goes into 4 one time → write 1
- 1 × 4 = 4 → write 4
- 4 − 4 = 0
- Bring down 8
- 4 goes into 8 two times → write 2
- 2 × 4 = 8
- 8 − 8 = 0
- Answer: 12
Key Vocabulary Your Child Needs to Know
Before you can help with long division, you need to understand the vocabulary. Here are the key terms:
Swipe sideways to compare columns.
| Term | Definition | Example (48 ÷ 4) |
|---|---|---|
| Dividend | The big number inside the division box that you want to split up | 48 |
| Divisor | The small number outside the box that tells you how many groups to make | 4 |
| Quotient | The answer, which sits on top of the division box | 12 |
| Remainder | The leftover number at the end that is smaller than the divisor | 0 |
How to remember
- Dividend = "The number being divided"
- Divisor = "The number doing the dividing"
- Quotient = "The answer"
- Remainder = "What's left over"
The DMSBR Method — The Magic Acronym
The easiest way to remember long division is the DMSBR acronym:
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| Letter | Step | What It Means |
|---|---|---|
| D | Divide | How many times does the divisor fit into the current number? |
| M | Multiply | Multiply that number by the divisor |
| S | Subtract | Subtract the result from the number above |
| B | Bring Down | Bring down the next digit |
| R | Repeat | Start over (or write the remainder) |
Memory trick: "Dad, Mom, Sister, Brother, Rover"
Your child can picture a family walking a dog:
- Dad does the Divide
- Mom does the Multiply
- Sister does the Subtract
- Brother does the Bring Down
- Rover the dog does the Repeat
This silly image helps kids remember the order!
How to Do Long Division — Step by Step
Learning how to do long division is simple with these steps. We will work through 147 ÷ 7.
Step 1: Set up the problem
Write the dividend inside the division bracket and the divisor outside.
Step 2: Divide (D)
Look at the first digit of the dividend. How many times does the divisor fit?
- 7 does not fit into 1
- Look at the first two digits: 14
- 7 fits into 14 two times
- Write 2 above the 4
Step 3: Multiply (M)
Multiply the quotient digit by the divisor.
- 2 × 7 = 14
- Write 14 under the 14
Step 4: Subtract (S)
Subtract the product from the number above: 14 − 14 = 0.
Step 5: Bring Down (B)
Bring down the next digit (7), so the working number is now 07, which is 7.
Step 6: Repeat (R)
- 7 fits into 7 one time
- Write 1 above the 7
- Multiply: 1 × 7 = 7
- Subtract: 7 − 7 = 0
- No digits are left to bring down, so you are finished
Worked example 1: 48 ÷ 4 = 12
- Setup: write 48 inside the bracket and 4 outside.
- Divide: 4 fits into 4 one time, so write 1 above the 4.
- Multiply: 1 × 4 = 4. Write 4 under the 4.
- Subtract: 4 − 4 = 0.
- Bring down: bring down the 8, giving 08.
- Divide again: 4 fits into 8 two times, so write 2 above the 8.
- Multiply and subtract: 2 × 4 = 8, and 8 − 8 = 0.
Worked example 2: 136 ÷ 5 = 27 R1
- Setup: write 136 inside the bracket and 5 outside.
- Divide: 5 does not fit into 1, so look at 13. 5 fits into 13 two times; write 2 above the 3.
- Multiply: 2 × 5 = 10. Write 10 under 13.
- Subtract: 13 − 10 = 3.
- Bring down: bring down the 6, giving 36.
- Divide again: 5 fits into 36 seven times; write 7 above the 6.
- Multiply and subtract: 7 × 5 = 35, and 36 − 35 = 1.
- There are no more digits to bring down, so 1 is the remainder.
If your child's worksheet asks for a decimal instead of a remainder, the division simply continues past the decimal point. Long division answers: remainder, decimal or fraction? shows how 27 R1 becomes 27.2 or 27 1/5.
How to Explain Long Division to Your Child
Here are some parent-friendly tips for teaching long division:
1. Use the DMSBR acronym
Teach your child the "Dad, Mom, Sister, Brother, Rover" trick. Make it fun and silly.
2. Start with simple problems
Begin with problems like 48 ÷ 4 before moving to harder ones.
3. Use grid paper
Lining up numbers in columns prevents alignment mistakes.
4. Keep a multiplication chart handy
If your child is still memorizing times tables, have a chart nearby.
5. Practice together
Do problems together first, then let your child try alone.
6. Check work together
Teach your child to check their answer by multiplying.
7. Be patient
Long division takes practice. Celebrate small wins.
How to Check Your Work
Always check your answer using the inverse operation:
For decimal answers
- Multiply the quotient by the divisor
- The result should equal the dividend
Common Mistakes Kids Make (And How to Help)
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| Mistake | Why It Happens | How to Help |
|---|---|---|
| Forgetting to bring down | Rushing through steps | Remind them of DMSBR |
| Multiplying incorrectly | Don't know times tables | Practice multiplication facts |
| Subtracting wrong | Careless errors | Use grid paper, double-check |
| Misaligning numbers | Messy writing | Use grid paper |
| Stopping too early | Forgetting to repeat | Remind them to check for more digits |
| Forgetting the remainder | Not checking | Practice problems with remainders |
| Writing quotient in wrong place | Not understanding place value | Review place value |
| Not checking work | Rushing | Make checking a habit |
Writing the quotient in the wrong place most often happens when the divisor does not fit into a digit and a 0 belongs in the answer, as in 816 ÷ 8 = 102. Long division with zeros has worked examples of exactly that case.
Practice Problems (With Answers)
Problem 1: 48 ÷ 4 = ?
- 4 goes into 4 once → write 1
- 1 × 4 = 4, 4 − 4 = 0
- Bring down 8
- 4 goes into 8 twice → write 2
- 2 × 4 = 8, 8 − 8 = 0
- Answer: 12
Problem 2: 147 ÷ 7 = ?
- 7 does not fit into 1
- 7 fits into 14 twice → write 2
- 2 × 7 = 14, 14 − 14 = 0
- Bring down 7
- 7 fits into 7 once → write 1
- 1 × 7 = 7, 7 − 7 = 0
- Answer: 21
Problem 3: 136 ÷ 5 = ?
- 5 does not fit into 1
- 5 fits into 13 twice → write 2
- 2 × 5 = 10, 13 − 10 = 3
- Bring down 6
- 5 fits into 36 seven times → write 7
- 7 × 5 = 35, 36 − 35 = 1
- Answer: 27 R1
Problem 4: 256 ÷ 8 = ?
- 8 does not fit into 2
- 8 fits into 25 three times → write 3
- 3 × 8 = 24, 25 − 24 = 1
- Bring down 6
- 8 fits into 16 twice → write 2
- 2 × 8 = 16, 16 − 16 = 0
- Answer: 32
Problem 5: 504 ÷ 9 = ?
- 9 does not fit into 5
- 9 fits into 50 five times → write 5
- 5 × 9 = 45, 50 − 45 = 5
- Bring down 4
- 9 fits into 54 six times → write 6
- 6 × 9 = 54, 54 − 54 = 0
- Answer: 56
Swipe sideways to compare columns.
| Problem | Answer |
|---|---|
| 1 | 12 |
| 2 | 21 |
| 3 | 27 R1 |
| 4 | 32 |
| 5 | 56 |
Once these feel easy, story problems are the next step, because your child also has to decide what to divide. The long division word problems guide has easy, medium and hard examples with answers.
Frequently Asked Questions
What is long division?
Long division is a method for dividing large numbers by breaking the problem into smaller steps: divide, multiply, subtract, bring down, and repeat.
What is the DMSBR method?
DMSBR stands for Divide, Multiply, Subtract, Bring Down, Repeat. It's a memory trick for the long division steps.
What is the "Dad, Mom, Sister, Brother, Rover" trick?
It's a mnemonic to remember DMSBR: Dad (Divide), Mom (Multiply), Sister (Subtract), Brother (Bring Down), Rover (Repeat).
What is the dividend?
The dividend is the number being divided — the big number inside the division box.
What is the divisor?
The divisor is the number you're dividing by — the small number outside the box.
What is the quotient?
The quotient is the answer to the division problem.
What is a remainder?
The remainder is the leftover number at the end that is smaller than the divisor.
How do I check my child's long division work?
Multiply the quotient by the divisor and add the remainder. The result should equal the dividend.
Why is my child struggling with long division?
Common reasons include not knowing multiplication facts, misaligning numbers, or forgetting the steps. Practice and patience help.
What grade is long division taught?
Long division is usually introduced in 4th grade with one-digit divisors and extended to two-digit divisors in 5th grade (ages 9 to 11). When is long division taught? gives the full grade-by-grade breakdown.
What is the best way to practice long division?
Use grid paper, practice with simple problems first, and use the DMSBR method.
Final Summary
Long division doesn't have to be stressful. With the DMSBR method and the "Dad, Mom, Sister, Brother, Rover" memory trick, your child can master this important skill.
Swipe sideways to compare columns.
| Term | Definition |
|---|---|
| Dividend | The number being divided |
| Divisor | The number you're dividing by |
| Quotient | The answer |
| Remainder | What's left over |
- Remember the steps: Divide, Multiply, Subtract, Bring Down, Repeat.
- Check your work: Dividend = (Divisor × Quotient) + Remainder.
Start practicing now! The Long Division Calculator shows every step, so your child can compare their working line by line. For more worked examples, including the bus stop layout, see the complete long division guide.
Written by
Do The Calculation Team
Do The Calculation
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