Ready-to-teach
Clear steps, examples, and practice in one printable page.
Misconception-proof
Highlights common mistakes and how to fix them quickly.
Open license
CC0: free to copy, adapt, and share without attribution.
Quick overview
This free long division worksheet for grades 4-5 builds accuracy with multi-digit dividends and remainders.
Lesson plan snapshot
- Warm-up (3 min): review division facts.
- Model (5 min): solve the worked example together.
- Guided practice (5 min): complete problems 1-4 as a group.
- Independent practice (7 min): finish the remaining problems.
Materials: place value chart, pencil
Learning targets
- Use long division to divide multi-digit numbers.
- Keep quotient digits aligned with place value.
- Interpret remainders correctly.
Step-by-step approach
- 1Divide the first digit (or first two digits) by the divisor.
- 2Multiply the divisor by the quotient digit.
- 3Subtract to find the remainder so far.
- 4Bring down the next digit and repeat.
Common mistakes
Mistake
Skipping a place value in the quotient.
Try instead
Write each quotient digit above the digit you divided.
Mistake
Forgetting to bring down the next digit.
Try instead
Use the DMSB checklist for each step.
Mistake
Not checking with multiplication.
Try instead
Multiply divisor by quotient and add the remainder.
Worked example
- Divide: 15 ÷ 6 = 2, write 2 above the 5.
- Multiply: 2 × 6 = 12.
- Subtract: 15 - 12 = 3.
- Bring down 6 to make 36, then 36 ÷ 6 = 6.
Related resources
Practice problems
10 problems • 15 min
- 1Solve:
- 2Solve:
- 3Solve:
- 4Solve:
- 5Solve:
- 6Solve:
- 7Solve:
- 8Solve:
- 9Solve:
- 10Solve: (Express with remainder)
Answer key
10 answers- 11) 21
- 22) 13
- 33) 22
- 44) 19
- 55) 64
- 66) 15
- 77) 95
- 88) 248
- 99) 20
- 1010) 30 R 2
Teacher tips
- THave students say the D-M-S-B steps aloud.
- TUse grid paper to keep digits aligned.
- TEncourage checking with multiplication.
Parent tips
- PAsk your child to explain each step in words.
- PUse smaller numbers first, then scale up.
- PCheck answers together with multiplication.
Open license
You are free to copy, adapt, and share these materials. No attribution required. Released under Creative Commons CC0 1.0 (public domain).