Long Division With Remainders Worksheets
This worksheet gives kids long division problems that don't divide evenly, so they practice writing the leftover amount as a remainder. It's the natural next step after mastering even division and a core skill for 4th and 5th grade math.
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Long Division With Remainders Worksheet
Divide. Show your work and write the remainder as R.
Answer Key
Long Division With Remainders Worksheet
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How to teach long division with remainders
- 1
Finish the same four steps
Divide, multiply, subtract, bring down — the routine is identical to even division; the only difference shows up in the final subtraction.
- 2
Recognize when to stop
Once there are no more digits to bring down and the leftover number is smaller than the divisor, that number becomes the remainder.
- 3
Write the remainder correctly
Show kids to write “R” followed by the leftover number right after the quotient, like 47 R 3.
- 4
Connect it to real life
Use a word problem like splitting 27 cookies among 4 friends to show why 3 cookies are left over and can't be split evenly.
Common mistakes kids make
- Writing a remainder larger than the divisor — if the leftover is bigger than the divisor, another round of dividing was skipped.
- Forgetting to label the remainder with an “R” — an unlabeled number at the end looks like part of the quotient and confuses grading.
- Dropping the remainder entirely — remind kids that every problem here has a leftover amount, so an answer with no remainder likely has an error.
- Mixing up the remainder with the next quotient digit — the remainder only appears at the very end of the problem.
Tips for parents and teachers
- Pair this worksheet with a quick word-problem discussion so remainders feel meaningful, not just leftover numbers.
- Encourage kids to check their work by multiplying the quotient by the divisor and adding the remainder — it should equal the dividend.
- Save the trickiest divisors (7, 8, 9) for a second round once the process feels comfortable with easier divisors.
Grade alignment
This worksheet supports Common Core standard 4.NBT.B.6, typically taught in Grades 4-5. Use it for practice, homework, review or a timed check of fluency.
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Open worksheetFrequently asked questions
What is a remainder in division?
A remainder is the amount left over when a number can't be divided evenly by the divisor, written as “R” followed by the leftover value.
How do you write a remainder in long division?
Write the quotient first, then “R”, then the leftover amount, such as 53 R 2.
How can I check a long division answer with a remainder?
Multiply the quotient by the divisor, add the remainder, and confirm the total matches the original dividend.
What grade level uses this worksheet?
Long division with remainders is typically taught in 4th grade and reinforced through 5th grade with larger numbers.
Are these printable division worksheets free?
Yes, this is a free printable PDF worksheet with a complete answer key for at-home or classroom practice.
Why do some division problems have remainders and others don't?
It depends on whether the divisor divides the dividend evenly; if any amount is left over after the final subtraction, that's the remainder.