4-Digit by 1-Digit Division Worksheets
These worksheets challenge kids to divide four-digit numbers by a single digit, extending the long division routine over an extra place value column. They're a strong fit for 5th graders building speed and accuracy with bigger numbers.
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4-Digit by 1-Digit Long Division Worksheet
Divide. Show your work.
Answer Key
4-Digit by 1-Digit Long Division Worksheet
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How to teach dividing 4-digit numbers by a 1-digit divisor
- 1
Work through the thousands digit first
Ask whether the divisor fits into just the thousands digit, or if it needs to combine with the hundreds digit to start.
- 2
Repeat the divide-multiply-subtract-bring down loop
The process is the same as smaller problems, just repeated one extra time because of the added digit.
- 3
Estimate the quotient's size first
Have kids predict roughly how many digits the quotient will have before starting, which helps them catch mistakes later.
- 4
Double-check with multiplication
Multiply the finished quotient (plus remainder, if any) by the divisor to confirm it equals the original four-digit dividend.
Common mistakes kids make
- Losing track partway through a longer problem — encourage kids to work slowly and re-check each subtraction before moving to the next digit.
- Misjudging how many digits the quotient should have — estimating first helps catch an answer that's clearly too big or too small.
- Forgetting a zero placeholder when a digit doesn't divide — skipping this step shifts every following digit out of place.
- Rushing multi-step subtraction and making arithmetic slips — slow, careful subtraction matters more as numbers get bigger.
Tips for parents and teachers
- Break practice into smaller chunks — five problems at a time — rather than one long sitting, since these problems take longer to solve.
- Have kids estimate the answer before dividing, then compare their estimate to the final quotient.
- Encourage checking work with multiplication rather than redoing the whole division problem from scratch.
Grade alignment
This worksheet supports Common Core standard 5.NBT.B.6, typically taught in 5th grade. Use it for practice, homework, review or a timed check of fluency.
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Open worksheetFrequently asked questions
What is 4-digit by 1-digit division?
It's dividing a four-digit number, such as 4,368, by a single digit like 8, following the long division steps one extra time.
What grade practices 4-digit by 1-digit division?
This is commonly practiced in 5th grade once students are confident with smaller long division problems.
How long should these problems take?
Most 5th graders take one to three minutes per problem depending on whether a remainder is involved.
Does the worksheet include remainders?
Yes, the mix includes both problems that divide evenly and problems that leave a remainder.
What skill should come next after this?
Dividing by 2-digit divisors is the natural next step after mastering larger single-digit division.