Print free long division worksheets with answer keys, with or without remainders. Choose 2-digit to 6-digit dividends, 1-digit or 2-digit divisors, remainders on every problem, some or none, and 6 to 20 problems per page with room to work. Download a PDF for US Letter or A4.
Long division worksheets with answers to print (PDF)
These long division worksheets with answers show what the generator prints: 3-digit by 1-digit problems with no remainder, the same with a remainder on every problem, 4-digit by 2-digit problems, and the answer key. Click a picture for the PDF, or use the generator above to choose the size of the numbers and the remainders.
How to do long division step by step
Long division repeats four steps: divide, multiply, subtract, bring down. Some classes remember them as “Does McDonald’s Sell Burgers?”. Take 736 ÷ 4:
- Divide: 4 goes into 7 once. Write 1 above the 7.
- Multiply: 1 × 4 = 4. Write 4 under the 7.
- Subtract: 7 − 4 = 3.
- Bring down the next digit, 3, to make 33.
- Repeat: 4 goes into 33 eight times (8 × 4 = 32), leaving 1. Bring down the 6 to make 16.
- Repeat: 4 goes into 16 four times exactly. The answer is 184.
Check it: 184 × 4 = 736.
Long division with remainders
When the last subtraction does not reach zero, what is left is the remainder. Take 857 ÷ 6: 6 goes into 8 once (remainder 2), into 25 four times (remainder 1), and into 17 twice (remainder 5). The answer is 142 R5. Check it: 142 × 6 + 5 = 857.
The answer key writes remainders as “R”, above the bracket next to the quotient.
Long division worksheets by level
| Level | Problems | Settings to use |
|---|---|---|
| Starting out (grade 4) | 2-digit ÷ 1-digit, no remainders | Open |
| Grade 4 | 3-digit ÷ 1-digit, no remainders | Open |
| Grade 4 | 3-digit ÷ 1-digit with remainders | Open |
| Grade 4 | 4-digit ÷ 1-digit, some remainders | Open |
| Grade 5 | 3-digit ÷ 2-digit | Open |
| Grade 5 and 6 | 4-digit ÷ 2-digit | Open |
Levels follow the Common Core math standards 4.NBT.B.6, 5.NBT.B.6 and 6.NS.B.2.
Long division with remainders worksheets: the check that always works
Every long division answer can be checked with multiplication: quotient × divisor + remainder = dividend. This table shows the check for five sample problems, with the quotient and the remainder as they appear in the answer key:
| Problem | Quotient | Remainder | Check: quotient × divisor + remainder |
|---|---|---|---|
| 843 ÷ 3 | 281 | 0 | 281 × 3 + 0 = 843 |
| 952 ÷ 7 | 136 | 0 | 136 × 7 + 0 = 952 |
| 1368 ÷ 6 | 228 | 0 | 228 × 6 + 0 = 1368 |
| 725 ÷ 4 | 181 | 1 | 181 × 4 + 1 = 725 |
| 3604 ÷ 9 | 400 | 4 | 400 × 9 + 4 = 3604 |
If the check does not give back the dividend, there is a mistake in one of the steps. Ask the child to find the step where the numbers stopped matching, and not to start again.
Long division practice: how many different problems are there?
You will never run out of long division practice. The number of different problems that the generator can make for each type is very large, and the answer has two or three digits for most of them. This table is counted from the generator’s rules:
| Type | Different problems, no remainder | Different problems, remainder every time | Digits in the answer |
|---|---|---|---|
| 2-digit ÷ 1-digit | 164 | 532 | 1 to 2 |
| 3-digit ÷ 1-digit | 1,645 | 5,534 | 2 to 3 |
| 4-digit ÷ 1-digit | 16,461 | 55,526 | 3 to 4 |
| 3-digit ÷ 2-digit | 2,104 | 75,785 | 1 to 2 |
| 4-digit ÷ 2-digit | 21,139 | 786,499 | 2 to 3 |
The number of steps equals the number of digits in the dividend, minus the digits that the first division uses. A 3-digit number divided by a 1-digit number usually takes three rounds of divide, multiply, subtract and bring down, and a 4-digit number takes four. Wikipedia’s long division article shows the method in other notations.
Long division worksheets grade 4: a four-week plan
Long division is a skill that improves with short daily practice. This plan for grade 4 takes four weeks and uses six problems a day:
| Week | Settings | Problems a day | Goal |
|---|---|---|---|
| 1 | 2-digit ÷ 1-digit, no remainders | 6 | Learn the four steps |
| 2 | 3-digit ÷ 1-digit, no remainders | 6 | Keep digits in line |
| 3 | 3-digit ÷ 1-digit, with remainders | 6 | Write R and check |
| 4 | 4-digit ÷ 1-digit, some remainders | 6 | Handle zeros in the answer |
After four weeks, move on to two-digit divisors (grade 5), where the quotient digit has to be estimated, and keep a few mixed problems on each page to keep the earlier skills fresh.
Tips for long division
- Make sure times tables are secure first; long division is mostly quick multiplication.
- Keep every digit in its column. Printing on graph paper or using the extra space on these sheets helps.
- If you write a number bigger than the divisor after subtracting, the digit above was too small.
- Write a 0 in the answer when the divisor does not go into the number you brought down.
- Always check: quotient × divisor + remainder = dividend.
Common long division mistakes
- Missing a zero in the answer: when the divisor does not go into the number you brought down, write 0 above it before bringing down the next digit.
- Remainder too big: if a subtraction leaves a number as big as the divisor, the digit above is one too small.
- Bringing down two digits at once: bring down one digit per step.
- Digits drifting out of line: these long division worksheets leave space under each problem, and graph paper helps too.
Practice it as a game
Free online games for the same skill: balloon pop, memory match, races and more. No sign-up.
Frequently asked questions
5 quick answers
Are these long division worksheets free?
Yes, with answer keys, no sign-up and no watermark.
Can I make long division worksheets without remainders?
Yes. Choose “No remainders” so every problem divides exactly.
What grade learns long division?
In the Common Core standards, grade 4 divides up to four-digit numbers by one-digit numbers, grade 5 moves to two-digit divisors, and grade 6 expects fluent use of the standard algorithm.
Is long division still taught?
Yes. Grade 6 in the Common Core standards asks for fluent division of multi-digit numbers using the standard algorithm, which is long division.
What is the “bus stop” method?
It is the UK name for short division, written with the same bracket. The steps are the same, but the carried remainders are written small next to the next digit instead of subtracting underneath.
More math worksheets
- Division worksheets for facts and horizontal problems.
- Times tables worksheets.
- Math worksheet generator.