Long Division Calculator with Steps
Type a division and see it worked out the way it is written on paper, with every step explained, the remainder or decimals, and a check you can print.
Long division repeats four moves: divide, multiply, subtract, bring down. For 152 ÷ 7: 15 ÷ 7 = 2, 2 × 7 = 14, 15 − 14 = 1; bring down 2 to make 12; 12 ÷ 7 = 1, 12 − 7 = 5. So 152 ÷ 7 = 21 R 5, and 21 × 7 + 5 = 152 checks it.
Answer with
Layout
Quotient
152 ÷ 7 = 21 R 5
As a mixed number: 21 5/7
Worked on paper
Step by step
- 1.15 ÷ 7 = 2, so write 2. Multiply: 2 × 7 = 14. Subtract: 15 − 14 = 1. Bring down the next digit to make 12.
- 2.12 ÷ 7 = 1, so write 1. Multiply: 1 × 7 = 7. Subtract: 12 − 7 = 5.
Check: 21 × 7 + 5 = 152
How to use the long division calculator
- 1Type the dividend (the number being divided) and the divisor.
- 2Choose a remainder answer or a decimal answer, and how many decimal places at most.
- 3Pick the layout your class uses: the bracket with the divisor on the left, or the divisor on the right.
- 4Read the working and the numbered steps under it; turn off the products for the short method.
- 5Use the check line to confirm the answer, and print the working for a notebook or the board.
When this is useful
Checking homework
Compare a child's working line by line with the correct one, not only the final answer.
Modeling on the board
Project a problem and talk through each divide, multiply, subtract and bring-down step.
Making answer keys
Print worked solutions for the problems on a practice sheet.
Moving to decimals
Show how bringing down zeros after the decimal point continues the same steps.
Reteaching a mistake
Find the exact step where a forgotten zero or a wrong subtraction changed the answer.
Examples to try
152 ÷ 7
21 remainder 5; as a mixed number 21 5/7. Check: 21 × 7 + 5 = 152.
1035 ÷ 5
207: when 3 is too small to divide by 5, a 0 goes in the quotient before bringing down the 5.
211 ÷ 4 with decimals
52.75: after 211 the remainder 3 becomes 30, then 20, by bringing down zeros.
1 ÷ 6
0.1(6): the remainder 4 keeps coming back, so the 6 repeats forever.
4.5 ÷ 0.12
Move both decimal points two places: 450 ÷ 12 = 37.5.
Tips for better results
Every bring-down needs a quotient digit
If the new number is smaller than the divisor, write 0 in the quotient before bringing down the next digit. Skipping it is the most common long division mistake.
The remainder must be smaller than the divisor
If it isn't, the quotient digit was too small: go up by one and multiply again.
Line up the columns
Each product goes directly under the digits it was subtracted from; squared paper helps.
Decimal divisors first
Make the divisor a whole number by moving both decimal points the same number of places before you start.
How the long division calculator works
The calculator works digit by digit from the left, exactly like the written method: it divides the current number by the divisor, writes the quotient digit, multiplies, subtracts and brings down the next digit. It uses whole-number arithmetic throughout, so long numbers and repeating decimals come out exactly, not rounded by a computer.
For a decimal answer it keeps bringing down zeros after the decimal point. If a remainder comes back that has appeared before, the digits from that point repeat forever and are shown in brackets. Otherwise it stops at the number of places you choose and rounds the last digit half up.
Layouts differ between countries. The bracket (the divisor on the left, the quotient above) is used in the United States, the United Kingdom, Indonesia and much of the Arab world; in Brazil, Spain and much of South America the divisor sits on the right, with the quotient written under it.
Private by design
- No account and no sign-up. Just open it and start.
- Everything runs on your device, which keeps the numbers you divide private.
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Frequently asked questions
How do you do long division step by step?
Divide the first part of the dividend by the divisor, write the digit above, multiply it by the divisor, subtract, and bring down the next digit. Repeat until every digit has been brought down. What is left is the remainder.
How do I write the remainder?
As "R" (152 ÷ 7 = 21 R 5), as a fraction of the divisor (21 5/7), or as decimals by bringing down zeros (21.714…). The calculator shows the remainder and the mixed number, or decimals if you choose them.
What if the divisor is a decimal?
Move the decimal point in the divisor to the right until it is a whole number, and move the dividend's point the same number of places. 7 ÷ 0.3 becomes 70 ÷ 3. The quotient is the same.
Why does my answer repeat?
When a remainder you have seen before comes back, the same digits follow again. 1 ÷ 3 = 0.333… and 1 ÷ 7 = 0.142857142857…. The repeating part is shown in brackets.
Can it divide by a two- or three-digit number?
Yes. Divisors and dividends can have up to 15 digits each. With a two-digit divisor, estimate each quotient digit by rounding the divisor, then adjust if the product is too big.
Is the short method supported?
Turn off "Write the products to subtract" to show only the remainders, the way many classes write division once they can subtract in their heads.
More classroom tools
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Share counters into equal groups, find the quotient and remainder, check answers by multiplying, and work out what a leftover means.
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