Real bracket layout
The quotient sits on top, the divisor sits outside the bracket, and every subtraction lines up under the right digit, just like on paper.
Free math tool · Shows every step
Long Division Calculator
Divide any two numbers and see the full working, digit by digit. This long division calculator gives you the quotient, remainder, decimal and fraction, then animates each divide, multiply, subtract and bring-down step so you learn the method instead of just copying an answer.
- Remainders
- Decimals & repeating decimals
- Negative numbers
- Practice mode
Long division calculator with steps
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Quotient
Remainder
Decimal
Fraction
Step-by-step working
Step 1Multiples of 32
Read every step as text
Practice mode
Long Division Practice Problems
Ready to try it yourself? Pick a level, solve the problem on paper, then enter your quotient and remainder. You get instant feedback, and you can open the full working for any problem.
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Built for learning
Why This Long Division Calculator Is Better
Most division tools print a single answer or bury the working in a long block of text. This one shows the layout you know from school and walks through it with you.
Animated step player
Play, pause or step back through the work. Each step is labeled divide, multiply, subtract or bring down and explained in plain words.
Remainders and decimals
Get the answer as a remainder, a mixed-number fraction and a decimal. Repeating decimals are detected and marked with a bar.
Decimal divisors made simple
Divide by numbers like 0.4 or 2.75. The calculator moves the decimal point for you and explains why the answer stays the same.
Multiples helper
A live times table of the divisor highlights the product used in each step, so two-digit divisors become much easier to follow.
Private and fast
Everything runs in your browser. Nothing is uploaded, there is no sign-up, and results update as you type, even on a phone.
Quick start
How to Use the Long Division Calculator
You can solve any problem in four quick steps.
Enter the dividend
Type the number you want to divide. Whole numbers, decimals and negative numbers all work, up to 24 digits.
Enter the divisor
Type the number you are dividing by. It can be a whole number or a decimal, but it cannot be zero.
Pick the answer style
Choose Remainder for school-style answers such as 15 R 7, or Decimals to keep dividing to as many as 12 decimal places.
Follow the steps
Press Calculate, then Play steps or use the arrows. The highlighted digits show exactly which numbers each step uses.
The method
How to Do Long Division Step by Step
Long division breaks a big division into a series of small ones. The dividend is the number being divided, the divisor is the number you divide by, the quotient is the answer, and the remainder is what is left over.
- DDivide
See how many times the divisor fits into the current number.
- MMultiply
Multiply that quotient digit by the divisor.
- SSubtract
Subtract the product. The result must be smaller than the divisor.
- BBring down
Bring down the next digit, then repeat the cycle.
Worked example: 487 ÷ 32
Many students remember the order with the phrase “Does McDonald’s Sell Burgers?” Here is how it works on a real problem.
- 32 does not go into 4, so look at 48 instead. It fits once, so write 1 above the 8.
- Multiply 1 × 32 = 32, then subtract: 48 − 32 = 16.
- Bring down the 7 to make 167. Since 32 fits into 167 five times, write 5 above the 7.
- Multiply 5 × 32 = 160 and subtract: 167 − 160 = 7.
- No digits are left, so the answer is 15 R 7. To check it, 32 × 15 + 7 = 487.
The same method has been taught for centuries. You can read more about its history and notation around the world.
Leftovers
Long Division with Remainders
A remainder appears when the divisor does not fit into the dividend an exact number of times. In other words, it is the part left over after you make as many whole groups as possible. The remainder is always smaller than the divisor. If it is not, the last quotient digit is too small.
You can write the same result in three ways. For example, 1234 ÷ 7 gives:
- Remainder form: 176 R 2
- Mixed number: 176 2/7, because the remainder goes over the divisor
- Decimal: 176.285714…, where the block 285714 repeats forever
This long division calculator shows all three at once. As a result, you can copy whichever format your teacher or worksheet asks for.
Decimal points
Long Division with Decimals
When the dividend has a decimal
Divide exactly as you would with whole numbers. However, as soon as you reach the decimal point in the dividend, place a decimal point in the quotient directly above it. For example, 12.5 ÷ 5 = 2.5.
When the divisor has a decimal
First, turn the divisor into a whole number by moving its decimal point to the right. Then move the dividend’s decimal point the same number of places. Because both numbers grow by the same power of 10, the answer does not change. So 12.6 ÷ 0.4 becomes 126 ÷ 4, which equals 31.5.
Adding zeros and repeating decimals
If the digits run out but a remainder is left, write a decimal point and keep bringing down zeros. Sometimes the remainder eventually reaches zero, as in 487 ÷ 32 = 15.21875. Other times a remainder comes back, and so the digits repeat too. For instance, 22 ÷ 7 = 3.142857142857…, which is written with a bar over 142857.
Avoid these
Common Long Division Mistakes
- Forgetting a zero in the quotient. If the divisor does not fit, write 0 before you bring down the next digit. Otherwise, 1015 ÷ 5 turns into 23 instead of 203.
- Leaving a remainder that is too big. After each subtraction, the result must be smaller than the divisor. If it is not, increase the quotient digit by one.
- Misplacing the decimal point. Always line up the decimal point in the answer directly above the one in the dividend.
- Bringing down two digits at once. Bring down only one digit per step, even when the number is still too small to divide.
- Skipping the check. Multiply the quotient by the divisor and add the remainder. You should get the dividend back.
Benefits
Who This Long Division Calculator Helps
Clear working helps anyone who needs to divide, not only students.
Students
Check homework, spot exactly where a mistake happened and practice until the method feels automatic.
Parents and tutors
Explain the method the same way schools teach it, with clear words for each step instead of shortcuts.
Teachers
Project the board, play the steps one at a time, and share a link that opens the exact same problem.
Everyday math
Split a bill, pack items into boxes or work out unit prices when you also need to know what is left over.
Questions
Long Division Calculator FAQs
How do you do long division step by step?
Repeat four steps from left to right: divide, multiply, subtract and bring down. First, see how many times the divisor fits into the first part of the dividend and write that digit above. Next, multiply it by the divisor, subtract, and bring down the next digit. Keep going until no digits are left. Whatever remains is the remainder.
What is the remainder in long division?
The remainder is the amount left over after the divisor has gone into the dividend as many whole times as possible. It is always smaller than the divisor. For example, 487 ÷ 32 = 15 R 7, because 32 × 15 = 480 and 487 − 480 = 7.
How do you do long division with decimals?
If the dividend has a decimal, divide as usual and put the decimal point in the answer directly above the one in the dividend. If the divisor has a decimal, move its decimal point right until it is a whole number, and move the dividend’s point the same number of places. For example, 12.6 ÷ 0.4 becomes 126 ÷ 4 = 31.5.
How do you divide by a two-digit number?
The steps are the same, but estimating each digit takes more care. Round the divisor to the nearest ten to make a guess, then check it with multiplication. To divide 167 by 32, think 160 ÷ 30 ≈ 5, and 5 × 32 = 160 fits. The multiples list in the calculator shows every product from 1 to 9, so you can pick the right digit quickly.
How do I write a remainder as a fraction or a decimal?
Put the remainder over the divisor to get a fraction, so 15 R 7 from 487 ÷ 32 becomes 15 7/32. To get a decimal, keep dividing by adding zeros after the decimal point: 487 ÷ 32 = 15.21875. Switch the calculator to Decimals to see these extra steps.
How do I check a long division answer?
Multiply the quotient by the divisor, then add the remainder. If you get the dividend back, the answer is correct. For 487 ÷ 32 = 15 R 7, the check is 32 × 15 + 7 = 480 + 7 = 487. The calculator runs this check for you automatically.
Can this calculator show repeating decimals?
Yes. When a division never ends, such as 22 ÷ 7 or 1 ÷ 3, the calculator finds the repeating block and marks it with a bar. It also rounds the answer to the number of decimal places you choose, from 1 to 12.
Why is there a zero in the middle of the quotient?
A zero appears when the divisor does not fit into the current number at all. You still have to write 0 in the answer before you bring down the next digit. Skipping it is the most common long division mistake. For example, 1015 ÷ 5 = 203, not 23.
Start now
Solve Your Next Division Problem
Enter any two numbers above to see the full working in seconds. When you feel ready, switch to practice mode and test yourself without help.
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