Long Division Calculator with Steps
Divide two whole numbers with a remainder, step by step as in school.
Good to know. Divide, multiply, subtract, bring down. Generations of pupils have remembered it as “Does McDonald’s Sell Burgers”.
How it works
In plain words
Work from the left. Divide the first part of the number that the divisor fits into, write the result, multiply back, subtract, and bring down the next digit. Repeat until there are no digits left; what remains is the remainder.
The formula
dividend = divisor × quotient + remainder 0 ≤ remainder < divisor
Worked example
74 ÷ 23 = 3, leaving 5. Bring down 8: 58 ÷ 23 = 2, leaving 12. Bring down 9: 129 ÷ 23 = 5, leaving 14. So 7,489 ÷ 23 = 325 remainder 14.
Sources
No outside data or rates: this is plain arithmetic.
4 automated tests check its answers on every change.
About the long division calculator with steps
Long division breaks a big division into small steps, one digit at a time. This calculator does the division and shows every step in a table, so you can check homework or follow the method.
Each step has the same four moves: divide, multiply, subtract and bring down. Take the first part of the number that the divisor goes into, write how many times it goes, multiply back, subtract to find what is left over, and bring down the next digit next to it. When there are no more digits, what is left over is the remainder.
The answer is given three ways. As a quotient and remainder: 325 remainder 14. As a mixed number: 325 14/23, since the remainder is the part of another divisor left over. And as a decimal, 325.6087, which is what you get by carrying on the division past the decimal point.
You can check any division by multiplying back: the divisor times the quotient, plus the remainder, gives the number you started with. 23 × 325 + 14 = 7,489.
Questions people ask
How do you do long division?
Divide, multiply, subtract and bring down the next digit, and repeat until no digits are left. What remains is the remainder.
How do I check a long division answer?
Multiply the divisor by the quotient and add the remainder. You should get the number you started with.
How do I turn a remainder into a decimal?
Divide the remainder by the divisor: 14 ÷ 23 = 0.6087, so 325 remainder 14 is 325.6087.