Long Division Calculator
Divide any two numbers and see step-by-step work.
This tool is for informational and educational purposes only. It is not a substitute for professional financial, medical, legal, or engineering advice. See Terms of Service.
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This calculator performs long division on any two numbers and shows every step of the process, just like working it out on paper. Whether you are checking homework or learning the algorithm, the step-by-step breakdown makes the process clear.
- Enter the dividend. This is the number being divided. It appears inside the long division bracket. You can enter whole numbers or decimals.
- Enter the divisor. This is the number you are dividing by. It appears outside the bracket. The divisor cannot be zero.
- Read the result. The quotient (whole number result) appears immediately, along with the remainder and the full decimal result.
- Review the steps. Below the result card you will see each step of the long division process: bring down, divide, multiply, and subtract, just as you would write it by hand.
Use the Copy button to grab the result, or Share to send a link with your inputs pre-filled. The calculator updates live as you type, so you never need to press a button.
About Long Division
Long division is the standard algorithm for dividing multi-digit numbers. It breaks a large division problem into a series of smaller steps: divide, multiply, subtract, bring down. This cycle repeats until every digit of the dividend has been processed. The result is a quotient (the whole number answer) and a remainder (what is left over).
Long division is taught in elementary school and remains useful throughout mathematics. It forms the basis for polynomial division in algebra and is closely related to the modulo operation used in computer science. Understanding the step-by-step process builds number sense and strengthens mental math skills.
Frequently Asked Questions
How do you do long division?
Long division follows four repeating steps: divide, multiply, subtract, bring down. First, determine how many times the divisor fits into the leading digits of the dividend. Multiply that number by the divisor, subtract the product from the current portion of the dividend, then bring down the next digit. Repeat until no digits remain. The final leftover is the remainder.
What is the remainder in division?
The remainder is the amount left over after dividing as evenly as possible. For example, 1234 divided by 56 gives a quotient of 22 with a remainder of 2, because 22 x 56 = 1232, and 1234 minus 1232 = 2. If the remainder is 0, the division is exact.
What is the difference between long division and short division?
Short division is a condensed form of long division used when the divisor is a single digit. Instead of writing out the multiply and subtract steps, you perform them mentally and write only the quotient digits and carry values. Long division writes every step explicitly, which is necessary for multi-digit divisors and helps avoid mistakes.
How do you check a division answer?
Multiply the quotient by the divisor, then add the remainder. The result should equal the original dividend. For example, if 1234 / 56 = 22 remainder 2, then 22 x 56 + 2 = 1232 + 2 = 1234. This verification works for every division problem.