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2xKit

Long Division Calculator

Solve long division problems with the traditional visual layout and full steps.

Formula v2.0.0GlobalMethodologyReport an issuelong-division-v1
How this is calculated
Simulates the long-division algorithm digit by digit

Assumptions used in this calculation

  • Integer inputs: The dividend and divisor are treated as whole numbers; the step-by-step breakdown follows the standard integer long-division algorithm.

About this calculator

Long division is one of the most error-prone manual arithmetic processes, since a single mistake bringing down a digit or misjudging how many times the divisor fits derails every step after it, and there's no easy way to spot-check an intermediate step. This calculator takes a dividend and divisor and simulates the long-division algorithm digit by digit, exactly as it's taught in school, rendering it in the traditional bracket layout with the quotient on top and each step's subtraction shown underneath, alongside a detailed table of every bring-down, quotient digit, product and remainder. It also computes the exact decimal expansion — including detecting and labeling a repeating decimal (like 1 ÷ 3 = 0.333...) rather than just cutting it off — and the result is printable and copyable. A divisor of 0 is rejected outright since division by zero is undefined. That makes it useful both for checking a homework answer step-by-step in the format it was taught, and for quickly getting a quotient, remainder and decimal without working through the process by hand.

Worked example

97 ÷ 4

Result: Quotient 24, remainder 1

How to use this

  1. 1Enter the dividend, the number being divided.
  2. 2Enter the divisor, the number you're dividing by.
  3. 3Read the quotient along with the full step-by-step long-division working shown below the result.

Troubleshooting

  • The result shows a remainder instead of a clean decimal.

    Both the whole-number quotient with remainder and the decimal-expanded quotient are shown, use whichever form fits what you're solving for.

  • Can I divide by a decimal number?

    Enter the divisor as a whole number when possible, if you need to divide by a decimal, multiply both the dividend and divisor by the same power of 10 first to clear the decimal, the result is unchanged.

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Frequently asked questions