Arithmetic Operations

Long Division Calculator

Divide non-negative values, keep the reduced fraction as the exact answer, and inspect each long-division step.

Exact arithmetic

Enter the dividend and divisor

Exact fraction + decimal

Exact quotient

Enter valid values to see the result.

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Quick guide

How to use this calculator

  1. Enter the dividend.
  2. Enter a non-zero divisor.
  3. Read the reduced exact fraction and its decimal representation.
  4. Open the steps to inspect each bring-down, quotient digit, product, and remainder.

Calculation method

Exact division before decimal display

Decimal inputs are converted to an equivalent integer ratio by multiplying both sides by powers of ten. That ratio is reduced before any decimal digits are generated.

A terminating decimal is shown completely when it fits the display limit. Repeating decimals use parentheses when the repeating cycle is found; longer expansions remain an exact fraction with a clearly truncated preview.

Worked example

Divide 125 by 8

Long division produces 15 with remainder 5, then continues through decimal places until the remainder reaches zero.

125 ÷ 8 = 125/8 = 15.625

Supported inputs

Precision and limits

Exact basis

The reduced fraction remains the exact result for every valid division.

Decimal preview

Up to 100 decimal places may be displayed without claiming a truncated value is exact.

Large operands

Each operand may contain up to 200 digits and 100 decimal places.

Defined domain

The divisor must be non-zero; negative values and ambiguous formats are not accepted here.