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Long Division Calculator

Divide whole numbers exactly, then follow decimal digits, remainders and repeating blocks.

Your numbers

Make it your own
Decimal quotient
15.625

Calculated from your inputs · rounded for display

Whole-number quotient15
Integer remainder5
Decimal statusTerminating

Your calculation, step by step

No black boxes
  1. 125 = 8 × 15 + 5.
  2. For each decimal digit, multiply the remainder by 10, divide and retain the new remainder. Parentheses mark a repeating block.
Detailed results · 6 entries
PlaceDividend fragmentQuotient digitRemainder
Whole 1101
Whole 21214
Whole 34555
Decimal 15062
Decimal 22024
Decimal 34050

How to use this calculator

  1. Enter your own values in the labeled fields. Check the units and assumptions before comparing results. Only the fields needed for your selected calculation mode are shown.
  2. Your answer updates automatically. Review the calculation steps to see exactly how it was calculated.
  3. Copy, share, save, or download your result. Saved inputs stay on this device.

How the calculation works

a = bq + remainder; next decimal digit = floor(10 × remainder / b)

Inputs are nonnegative integers with at most 30 digits. Decimal expansion uses exact remainder tracking. Repeated remainders identify recurring digits in parentheses; expansions longer than 100 places are explicitly truncated. Review the units, period and assumptions before comparing scenarios. Displayed values are rounded, while the underlying calculation retains its available precision.

A worked example

125 ÷ 8 gives quotient 15 and remainder 5, followed by decimal digits 6, 2 and 5: 15.625.

Reading your result

Use the main result together with its units and supporting figures. Display values are rounded; calculations keep their underlying precision. A change in inputs or assumptions can change the answer. Compare the step-by-step working with your intended use before relying on an estimate.

Frequently asked questions

What assumptions does this calculation use?

Inputs are nonnegative integers with at most 30 digits. Decimal expansion uses exact remainder tracking. Repeated remainders identify recurring digits in parentheses; expansions longer than 100 places are explicitly truncated.

Can I save or check a scenario?

The result includes the working and supporting values. Save and Restore keep inputs on this device; Copy, Download and Print export the result. Sharing a scenario explicitly includes the inputs in its link.

Sources & methodology

This calculator uses the mathematical identity and assumptions stated above. No current rates, prices, or external data are loaded. Conversion tools use international unit definitions.

Formula review: October 24, 2026. Read our methodology.