Math · Arithmetic

Long Division Calculator

Divide any two integers and see the quotient, remainder, full decimal expansion — including repeating digits — and the step-by-step working.

Division result
-
Quotient (integer part)
-
Remainder
-
Decimal digits
-
Verification
-
Long division steps
Division algorithm: dividend = divisor × quotient + remainder, with 0 ≤ remainder < |divisor|.
Terminating decimals: occur when the divisor has only 2 and 5 as prime factors.
Repeating decimals: a repeating remainder signals an infinite recurring expansion, shown with parentheses, e.g. 1/3 = 0.(3).

Full decimal expansion

Terminating or repeating — the exact expansion is shown, not rounded.

Repeating digit detection

Recurring remainders are caught and the repeating block is highlighted.

Step-by-step working

Every subtraction in the long division process is laid out.

Verified result

The identity divisor × quotient + remainder = dividend is always checked.

More Math Tools

Explore arithmetic and number theory calculators.