Maths & numbers

Long division calculator with remainder steps

Divide whole numbers with a quotient, remainder, decimal approximation and a digit-by-digit work table.

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Divide whole numbers with a quotient, remainder, decimal approximation and a digit-by-digit work table.

Worked example comparison
ExampleOutputWhat to notice
Worked exampleQuotient61987 divided by 16 gives 61 remainder 11, since 16 × 61 + 11 = 987.
Exact divisionQuotient64The final subtraction leaves zero remainder.

Check your understanding

What if the dividend is smaller than the divisor?

The quotient is zero and the entire dividend is the remainder.

What does the “Exact division” setting illustrate?

The final subtraction leaves zero remainder.

Behind the numbers

How this calculation works

The table follows the same bring-down and subtract procedure used on paper. An exact integer engine retains every digit and verifies the remainder stays below the divisor at each step.

THE FORMULAAt each digit, divide the carried remainder × 10 plus the next digit, then subtract the quotient digit × divisor.

A worked example

987 divided by 16 gives 61 remainder 11, since 16 × 61 + 11 = 987.

Good to know

Nonnegative integer dividends and positive integer divisors up to 80 digits. The decimal view is rounded to 24 significant digits.

How the inputs affect the result

A zero quotient digit is meaningful inside the quotient. Keep it when a brought-down value is smaller than the divisor and later digits remain.

The final subtraction leaves zero remainder.

Where the calculation applies

Nonnegative integer dividends and positive integer divisors up to 80 digits. The decimal view is rounded to 24 significant digits.

For a related calculation, see the Fraction to decimal converter with repeating blocks.

A few questions, answered

What if the dividend is smaller than the divisor?

The quotient is zero and the entire dividend is the remainder.

What does the “Exact division” setting illustrate?

The final subtraction leaves zero remainder.

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