Long Division Calculator
Compute the quotient and remainder of two integers, plus the decimal result and steps.
Inputs
Quotient with remainder
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Remainder
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Decimal result
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Fractional part
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As percentage
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About Long Division Calculator
When remainder is zero
The divisor divides evenly. 12 / 3 = 4 R 0 — we say 3 is a factor of 12. The set of factors helps simplify fractions.
Modulo (mod, %)
In programming, % returns the remainder. 1234 % 7 = 2. Languages differ on sign handling for negative numbers — JavaScript follows the dividend sign.
When to round
Integer division (with remainder) for counting items: 17 cookies, 5 kids, 3 each with 2 left over. Decimal for continuous quantities: $17, 5 ways, $3.40 each.