Remainder Calculator

Integer remainder (modulo) with quotient and the divisibility identity a = bq + r.

Calculator Numbers & Math Updated Apr 20, 2026
How to Use
  1. Enter dividend and divisor.
  2. Result shows quotient, remainder, and verification.
Input
Result

Identity

Division algorithm
a = b · q + r · 0 ≤ r < |b|
JS %
in JavaScript: -7 % 3 = -1 (sign of dividend) — this tool returns Euclidean remainder

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