Remainder Calculator
Calculate the remainder when one number is divided by another (the modulo operation). Shows the quotient, remainder, and verification. Useful for divisibility checks, clock arithmetic, and programming.
Enter the dividend (number being divided) and the divisor (number you are dividing by). The calculator returns: - Quotient: how many times the divisor fits wholly into the dividend - Remainder: what is left over - Verification: dividend = quotient × divisor + remainder
Example: 25 ÷ 7 = Quotient 3, Remainder 4 (because 3 × 7 = 21, and 25 − 21 = 4).
A = Q × B + R Where A is the dividend, B is the divisor, Q is the quotient, R is the remainder.
The remainder R satisfies: 0 ≤ R < B (for positive divisor).
Alternatively, R = A − (floor(A / B) × B)
Modulo notation: A mod B = R Example: 25 mod 7 = 4 (because 25 = 3 × 7 + 4)
Verified Precise