Use this calculator to verify a hand calculation, normalize a value before another tool, or make the exact arithmetic convention explicit in a reproducible workflow.

Modulus

An integer input greater than or equal to 1.

Value

An integer input greater than or equal to 0.

The formula below determines the tool output. Complement: The calculated complement.^[1]

Calculations use JavaScript number arithmetic. Binary floating-point representation can make some decimal results inexact, and values outside the supported numeric range can overflow or lose precision. Round only for presentation unless the selected rounding tool is itself the intended operation.

Use the inverse operation to check a result when one exists: addition pairs with subtraction, multiplication with division, and powers with roots. For rounding or normalization tools, retain the unmodified value when later calculations still require full precision.

• Division with Remainder Calculator

  Calculate an integer quotient and remainder using truncating division.

• Positive Modulo Calculator

  Calculate a normalized nonnegative modulo result.