Remainder Calculator

Calculate the remainder (modulus) of division between two numbers

Input Parameters

Calculation Results

Calculation Formula

Remainder = Dividend mod Divisor

Where:
- Remainder is the result of the modulus operation
- Dividend is the number being divided
- Divisor is the number by which the dividend is divided

Calculation Result

Remainder:

Division Result (Quotient):

Remainder Calculator Calculator Usage Guide

Learn how to use the Remainder Calculator and understand the modulus operation

What is the Remainder Calculator?

This calculator performs the modulus operation, which finds the remainder when one number (dividend) is divided by another number (divisor).

How to Use

  1. Enter the dividend (the number you want to divide) in the "Dividend" field
  2. Enter the divisor (the number you want to divide by) in the "Divisor" field
  3. Click the "Calculate" button to compute the remainder
  4. The result will be displayed in the "Remainder" field
  5. The quotient (integer part of the division) will also be shown

Understanding the Modulus Operation

The modulus operation (denoted by the % symbol in most programming languages) returns the remainder after division of one number by another. For example:

  • 7 mod 3 = 1 (since 7 = 2 × 3 + 1)
  • 10 mod 2 = 0 (since 10 = 5 × 2 + 0)
  • 5 mod 1 = 0 (since 5 = 5 × 1 + 0)
  • -5 mod 3 = 1 (since -5 = -2 × 3 + 1)

Practical Applications

The remainder operation has many practical applications:

  • Determining if a number is even or odd (a number is even if it mod 2 = 0)
  • Calculating hours and minutes (e.g., 125 minutes mod 60 = 5 minutes)
  • Creating patterns and cycles in algorithms
  • Working with circular data structures