Remainder Calculator

Remainder Calculator

Calculate the quotient and remainder of a division problem by entering the dividend and divisor below.
Please enter a valid dividend number
Please enter a non-zero divisor

Visual representation will appear here after calculation

How to Calculate Remainder

The remainder is what's left over when one number doesn't divide evenly into another. It's a fundamental concept in arithmetic and has many practical applications in everyday calculations.

Formula

The formula for division with remainder is:

\[ \text{Dividend} = (\text{Divisor} \times \text{Quotient}) + \text{Remainder} \]

Where:

  • Dividend: The number being divided
  • Divisor: The number we are dividing by
  • Quotient: The result of the division
  • Remainder: The amount left over

Calculation Steps

  1. Identify the dividend and divisor.
  2. Divide the dividend by the divisor.
  3. The whole number part of the result is the quotient.
  4. Multiply the quotient by the divisor.
  5. Subtract this result from the dividend to get the remainder.

Example

Let's divide 17 by 5:

  1. Dividend = 17, Divisor = 5
  2. 17 ÷ 5 = 3 remainder 2
  3. Quotient = 3
  4. 5 × 3 = 15
  5. 17 - 15 = 2 (Remainder)

Therefore, 17 = (5 × 3) + 2

Visual Representation

Division with Remainder: 17 ÷ 5 5 5 5 2 Quotient (3) × Divisor (5) = 15 Remainder = 2 Complete Groups of 5 Remainder

This diagram shows 17 divided into 5 equal parts (3 times) with 2 left over.

Article Navigation