What is Division?

Division is a fundamental arithmetic operation that holds significant importance both in mathematics and daily life. It involves dividing a number (known as the dividend) by another number (the divisor) to determine the number of equal parts or groups.

For instance, let's consider an example to illustrate division to your child. Imagine Sneha has 20 mangoes and wants to distribute them equally between two friends. How many apples will each friend receive?

Division Calculator

First Value:

Second Value:

Understanding the Components of Division:

  • Dividend: This is the total quantity being divided, such as the 20 mangoes in our example.
  • Divisor: The divisor is the number by which the dividend is divided, indicating the number of groups or parts the dividend is split into. In this case, the divisor is 2, as Sneha is dividing the mangoes between 2 friends.
  • Quotient: The quotient is the result of division, indicating how many times the divisor fits into the dividend completely.
  • Remainder: Occasionally, the divisor doesn't divide the dividend evenly, leaving a remainder, which is the extra amount left over.

Formulas for Division:

Formula 1: Dividend ÷ Divisor = Quotient
Formula 2: Dividend ÷ Divisor = Quotient with a remainder of Remainder

For example, when dividing 20 by 2, the quotient is 10, with no remainder. However, if we divide 15 by 2, the quotient is 7 with a remainder of 1.

Using a Division Calculator:

Step 1: Enter the Dividend: Input the total quantity to be divided.

Step 2: Input the Divisor: Enter the number by which the dividend will be divided.

Step 3: Click Calculate: Let the calculator compute the quotient and any remainder.


Q1. What is the full formula for division?

The full formula is expressed as: Dividend = Divisor × Quotient + Remainder. For example, when dividing 22 by 7, with a quotient of 3 and a remainder of 1, the expression becomes 22 = 7 × 3 + 1.

Q2. Which number is divisible by 11?

A number is divisible by 11 if the alternating sum of its digits is 0 or divisible by 11. For example, 121 is divisible by 11 because its alternating sum (1 - 2 + 1) equals 0.

Q3. How do you solve division on a calculator?

Simply input the dividend, then the division symbol, followed by the divisor, and press equals to get the quotient. For instance, inputting "250 ÷ 50" would yield a quotient of 5, as 250 divided by 50 equals 5.