Long Division Formula

Before learning the long division formula, let us recall what is long division. In arithmetic, long division is a standard division algorithm for dividing large numbers, breaking down a division problem into a series of easier steps. It requires the constructs of a tableau. The divisor is separated from the dividend by a right parenthesis ⟨)⟩ or vertical bar ⟨|⟩ and the dividend is separated from the quotient by a vinculum (an overbar). The long division formula gives the general algorithm for the long division of any two numbers.

What Is Long Division Formula?

The division is one of the four basic mathematical operations, the other three being addition, subtraction, and multiplication.  Long division formula of a given value can be expressed as,

Dividend / Divisor = Quotient

where,

• The dividend is the number that is to be divided.
• The divisor is the number to be divided with.
• The quotient is the result.

Let us see how the long division formula is used in solving problems now.

Examples Using Long Division Formula

Example 1: Divide the value of 5050 by 50. What will be the quotient?

Solution:

To find: Quotient

Dividend = 5050.
Divisor = 50.

Using long division formula,

Dividend / Divisor = Quotient

(5050 / 50) = 101

Answer: After the division, the quotient will be 101.

Example 2: 420 chocolates were distributed equally among 4 children. How many chocolates were given to each child?

Solution: 

To find: Number of chocolates given to each child.

Given:

Total chocolets = 420

Total children = 4

Using long division formula,

Chocolates given to each child = (Total chocolates / Total Children)

= (420/4) 

= 105

Answer: 105 chocolates were given to each child.