# 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.