# Division Formula

There are four basic operations of Arithmetic, namely, Addition, Subtraction, Multiplication and Division.

Division is breaking a number up into an equal number of parts. Division is a arithmetic operation used in Maths. It splits a given number of items into different groups.

For instance, 20 divided by 4: If you take 20 Apples and put them into four equal sized groups, there will be 5 apples in each group.

**Division Sign**

There are a number of signs that people may use to indicate division. The most common one is ÷, but the backslash / is also used in the form of Fraction, where a Numerator is written on the top and Denominator on the bottom.

Example signs for “a divided by b”:

**$a÷b$**

**$\frac{a}{b}$ **

**$a/b$**

The Division formula is –

\[\LARGE Dividend \div Divisor = Quotient\]

OR

\[\LARGE \frac{Dividend}{Divisor} = Quotient\]

Where,

Dividend is the number to be divided

Divisor is the number to be divided with

Quotient is the result to be found after division

**Special Cases**

During the Division operation, there are three special cases to consider,

- Dividing by 1: When any number is divided by 1, the answer remains the same. In other words, if the divisor is 1 then the quotient equals the dividend.

Examples: 40 ÷ 1 = 40

2.5 ÷ 1 = 2.5

- Dividing by 0: A number cannot be divided 0. The answer to this question is undefined.
- Dividend equals Divisor: If the dividend and the divisor are the same number (not 0), then the answer is always 1.

Examples: 40 ÷ 40 = 1

2.5 ÷ 2.5 = 1

### Solved Examples

**Question 1:**Solve 221 ÷ 13

**Solution:**

13

————-

91

91

————-

00