## Definition Of Remainder

Remainder is the amount left over after division when one divisor does not divide the dividend exactly.

### More about Remainder

Dividend = (Divisor × Quotient) + Remainder

### Example of Remainder

In the above example, 2 is the divisor, 9 is the dividend, 4 is the quotient, and the left over, i.e. 1, is the remainder.

### Video Examples: The Remainder Theorem

### Solved Example on Remainder

**Ques:** Divide and write the answer with a remainder 76 ÷ 9.

##### Choices:

A. 7 r 4

B. 8 r 4

C. 4 r 8

D. 8 r 2

Correct Answer: B

#### Solution:

Step 1: [Divide.]

Step 2: So, the answer with remainder is 8 r 4.