# Dividend

In Mathematics, there are four basic operations. They are addition, subtraction, multiplication and division. These fundamental operations have been taught in our primary classes. The division process is one among the basic arithmetic operations. It involves four important terms. They are

- Dividend
- Divisor
- Quotient
- Remainder

## Dividend In Maths

In every division process, there are two necessary parts. One is a dividend, and the other is a divisor.

**Dividend**: The number that we divide is known as dividend

**Divisor**: The number which divides the dividend is known as a divisor

**Quotient:** The result obtained from the division process is known as a quotient

**Remainder:** The number left over after division process is known as the remainder

Consider an example 64 ÷ 2 = 32

Here,

Dividend = 64

Divisor = 2

Quotient = 32

Remainder = 0

It is also represented in the form of a fraction. Let us take the fraction 5/6. In this fraction, 5 is the dividend and 6 is a divisor. The dividend is known as a numerator, and the divisor is known as the denominator in fractions. When the dividend is divided by a divisor, we get a result in either integer form or decimal form.

For example, 35/7 = dividend/divisor = numerator/denominator

### How to Find Dividend?

The formula to find the dividend is

**Dividend = Divisor x Quotient + Remainder**

**Example:** Find the dividend for the following x / 6 = 5 and also verify the answer.

**Solution : **

Given: x / 6 = 5

We know that

**Dividend / Divisor = Quotient**

Therefore,

Dividend = Quotient x Divisor

x = 5 x 6

x = 30

Therefore, the dividend, x is **30.**

**Verification:**

x / 6 = 5

Now substitute the value of x

30/6 = 5

5 = 5

Therefore, L.H.S = R.H.S

Hence, Verified.

### Practice Problems

Find the dividend value “x” and also verify the answer:

- x / 3 =10
- x / 7 = 7
- x / 5 = 125