In elementary mathematics, the four basic arithmetic operations are addition, subtraction, multiplication, and division. Division is the method where we try to distribute a certain number of things into equal parts. For example, Dividing 20 apples among 5 people means that we have to distribute the 20 apples in such a way that all the 5 people have the same number of apples.

## What is Dividend?

In a division problem, the number that is to be divided or distributed into a certain number of equal parts is called the dividend. As in the example above, when we are dividing 20 apples into 5 people, the dividend is the number 20; and the number 5 is called the divisor.

When the dividend is totally divisible by the divisor, the number so gained is called the quotient. While dividing 20 apples between 5 people, we see that each person gets 4 apples. We write this in equation form as

20 ÷ 5 = 4.

Here, the number 4 is the quotient.

In case when the dividend is not totally divisible by the divisor, we get some remaining amount.

For example, if we were to divide 21 apples among 5 people, we would only be able to give 4 apples to each person and then we would be leftover with 2 apples.

This number 2 which is left after the division is called the remainder.

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## How to identify Dividend

There are several ways to express a division problem.

- The first one is the division equation. In a division equation(as given below), the number appearing right before the division symbol is called the dividend.

- In a long division method, the number that appears inside the long division symbol is called the dividend.

- In fraction notation, the number that appears on the top is the dividend.

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## Relation between the Dividend, Divisor, Quotient, and Remainder

This relation between the four terms of division operation is given by the formula

**Dividend** = Divisor × Quotient + Remainder

This relation can be used to verify a division process or can also be sued to find the dividend when only the divisor, quotient, and remainder are given.

For example, a certain division problem has the quotient as 4, remainder as 2, and divisor as 5.

The dividend for the problem can be found by using the formula

**Dividend** = Divisor × Quotient + Remainder

Dividend = 5 × 4 + 2 = 20 + 2 = 22.

## Some Facts about the Dividend

- The word
**dividend**is a derivative of the Latin word*dividendum*, which means a thing to be divided. - If the dividend and the divisor are the same, the quotient is always 1.
- If the dividend is the, then the quotient would always be 0.
- A division equation with 0 dividend and 0 divisor is not valid.

Divide 0 apples among 0 people. Wait.. what?

- If the dividend is smaller than the divisor, the quotient would always be a decimal number.

## Solved Examples

**If the quotient is 6, the divisor is 9, and the remainder is 2, then find the dividend.**

**Solution:** Given: Divisor = 9, Quotient = 6, Remainder = 2

**Dividend** = Divisor × Quotient + Remainder

Dividend = 9 × 6 + 2 = 54 + 2 = 56.

**Solve the problem and determine the dividend: A school planned to take their students for a picnic. 90 children registered their names, and 3 buses were booked. Calculate the number of children accommodated in each bus? Form the division fact for the above problem, and determine the dividend.**

**Solution: **To calculate the number of children in each bus, you need to divide the number of children among the number of buses available.

So, you will have to divide 90 by 3 –

903=30

Thus, each bus was able to accommodate 30 children.

Therefore, the dividend is 90, the divisor 3, and the quotient 30.

**Find the dividend when the divisor is 4, quotient is 0.5.**

**Solution:** Given: Divisor = 4, Quotient = 0.5, Remainder = 0

**Dividend** = Divisor × Quotient + Remainder

Dividend = 4 × 0.5 + 1 = 2 + 0 = 2.

## Practice Problems

## Dividen

### Find the dividend in the division fact: 90 ÷ 9 = 10.

The number that is being divided is the dividend i.e. 90.

### What is the dividend: 1537?

The number that is being divided is the dividend i.e. 153

### Find the dividend if the divisor is 5, quotient is 3 and remainder is 1.

On applying the formula Dividend = Divisor Quotient + Remainder, we get Dividend = 16.

### 20 chocolates are distributed among 4 kids in such a way that each kid gets 5 chocolates. What is the dividend in this example?

The number that is being divided or distributed is the dividend i.e. 20.

## Frequently Asked Questions

**Can 0 be a dividend?**

Yes, however, dividing 0 by any number always results in 0.

**How to check if the division is correct?**

This relation can be used to verify a division process or can also be used to find the dividend when only the divisor, quotient, and remainder are given.**Dividend** = Divisor × Quotient + Remainder

**How do you find the dividend when the remainder is zero?**

When the remainder is zero, you can find the dividend by using this formula:

Dividend = Divisor x Quotient

**Can the divisor be greater than the dividend?**

Yes, the divisor can be greater than the dividend. In that case, the quotient will be a decimal number. For example, 85 ÷ 1000 = 0.085.