Terms Used in Division

The terms used in division are dividend, divisor, quotient and remainder.  

We know that divisor means to split a large group of objects into smaller equal groups. The larger group is called the dividend. The number of smaller equal groups is called the divisor and the number of objects in each smaller group is called the quotient.

Let us divide 12 candies among 3 children.

Divide 12 Candies

Now, let us divide 9 flowers into 2 equal groups.

Division Terms

When we cannot make equal groups or share equally all the objects, the number which is left undivided is called the remainder. Remainder is always less than the divisor.

Dividend Divisor Quotient Remainder

Division is repeated subtraction. 

For example:

24 ÷ 6 

How many times would you subtract 6 from 24 to reach 0? 

24 - 6 = 18 one time 

18 - 6 = 12 two times

12 - 6 = 6 three times 

6 - 6 = 0 four times

For every multiplication fact, there are two division facts. 

For example:

(i) 5 × 7 = 35

35 ÷ 5 = 7; 35 ÷ 7 = 5

(ii) 8 × 6 = 48

48 ÷ 8 = 6; 48 ÷ 6 = 8

(iii) 9 × 5 = 45 is the same as 45 ÷ 9 = 5

7 × 9 = 63 is the same as 63 ÷ 7 = 9


Each of the terms used in division are explained below:

The number which is divided is called the dividend.

The number which divides is called the divisor.

The number which is the result of the division is called the quotient.

If there is any number left over, it is called the remainder.


The answer of a division operation can be verified in the following manner:

Quotient × Divisor + Remainder = Dividend


Consider the following examples to understand the terms showing in the division:

(i) 54 divided by 6

The terms used in division are dividend, divisor, quotient and remainder

Dividend = Divisor × Quotient + Remainder

54 = 6 × 9 + 0


(ii) 81 divided by 9.

Division terms showing in the division

Dividend = Divisor × Quotient + Remainder

81 = 9 × 9 + 0


Properties of Division:

Let us recall the properties of division:

I: When the dividend is 0 and the divisor is a non-zero number, the quotient is 0.

(i) 0 ÷ 9 = 0

(ii) 0 ÷ 45 = 0

(iii) 0 ÷ 4524 = 0


II. When the divisor is 1, the quotient is the same number as the dividend.

(i) 8 ÷ 1 = 8

(ii) 77 ÷ 1 = 77

(iii) 4254 ÷ 1 = 4254


III. When the dividend and the divisor are the same non-zero number, the quotient is 1.

(i) 7 ÷ 7 = 1

(ii) 16 ÷ 16 = 1

(iii) 250 ÷ 250 = 1

Related Concept

Addition

Word Problems on Addition

Subtraction

Check for Subtraction and Addition

Word Problems Involving Addition and Subtraction

Estimating Sums and Differences

Find the Missing Digits

Multiplication

Multiply a Number by a 2-Digit Number

Multiplication of a Number by a 3-Digit Number

Multiply a Number

Estimating Products

Word Problems on Multiplication

Multiplication and Division

Terms Used in Division

Division of Two-Digit by a One-Digit Numbers

Division of Four-Digit by a One-Digit Numbers

Division by 10 and 100 and 1000

Dividing Numbers

Estimating the Quotient

Division by Two-Digit Numbers

Word Problems on Division





4th Grade Math Activities

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