In department we will see the relationship between thedividend, divisor, quotient and also remainder. The number i beg your pardon we division is calledthe dividend. The number whereby we division is referred to as the divisor. The an outcome obtainedis referred to as the quotient. The number left end is referred to as the remainder.

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        55           ÷         9           =           6           and           1

   Dividend             Divisor               Quotient               Remainder


For example:

(i) division 217 by 4


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Here, Dividend = 217

Divisor = 4

Quotient = 54

Remainder = 1


(ii) divide 5679 through 7


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Here, Dividend = 5679

Divisor = 7

Quotient = 811

Remainder = 2


Remainder, 55 ÷ 9 can additionally write together 9) 55 ( or 9) 55

Note: dividend = divisor × quotient + remainder

Understanding Remainder: 

We know divisor method to break-up a large group the objects into little equal groups. The big group is called the dividend. The variety of smaller equal groups is called the divisor and the variety of objects in every smaller team is dubbed the quotient.

Let united state Divide 12 cupcakes among 3 children.


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Now, let united state Divide 9 pencils into 2 equal groups.


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When us cannot make equal groups or re-superstructure equally all the objects, the number i m sorry is left undivided is referred to as the remainder. Remainder is always less than the divisor.


So, Dividend = Divisor × Quotient + Remainder

In the over example = 9 × 2 + 1

The dividend, divisor, quotient and remainder will aid us to verify the answer of division. Add remainder (if any) through the product the divisor and quotient. The sum we gain should be same to the dividend.

Let us consider some instances to verify the price of division.

1. Division 38468 by 17 and verify the answer.


Now let us verify the answer;

dividend = divisor × quotient + remainder

  38468  =   17  ×  2262   +    14

             =   38454 + 14

             =   38468

So, the answer is correct.


The quotient is 2262 and also the remainder is 14.

2. Division 58791 by 36 and also verify the answer.


Now let united state verify the answer;

dividend = divisor × quotient + remainder

 58791  =   36   ×  1633   +   3

            =   58788 + 3

            =   58791

So, the prize is correct.


The quotient is 1633 and also the remainder is 3.

3. Division 94 through 3 and verify the answer.


Step I: Write 94 inside the bracket and also 3 ~ above the left next of the bracket.

Step II: Start department from left come right, divide 9 10s by 3.

We understand that 3 × 3 = 9

Write 3 in the quotient  and also 9 listed below 9.

Subtract 9 native 9.

Step III: Bring down 4 from ones place. 3 goes right into 4, 1 time and gives 1 together remainder.

Write 1 in the quotient and also subtract 3 indigenous 4.


Thus, quotient = 31 and remainder = 1


Check: To check answer, we use the following relationship:

Dividend = Divisor × Quotient + Remainder

     94     =     3     ×     31      +       1

     94    =           93               +       1

     94    =     94

Hence, department is correct.

4. Division 654 by 7 and verify the answer.


Step I: Write 654 within the bracket and also 7 ~ above the left side of the bracket.

Step II: The divisor 7 is higher than 6. So, consider an initial two digits 65. 7 goes into 65, 9 times and gives 2 together remainder.

Step III: 24 is the brand-new dividend. 7 goes right into 24, 3 times and also gives 3 together remainder.

Write the quotient 3 and subtract 321 from 24.

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Thus, quotient = 93 and remainder = 3


Check: To check answer, we use the following relationship:

Dividend = Divisor × Quotient + Remainder

    654    =     7     ×     93      +       3

    654    =           651            +       3

    654    =     654

Hence, division is correct.

Therefore, to inspect a division sum, include the remainder to assist product that divisor and also quotient. The result should be same to the dividend.