# DIVIDING WHOLE NUMBERS

On this webpage "Dividing whole numbers", we are going to see how to divide whole numbers.

When we divide a number by another number, we will have the terms dividend, divisor, quotient and remainder. To know more about these terms let us look into the  division algorithm.

Division algorithm :

When we divide a number by another number, the division -algorithm is, the sum of product of quotient & divisor and remainder is equal to dividend.

More clearly,

Dividend  = Quotient x Divisor + Remainder

The number which we divide is called the dividend.

The number by which we divide is called the divisor.

The result obtained is called the quotient.

The number left over is called the remainder.

More clearly, ## Division algorithm ## Dividing whole numbers - Examples

Problem 1 :

Divide 300 by 7

Solution :

Dividend = 300

Divisor = 7

Step 1 :

Take the first number of dividend and and check whether it is greater than the divisor. Step 2 :

By subtracting 28 from 30 we get 2. Here, we have to bring down the next digit of the given number. That is 0.

Now we have to take this 2 along with 0 and divide this 20 by 7. From the above long division, we have

Dividend  =  300

Divisor  =  7

Quotient  =  42

Remainder  =  6

Division algorithm for the above division Let us the next example of "Dividing whole numbers".

Problem 2 :

Divide 258 by 9, list out dividend, divisor, quotient, remainder and write division-algorithm.

Solution :

As we have seen in problem 1, if we divide 258 by 9 using long division, we get Dividend  =  258

Divisor  =  9

Quotient  =  28

Remainder  =  6

Division algorithm for the above division is

258  =  28x9 + 6

Let us the next example of "Dividing whole numbers".

Problem 3 :

Divide 400 by 8, list out dividend, divisor, quotient, remainder and write division-algorithm.

Solution :

As we have seen in problem 1, if we divide 400 by 8 using long division, we get

Dividend  =  400

Divisor  =  8

Quotient  =  50

Remainder  =  0

Division-algorithm for the above division is

400  =  50x8 + 0

Problem 4 :

Divide 1675 by 13, list out dividend, divisor, quotient, remainder and write division-algorithm.

Solution :

As we have seen in problem 1, if we divide 1675 by 13 using long division, we get

Dividend  =  1675

Divisor  =  13

Quotient  =  128

Remainder  =  11

Division-algorithm for the above division is

1675  =  128x13 + 11

Problem 5 :

Divide 750 by 16, list out dividend, divisor, quotient, remainder and write division-algorithm.

Solution :

As we have seen in problem 1, if we divide 750 by 16 using long division, we get

Dividend  =  750

Divisor  =  16

Quotient  =  46

Remainder  =  14

Division-algorithm for the above division is

750  =  46x16 + 14

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After having gone through the stuff given above, we hope that the students would have understood "Dividing whole numbers"

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