# DIVISION ALGORITHM

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

More clearly,

Dividend = Quotient x Divisor + Remainder

When we divide a number by another number, we will have the terms dividend, divisor, quotient and 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 for the above : ## Solved Problems

Problem 1 :

Divide 300 by 7, list out dividend, divisor, quotient, remainder and write division algorithm.

Solution :

Let us divide 300 by 7 using long division as given below. From the above long division, we have

Dividend = 300

Divisor = 7

Quotient = 42

Remainder = 6

Division algorithm for the above division : 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 = 28 x 9 + 6

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 = 50 x 8 + 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 = 128 x 13 + 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 = 46 x 16 + 14

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