# Division Algorithm

According to Division Algorithm,

dividend = (divisor x quotient) + remainder

Example 1

Find the number which when divided by 82 gives 12 as quotient and 3 as remainder?

Explanation

Given,
Divisor = 82
Quotient = 12
Remainder = 3

In this question we have to use division algorithm
Dividend = (divisor x quotient) + remainder
= ( 82 x 12 ) + 3
= 984 + 3
= 987

Hence, the dividend is 987

Example 2

Find the number which when divided by 68 gives 7 as quotient and 3 as remainder?

Explanation

Given,
Divisor = 68
Quotient = 7
Remainder = 3

In this question we have to use division algorithm
Dividend = (divisor x quotient) + remainder
= ( 68 x 7 ) + 3
= 476 + 3
= 479

Hence, the dividend is 479

Example 3

If the Dividend = 5525 , quotient = 15 and remainder = 5 , find the Divisor ?

Explanation

Given,
Dividend = 5525
Quotient = 15
Remainder = 5
In this question we have to use division algorithm
Dividend = (divisor x quotient) + remainder
Dividend – remainder = divisor x quotient
Divisor = (5525-5)/15

= 5520/15 = 368

Hence, the divisor is 368

Example 4

If the Dividend = 6526 , quotient = 5 and remainder = 1 , find the Divisor ?

Explanation

Given,
Dividend = 6526
Quotient = 5
Remainder = 1
In this question we have to use division algorithm
Dividend = (divisor x quotient) + remainder
Dividend – remainder = divisor x quotient
Divisor = (6526-1)/5

= 6525/5 = 1305

Hence, the divisor is 1305