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 =

= = 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 =

== 1305

Hence, the divisor is 1305

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