Question

on dividing 363567 by a number the quotient and remainder are 813 and 156.what is the divisor

Answer 1

let us suppose this number is x.then
quotient × divisor +remainder=363567
813×x+156=363567
813x=363567-156
813x=363411
x=363411/813
x=447
the divisor is 447.

Answer 2

Answer:

Required divisor is 447.

Step-by-step explanation:

Given,on dividing 363567 by a number the quotient and remainder are 813 and 156.

Here we want to find divisor.

We know,

Dividend = Divisor x Quotient + Remainder.

By one example we can understand this concept more easily.

If Divisor =5, Quotient = 25 and Remainder = 2

then according to rule,

dividend

$= 5 \times 25 + 2 \\ = 125 + 2 \\ = 127$

Here given that Quotient = 813 and Remainder = 156 and Dividend = 363567 and let divisor be x.

According to rule,

$x \times 813 + 156 = 363567 \\ 813x + 156 = 363567 \\ 813x = 363567 - 156 \\ 813x = 363411 \\ x = \frac{363411}{813} \\ x = 447$

Therefore divisor is 447.

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