Question

Divide 53968 by 267 and check the result by division algorithm

Answer 1

DIVISION ALGORITHM : For any two positive Integers a & b ,there exist two unique whole numbers q & r , such that
a = bq+r
Here,a = Dividend, b= Divisor, q= quotient, r = remainder

It can be written as :
Dividend =( Divisor × quotient) + remainder

SOLUTION :

Divide 53968 by 267

267)53968(202
534
---------
568
534
----------
34
Here, Dividend = 53968 , Divisor = 267, quotient = 202 , remainder = 34

Dividend =( Divisor × quotient) + remainder
53968 = (267× 202) + 34
53968 = 53934 + 34
53968 = 53968

Hence, verified.