Question

If a=bq+r where a=75, b=8 then q,r respectively --

Answer 1

Given : a=bq+r where a=75, b=8

To Find : q,r

Solution:

Euclid's Division Lemma states that,

if two positive integers “a” and “b”,

then there exists unique integers “q” and “r”

such that which satisfies the condition

a = bq + r  where 0 ≤ r <  b.

a=bq+r

a= Dividend,

b= Divisor,

q= quotient

r = remainder

a = bq + r

a = 75

b = 8

75 = 8 * 9  + 3  

a   = bq  + r

=> q = 9  

   r = 3

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