Question

Euclid's Division Lemma says a = bq + r , where
$0 \leqslant r < b$
please prove it

Answer 1

hey mate....

lema is a proven statement which is used to prove another statement .

so there is no need to prove this statement .

we can write it simply as:
dividend=divisor x quotient + remainder

taking value and you will get your answer ..

let a= 5 and b=11
then q=2 and r=1
here r less than q .
hope this will help you

Answer 2

let a=9

and b=2

on dividing 9by 2

we get 9=2*4+1

i.e,a=bq+r

where a is dividend

b is divisor ,q is quotient and r is remainder but 0=r or 0<r and r<b