Question

Can a be bigger than b in a=bq+r​

Answer 1

Sometimes yes and sometimes no

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Answer 2

Yes, sure.

PROOF:

according to Euclid's division lemma

dividend = divisor × quotient + remainder

i.e. a = bq+r

where, a > b (i.e. dividend > divisor)

e.g. 1) when remainder is zero

12 = 4 × 3 + 0

12 > 4

2) when remainder is non-zero

23 = 2 × 11 + 1

23 > 2.