Question

What is the condition for remainder satisfying a=bq+r​

Answer 1

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here is your answer

a=bq+r

$b \geqslant 0 \geqslant r$

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Answer 2

let (a) be an postive integer where q and r be quotient and remainder be respectively.

According to Euclid division lemma

[a=bq+r] where 0_<r<b