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Question
State Euclid's division lemma.
Solution
Euclid’s Division Lemma:
Let a and b be any two positive integers.
Then, there exist unique integers q and r such that
`a=bq+r, 0 ≤ r < b`
If `b|a` then `r=0`.
Otherwise, r satisfies the stronger inequality`0 < r<b.`
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