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Explain Euclid Division Lemma.
Euclid's Division Lemma
It states that if there are two positive integers a and b, then there exist unique integers q and r which satisfies the condition a = bq $+$ r where 0 ≤ r < b
This can be understood by the following example:
We know that in any division problem:
Dividend = (Divisor $\times$ Quotient) $+$ Remainder.
For example, if we divide 7 by 3:
Dividend = 7
Divisor = 3
Quotient = 2
Remainder = 1
For the numbers 7 and 3, there exist numbers 2 and 1 such that:
7 = 2 $\times$ 3 $+$ 1 where 0 ≤ 1 < 3
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