Euclid's division lemma states that if a and b are any two positive integers then there exist unique integers q and r such that -
i) a = bq + r , 0 < r < b ii) a = bq + r , 0 < r < b
iii) a = bq + r , 0 < r < b iv) a = bq + r , 0 < b < r
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a= bq+r , 0 less or equal to r and r less than b
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