Mathematics Elementary Number Theory Euclid’s Division Lemma

For any positive integers 'a' and 3, there exist unique integers 'q' and 'r' such that a = 3q + r, where r must satisfy:

1
1 < r < 3
2
0 < r < 3
3
0 ≤  r < 3
4
0 < r ≤ 3

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