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When you divide a number by five, the possible remainders are 0, 1, 2, 3, or 4. This is because any integer can be expressed in the form of 5n + r, where n is the quotient and r is the remainder. Since the remainder must be less than the divisor (5 in this case), those are the only outcomes possible. For example, dividing 12 by 5 yields a remainder of 2.

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