If you take four consecutive numbers, for example, 27, 28, 29, and 30, then 27/3 = 9, 28/3 = 9 remainder 1, 29/3 = 9 remainder 2, 30/3 = 10.
Therefore, the greatest remainder you can get when dividing by 3 is 2.
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If you're dividing a whole number by 2, then the greatest possible remainder is 1.