If there are, say, 5 cookies and 2 people, the problem is in "evenly distribute". In any integer partition of 5 things into 2 parts, either one of the parts of the partition will have more elements than the other, or there will be a remainder (written as = 2 r1). Or, the problem with 5 cookies and 2 people can be solved by cutting one cookie in half, which introduces the idea of fractions ( = 2). The problem with 5 cookies and 0 people, on the other hand, cannot be solved in any way that preserves the meaning of "divides".