If I have 6 apples and I hand them out among 3 people, each person has 2 apples. All the people together have 6 apples, and I have none.

If I have 6 apples and I hand them out among 12 people, each person has 1/2 apples. All together, they have 6 apples, and I have none.

If I have 6 apples and I try to “hand them out” among 0 people, I have nobody to give any apples. I still have all 6 apples, and “all” the “other people” have none. All together, they have 0 apples, and I still have 6.

Since I can’t “hand them out”, I can’t divide them. That “division” is impossible to perform.