apportion

verb2

1. •
   To divide and distribute portions of a whole.

   • The controlling party had apportioned the voting districts such that their party would be favored in the next election.
2. •
   Specifically, to do so in a fair and equitable manner; to allocate proportionally.

   • The children were required to dump all of their Halloween candy on the table so that their parents could apportion it among them.