to distribute

from διά and δίδωμι; to give throughout a crowd, i.e. deal out; also to deliver over (as to a successor):--(make) distribute(-ion), divide, give.

from διά and αἱρέομαι; to separate, i.e. distribute:--divide.

from κατά and a derivative of a compound of κλῆρος and δίδωμι; to be a giver of lots to each, i.e. (by implication) to apportion an estate:--divide by lot.