apportion
ap·por·tion
/əˈpoɚʃən/ verb , -tions, -tioned, -tion·ing [ + obj ]
formal : to divide (something) among or between people
The proceeds from the auction will be apportioned among the descendents.
Apportion the expenses between the parties involved.
: to give (a part of something) to a number of people
The agency apportions water from the lake to residents.
Any attempt to apportion blame [=to say who should be blamed] so many years after the incident is pointless.
ap·por·tion·ment /əˈpoɚʃənmənt/ noun , pl -ments [ noncount ]
The apportionment of the expenses will take some time.
[ count ]
an apportionment of blame