Apportion (verb)

1. Divide and distribute (something) among a number of recipients.
2. Assign (a share or portion) to someone.

Origin:

Late 16th century: from latin apportionare, from ad- "to" + portionare "divide into portions".

Examples:

1. The committee apportioned the funds among the different departments.
2. The votes were apportioned according to the population of each state.
3. The inheritance was apportioned among the children.
4. The company apportioned the profits among the shareholders.
5. The government apportioned the responsibility for the crisis among several agencies.