verb
distribute
dih-STRIB-yoot/dɪˈstrɪbjuːt/
To apportion something among separate recipients or positions.
A volunteer distributes oranges into three baskets, one for each recipient.

Etymology
Here dis- marks individual allocation, not reversal: combined with assigning or granting, it means dealing out in portions. That image underlies giving or spreading things among separate recipients or places.
In context
give it a shake to distribute the oxygen around the bottle
More examples
- The manager distributes the remaining work among three teams.
- Distribute the seeds evenly across the soil.
- To expand the expression, distribute the factor to every term.
Forms
distribute · distributes · distributed · distributing
distribution noun — The act of giving out or spreading something.