To summarise briefly
Let me run through today's meeting for those who missed it.
To inform or educate someone, typically of a new concept or a concept particular to an organization or industry
To repeat something.
We will run through scene 2 until we get it right.
To use completely, in a short space of time. Usually money.
I ran through my wages in two days. Now I've got to live on next to nothing till Friday!
To go through hastily.
to run through a book
To pervade, of a quality that is characteristic of a group, organisation, or system.
Fear of foreigners runs through that country at all levels of its society.
To impale a person with a blade, usually a sword.
Make just one move, and I'll run you through, sir, without hesitation.
Of a waterway, to flow through an area.
The Seine river runs through Paris.