run through

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.”