To 'run through' can mean 'to quickly pass through somewhere'. So you can 'run through a building' or 'run through a field'. If you 'run through something', it can also mean to read, discuss or repeat something; so you can 'run through the points in a presentation', 'run through the latest news' before a meeting, or 'run through your options before making a decision'. To run through objects, time or resources means to use them up carelessly.

1. After running through the details of what happened to him that morning, Paul apologized for showing up so late.
2. We need to get more washing powder, we've run through the whole box.
3. I'm going to have a coffee and run through the notes from my class today.

1. Before work began, we had a quick meeting to run through the tasks that needed completing that day.
2. The teacher ran through the names of the children in her class to see if everyone was in attendance.