1. To travel across to some person or thing very quickly, as by running, while bringing something along with one. My neighbor asked me to run over with a cup of sugar for her cake. I ran over with the documents Thomas needed for the meeting.

2. To study, examine, or reread something with another person, especially in a quick or cursory manner. In this usage, a noun or pronoun is used between "over" and "with." I ran over the contract with my lawyer to see make sure everything looked all right. Do you mind if I run over these lines with you? There are a couple of parts I'm having trouble remembering.

3. To hit or drive over someone or something with a vehicle, typically an automobile. In this usage, a noun or pronoun is used before or after "over." The man ran several people over with the van before police managed to subdue him. A drunk driver ran over my dog with her truck this morning.