jefmcg
Guru
Aside from checking for injury and need for emergency assistance I work on the 'say nothing about the incident and just exchange details' path and let the insurer work it out.
Two driving incidents when I was much younger.
Ran into the back of a car stopped at a red light. Yeah, I know. Me "I am not admitting fault, but the facts of what happened are [stated facts]" The damage was small, but it was his dad's car so he took my details. I never heard from them. I did damage their car, my assumption was that my stepping up contributed to their decision not to pursue it.
Bumped a neighbours car while parking and broke an indicator cover. Left a note with my house number on it. We never met - just dropped things in each others letter boxes. He drove to a wreckers yard, got a second hand part and I got a bill for $4 (~£2!). No reasonable expenses, or professional repair. He got his money promptly and a big box of chocolates. I got a feeling of good will that's stayed with me a long time.