I've managed to go about 4 years or so without crushing one of my fingers. The last time was pretty bad: a group of friends were piling into a minibus/large taxi to go to a gig, and my girlfriend decided to slam the sliding door shut onto my hand. It was pretty unpleasant.
The nail blackened just like yours, but didn't pop off immediately. For a month or so it sort of dried out and went yellow, then one day it peeled off to reveal a healthy new one underneath.