Inspector Javert doesn't really know what to do after letting Jean Valjean go. On the one hand, he had to let him go because the dude saved his life. On the other hand, how can he live with himself now that he has failed to do his job by letting a known criminal go?
Not knowing what to do with himself, Javert goes to the nearest police station and writes out a series of recommendations for the Paris police force to improve its practices and be more efficient. When he's done, he signs his name, goes back into the street, and jumps off a bridge.
Yeah, now you can actually say goodbye to Javert for good.