As a professional fingernail muncher, and someone who once (accidentally) sanded half his nail off in 'design and technology' class, all I can say is ya just gotta protect it (particularly from getting caught/rubbed on clothing) and leave it for a few days/months.
Plasters are fun, but those fabricy ones get caught on rough edges and are excruciating to remove.
Also, though it's painful, I'd advise using nail scissors to smoothen out all the rough edges, and pull out the painful bits which hurt to rub. Worth it in the long run...