There are various damage meters (most reliable one I know of is ACT - Advanced Combat Tracker) for XIV that will happily show you results without having to resort to patience, an abacus and a stopwatch. Damage dealt, health restored, how much a certain skill contributed to your output, you can see it all.

That said, it's... controversial. You won't get punished for just using it, but I've heard that people tend to get bans if they use the results to harass (what constitutes harassment is a player judgment, I suppose) players.