I keep a detailed record of not only round count, but ammo type and brand, failures, cleaning record etc. I may be OCD. Here is a sample from one of my sheets, I keep a separate sheet for each firearm.
Oct 3, 2014 - Silverdale
89 Remington UMC 0 FTF, 0 FTE, 0 FTC (dropped 1 round)
20 Federal Alum 0 FTF, 0 FTE, 0 FTC
Full Clean CLP & Oiled.
Oct 9, 2014 - Silverdale
50 CCI Blazer Brass 0 FTF, 0 FTE, 0 FTC
50 Federal Alum 0 FTF, 0 FTE, 0 FTC
Boresnake cleaned, CLP