A very important step missing:
1.5- Secure rifle upside down before cleaning the barrel. This minimizes solutions from entering the gas cyclinder. {This goes for the M1 Garand as well.}
Notes:
a) Always use a single piece, coated cleaning rod like the Dewey.
b) Never, ever, ever, clean the barrel from the chamber through to the muzzle. Doing so will wear the crown of the barrel and cause poor accuracy.
c) Always use a bore guide at the muzzle end. Dewey and others make a guide that fits the flash suppressor. If you are from CA and have the brake, you will have to machine one as the diameter is larger (so as not to be classified as a grenade launcher). If you know of one that fits brakes, speak up.
d) Always use grease, not oil, for the action areas such as bolt roller, oprod channel, and hammer/bolt contact areas. If you clean these areas with a cleaner or CLP, you should regrease. Most people use plastilube, lubriplate, or tetra grease.