With practice it becomes all about muscle memory. You and the rifle just kind of mold together like your fingers on your hand when you hold your hands flat out.
I can't help you with a mnemonic butt start with this.
1) Steady well supported position.
2) Buttstock properly shouldered.
4) Eye/Sight alignment/cheek weld
5) Trigger timing and control.
Shooting off of a bench all of the time kind of makes us lazy, and in the field you never know for sure what position you'll be shooting from when that once in a lifetime opportunity appears so you need to practice from different positions as well.
It's really not that hard. If you consistently mount the rifle in the same manner, and have good discipline on the trigger you can just relax and have fun with it. You will get to where it "just feels right" when it all comes together at which time you'll notice the round is already out of the barrel and lined up for a clean kill before you really even have thought specificall about pulling the trigger.
There's a lot of good info on this thread that might help you as well.
Trigger timing, training, practice