This might be very unconvential, but what we do is a five-step approach:
1) Use Badger Dead Air level to get the scope in the mount and make sure it is optimized from a level stand point
2) Attach the mount or rings, and apply just under the recommended torque. Just enough that the rings or mount does not move. Probably 10 ft-lbs.
3) Use an inexpensive bore sight laser. The type that comes in the shape of an actual round, made of brass, and insert into the chamber an apply bolt pressure. At a short distance, in the dark, maybe in your baseement, get the laser on at the dot, and 1-1/2" below or so (based upon your scope height)
4) Use a more professional bore sight that you insert into the bore, and try again, now at 50 to 100 yards, and see how much adjustment you need. Generlly, we find we need a little, but not much.
Steps 3 and 4 get your scope to where it needs to be for precision sighting.
5) Fire 5 rounds just for fun, and to warm the barrel and get the bolt used to the barrel, etc. Now, shoot on paper at 100 to 200 years, and do a proper zero. Everyone has their own method. I like shooting 3 to 5 rounds, check the zero, and adjust, and repeat twice. Other people have their method. Finally, when happy, tighten down to 15 ft-lbs, or what is recommended by manufacturer.
What i find is that with this step by step process, you spend less time on the range getting to zero, and you also diagnose early any defects with the scope.