Follow through: you can learn a lot from what happens after the sear breaks. Little things that you can learn for free if you pay attention that will most who do not dry fire will never experience.
Your eyes look through the rear sight like a window and are focused on the front sight when the sear breaks, although you focus your eyes on the target and rear sight while defining your sight alignment, the front sight should be most distinct when the hammer falls. Follow through is what happens next, immediately after the hammer breaks you want to continue the pressure on the trigger for at least one second two or more is better.
Many start the next shot before the sear breaks, follow through prevents this. The old game of placing a dime flat on the front sight is a good one. If you master the dime game you will still have a dime on the front sight after 5 dry fires, even when cocking the hand gun. I believe the old silver dimes balanced better, the use of glue or clay or putty is known as cheating.
Each time the sear breaks you should be able to call where they were aligned when it went click.
Follow through must be practiced when you are practicing for real:
You should know exactly how the sights were aligned when the sear broke. Pay attention to how the handgun recoils away from the target, when you are doing it right the front sight will raise to the same place, in the same ark each and every time.
Some describe squeezing the trigger until it surprise you, I do not describe it that way. My goal is to know exactly when the sear will break and have everything absolutely perfect when this happens.
This afternoon I was shooting a new pistol, I shot 50 rounds at 88 yards.
Out of those 50 rounds I had three accidental discharges, all three hit the target, just fired before I was absolutely ready.
You will never achieve perfection, this thread only discusses a small part, but the big skills are mentioned. There is a lot to learn but this is why so many of us pursue the sport, or art.