I agree with januzgi 100%. The key issues are:
1. Lift - the accuracy of the movement of the body system from static "ready position" to the moving target.
2. Aim - the following of the target using the movement of upper part of the body but keeping the "triangle" system - holding hand-cheek-shoulder firmly fixed with the rifle.
3. Shoot - the timing of the shot which needs simultaneous trigger finger and body movement and actual shot launch when reached the aiming point.
So, if you master those points then it is all about it. The exercises are mainly focusing on those parts before mentioned. Either separately or in conjunction. Either with static or moving targets. Of course basic shooting mental and fitness readiness is a must and could be trained separately.
As said above it is about the repeats like any sports. Master the lift, have a steady hold and control your movements is what a good shooter must maintain. In Finland the thing we have been focusing most on is the hold. We shoot static target quite much to improve the controlling and hold of the gun. It is necessary to get a score of 100 on static target to be able to fire a 100 points on 10 slow runs or fast runs....