At my best (several years ago) I could hit 3 of 5, 10 oz pop cans at 80 yds (rapid fire) with my Rem 742 in 30-06 and open sights.
Once I sighted in my rifle from the bags, I stopped shooting at conventional targets and concentric circles.
I would start with a target sized piece of paper (or a target turned over), and start from an "at rest" position. I would throw the rifle to my shoulder and fire as soon as my sights crossed the paper. After a lot of practice, I would get so I could consistently hit the paper.
I'd then switch to sheets of 8 1/2 X 11 paper and fine tune my shooting 'till I was consistently hitting the smaller sheet.
Later, I would put 3 or 4 pieces of paper on my backstop, and practice "follow-up" shots, rapid firing after my initial shot.
Once I could successfully do this, I would "team up" with another shooter and put up a half dozen or so sheets at different heights. We would agree on a "number" for each target, and one of us would call out a number sequence and the other would shoot at those targets.
In subsequent years, I would short cut this process when I could. During this period I became an excellent off-hand snap shooter on deer and moose.