On my first elk hunt, almost 60 years ago, I was hunting with one of my college roommates and using a borrowed rifle, a sporterized .30-40 Krag with iron sights. Opening morning, I spotted a group of elk with a 5x5 bull in the valley below us the ridge that we were on.
I told my roommate that I was going to try to get closer to them, and I hadn't gone 5 steps when my roommate shot at them. So sat down and, not knowing what I was doing, tried a head shot on that bull. I was so far away that the bead of the front sight completely covered that elk.
Finally, and after 13 shots and a mile or so of chasing him, I killed him. His antlers had 3 bullet hits and there were 2 bulllet creases in his hair on the top of his back.
After that hunt I bought my first centerfire rifle, a Herter's .30-06 with a scope, and every elk that I've killed with a rifle since then, I shot at under 300 yards, and most at less than 200 yards, including the ones that I shot with my .300 Wby.
Since that first elk, I've probably shot a couple of hundred big game animals all over the world, and I think that I can count on one hand the number of big game animals that I have shot at over 300 yards.