If a shooter doesn't want to do a permanent buttstock recoil pad replacement that IMO destroys both the original look and many times the value of a long gun and want something to really tame down recoil, check out Limbsaver (brand) of slip-on recoil pads. I have two Remington Model 81's in 300 Savage and they can be a kicker, esp in warmer weather without a heavy coat to dampen recoil. A shooter on the Remington 8/81 forum suggested these to me around 3 years ago and they are magic.
They come in either the 'Air-Tec' or the 'Classic' model (black or brown) and sell for around $32-35 in most places I've seen them (Fleet Farm, Cabela's and others), also available from on-line outfits like MidwayUSA. The one's I have are the Air-Tec which is supposed to cut recoil by up to 70%, the Classic is rated at 50%. I've checked both out (eyeballed) and the Air-Tec seems to be made a bit more engineered. Easy to slip on and off, but they have a tight fit and not sloppy if ya get the size to match your stock. I bought a large and a medium and tried both, the large on my rifles was a little loose, took it back and exchanged for another medium. They're nice lookin on the gun vs some I've seem that look like a cheap add-on and can be taken off to preserve the original lines of the gun.
I shoot alot of military surplus rifles shooting both cast and FMJ bullets and some of those can have a kick to them. The Limbsaver pads really made them more enjoyable shooting. FWIW, the medium size of the Air-Tec model fit the Remington 81's and all of the MILSURP rifles from four countries (which includes the M1 Garand and the biggest kicker I've ever seen the Russian Mosin-Nagant). Yep, they're an add-on, but when yer out in the bush hunting or shooting at a private or public range, who cares, they're effective. I bought the two so when shooting at my range or wherever, I don't have to change from one gun to another as much if shooting more than one rifle. FWIW, I have no connection with Limbsaver, it's just a real effective high quality product.