Using 50+ year old eyes and iron sights on a 1939 Tula MN 1891/30, I got 10 shot groups of between 2 to 3 inches at 100 yards from a rest using the Winchester hunting ammo (not the FMJ). I did this to acquire reloadable brass (4 boxes worth) prior to buying a bunch of Graf & Sons unprimed brass. I use to call it a "less than minute of fist" rifle at 100 yards.
I later bought a Lyman thing that fits on my glasses and in bright sunlight that allows for better focus and that dropped my groups by about 1/2 inch or so. to about 2 to 2.5 inch groups at 100 yards.
I have been impressed that once an MN1891/30 has had the front sight adjusted upward so you can zero it at 100 yards with a 6:00 o'clock hold, that it is a pretty impressive hunting rifle for the price.
Reloading for the 7.62x54R cartridge has also been eye opening. If you reload and look for .303 British Bullets, you can find enough variation in bullet weights and jacketing that the round can used to do just about anything that a .308 Winchester will do as far as hunting.
In my book the MN 1891/30 rifle is one heck of a bargin as long as you don't need to try to modify it too much. If you want a custom stock, a fancy scope mount, a special trigger, a bent bolt, etc. I would start with something else, like a used like a Mauser, Enfield, or Springfield, as you find a lot more optional equipment and lower prices for the options.
My Winchester Model 70 30-06 scoped featherweight, my scoped Marlin 30-30 Model 336, and my peep sighted Arisaka Type 99 that was customized by the previous owner are more accurate, but they all cost me a lot more than $79.