Actually I wouldn't call the mosin nagant a cheap piece of crap. Yes they can be inaccurate... but that gun is hard to break (through some torture tests and abusive use).
They'll pretty much shoot no matter what. They were designed like they were because the Soviet Union's troops were uneducated conscripts, and most of them didn't even know how to read. The gun was made simple because the Soviet Union drafted (did some research a while back... I'll try to get back to you on the citations) most of it's active army. Now, every one of it's capable male citizens has to serve between 2-6 years.
The mosin nagant is one of the simplistic designs because it had to be easy for the conscripts to get the picture about using this gun. Even though a lot of us are trashing on this gun, we probably shouldn't because this gun served in multiple wars, and helped US win world war two and defeat Nazism. Each gun has it's purpose, and the Mosin Nagant fulfilled that purpose profoundly.
Also, keep in mind that the soldiers they were assigned to didn't clean them regularly or relatively shoddy cleaning at best. Not only that, a lot of the ammo used in the rifle was corrosive. Combine that with melting snow on/in a warm barrel and having the bore getting rusty, and eventually pitting.
I have a mosin nagant m44 which I like a lot. It's more accurate than a lot of similar rifles I have shot. My M44 gets (well got, before a dip**** friend of mine dropped it, knocking the rear sight base loose...) about 2.5" to 3.5" groups at 100 yards depending on ammo.
That was a funny story about that friend of mine. We'll just call him Dip.
I asked Dip if he'd like to shoot my rifle. He's shot some before, and I could see that he looked a little sick with heartache with not being able to shoot me Mossie!
He jumped at the chance and I handed him the rifle, extended the bayo so he could be as accurate as possible, and when he pulled the trigger, the noise and the recoil startled him and he dropped it, and sure enough, it hit the corner of the table on the rear sight base knocking it about 20 degrees off to the right. I couldn't be too mad at him, because I picked the rifle up, cycled it, asked if he liked it, which he did, lol. I put the sights on the bullseye, pulled the trigger, and sure enough, the gun was off, but not as bad as I would think... it was 4 inches to the right consistently at 100 yards. I ain't too mad, and a reallignment/silver soldered fix will cost about 40 bucks. I just have to find the time to do it, not to mention bills aren't going to relent anytime soon, lol. Until then, I'm going to have to compensate for being four inches to the right.
