The old method, and still about the best is to use boiling hot water to clean the bore.
Just soak patches with water and run them down the bore.
Use water on cloths and toothbrushes to clean residue off the bolt, gas system, and any where else corrosive residue may be.
Some people take a bottle of Windex to the range and give the bore a good squirt to hold it until they can get home.
Truth is, the Windex does no more real good than ordinary water, but some people think the tiny amount of ammonia in the Windex makes cleaning the copper fouling out easier.
Most shooting the 7.62X39 never stop to think that the bullets are usually steel, not copper, and leave no copper fouling.
Corrosive ammo deposits salts wherever the fumes contact, especially in the bore. These salts are hygroscopic and attract moisture from the air.
This causes the metal to rust and pit.
The water dissolves the salts and flush them out.
If you're shooting a bolt rifle, an old trick is to put the muzzle into a pot of boiling hot water, and run a patch up and down the bore.
This pumping action draws water up the bore and does an excellent job of removing the corrosive salts.
Whatever method you use, after using water to clean out and neutralize the salts, then give the rifle a regular cleaning with bore solvent.