I also have a Remington 740 in 30-06. I must agree it is not the "most" accurate rifle I have shot. And not what one would call a 1 MOA rifle. But it is designed to be a hunting rifle and due to it's age does not have all the improvements of some of the modern rifles. But 2 to 2 1/2 inch groups (Zero from the bench) at 100 yards is good enough for deer or other game hunting. Of course a lot of it has to do with selection of quality ammunition for the rifle. Also it is imparative you keep it clean! What caliber is your 740?
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