All good information, but...
Sometimes a f.s. gun doesn't shoot to point of aim. And I mean windage; elevation is pretty much a product of bullet weight and velocity.
I have 2 581's and 1 681. Shooting at 25 yds, one of the 581's always printed 3" left of poa. I tried to adjust my grip, tried different loads, but since I had two other near identical guns as controls, I finally was compelled to conclude that the gun just didn't shoot straight.
My local gunsmith was a S&W service center for many years before they did away with that program, and he attended training at the factory as part of the deal. He's familiar with the lead babbitt method, and as he told me, (paraphrasing), "yes, it can be done, but you don't want to watch."
After some discussion, I decided to send the gun back to Roosevelt Ave., complete with a couple of my targets and a careful explanation of the issue.
It came back with a clocked barrel

and a test target.
(Apparently, the oldtimers with the lead bars have been retired

)
I don't much like the fact that they just turned the barrel in to make the adjustment, but most people wouldn't notice it. A 581 is the epitome of utilitarian guns in my opinion, and now that I can pick it up, sight, shoot and see a hole appear pretty close to where I expect, I am satisfied. It is a shooter and a tool, and I am happy with it now.
I think all the advice and information given is worth looking into, but if you're like me, I *need* to be able to get a sight picture and shoot with a reasonable expectation of accuracy, and I am not going to be happy with having to stop and think about how much Kentucky windage I need at a certain range. Sometimes it is the gun, and not the shooter
