Alan,
First you take a bench grinder............. just kidding.
How deep are the scratches?
I had purchased a used S&W 66 a number of years back that had some dings in the trigger guard from holster carry. These were deep enough that I lightly filed down the area with the dings until they were virtually gone with a jeweler's file. Then I worked down progressively finer grades of sandpaper to shape somewhat. Then I used a blending pad to finish the job to match the sheen of the rest of the gun's finish. Came out really well.
Stay away from any power type grinding/sanding equipment as it can remove metal too fast. Also be careful not to overly polish the area so it is shinier than the rest of the gun.
A blending pad is basically a scotchbrite type pad that Brownells sells. They are available in a set with like three coarsenesses I think also.
Actually this is why I like stainless because it allows surface repair. Blueing is just a coat of paint.
Just take your time and you should have no trouble getting the scratches out.
If they are really fine scratches, you may be able to get away with using some of the Red polishing compound for autos.
Have Fun,
(Edited by Contender at 5:29 pm on July 9, 2001)