I do it this way-
Use a round headed brass machine screw, 22's use about a #10 screw, 30 cal try a #12 or 1/4". Jam a tight oiled patch about 1/2" down the bore from the muzzle.
Get some fine valve lapping or rock polishing compound. It should be carborundum (sp?), and almost a fine as flour. Mine is 'fine' rock polishing stuff, it doesn't have a grit number. Get an eyedropper and a glass of water.
Hold the barrel vertical and fill the crown with compound. Use the eyedropper with water and add water until you get a 'slurry'. The patch should keep the slurry at the crown, you may have to keep adding water with the dropper.
Chuck the threaded part of the screw in a drill, and lightly spin the head of the screw against the crown of the barrel. The end of the screw should be in the slurry. Keep the drill pointing as straight down the barrel as you can. Check the crown every few seconds and note the progress. I think the best cutting action is with a light to moderate pressure on the screw. Keep the screw in the wet slurry when cutting. It may help to turn the rifle a bit everytime when you stop the drill for a more even cut.