I did the same thing with an old 1916 dog-eared Mauser that had been rechambered to 7.62 Nato/.308 Winchester. No taper on the barrel made it a snap to slip thru the headstock on a lathe. I parted/faced about a half-inch
of the muzzle...Stuck a 60 degree countersink in the tailstock and cut about a
16th inch into the muzzle. Lightly cleaned up the burrs with a little-bitty
triangular Swiss file. Bedded the action and about an inch of the barrel forward of the action. Stuck a 2X Burris LER scope in a home made
mount in the rear sight rails...and the rifle would shoot into an inch point five
with the right handload. You may need to face off the barrel shoulder and re-cut the chamber for safe headspace. Mine didn't...but it barely made it.
I fire-formed the brass and sized it so that the case shoulder wouldn't set back...just barely kissed the shoulder in a FL die. Made a big difference in accuracy over the standard-dimension case.