Borrowed from recguns:
The bolt comes out the rear, after you remove the trigger group. To
remove the trigger group, you have to remove at least one buttplate/pad
screw and get access to the stock bolt. You only need to slack the
stock bolt, not remove it, unless you need to do some stock work, too.
After that, the trigger plate bolt can come out and the works slides to
the rear. Get the carrier out, make sure you keep the screws
segregated as to the side they go in. You can then slip the slide
latch in the bolt carrier to the side and slide the works out the back.
The shell latches can be pulled then and cleaned under, it's amazing
how much crap builds up under there. Don't lose the spring under the
one. Remove the barrel yoke screw up front and then the yoke to get
the slide off. For a neglected gun, you'll need to thoroughly mop out
the magazine tube and the slide tube, lightly oil the slide tube
inside. It doesn't hurt to soak the magazine spring in a tub of
penetrant, either, old ones tend to get rusty, particularly if they've
been used on ducks. If it's really bad, get a new one. Don't try to
take the trigger group apart, hose it out as best you can, there'll be
years of crud built up on it. Worst one I worked on actually had shot
embedded in the guts from leaky loads, still worked, though. Used a
dental pick on that one. Once the thing is down to receiver and
magazine tube, I like to put the receiver in an ultrasonic cleaner to
vibrate the decades of crud out. Otherwise, it's carefully whittled
popsicle sticks and brake cleaner to clean all the cracks and crevices.
After you get it cleaned up, you can decide whether to do any
refinishing or touchup on the bluing. The oldest 37 I have was made in
1938, I stripped it down for cleaning when I first got it, did some
Oxpho Blue touch up on the worn spots and it looks pretty good now.