Get a box end wrench, put it on one of the upper ring bolts. Rotate 3rd member until wrench is in contact with the top of the diff housing.
Go find an old couch cousin. I live near da hood, so finding one at 7am in the morning is easy and convenient (9pm, not so much).
Place cousin under diff housing. You'll thank me here directly.
Get a crowbar. With the curved side, go under the 3rd member, and pry like hell. It'll pop right out...and onto the cousin. Don't try to catch it. SOB weighs like, a billion lbs (or if you don't lift, bro, then that is what it feels like). You might be able to ease out, but for safety's sake, assume the little turd sucker is going to shoot outta there like he gotta put more money in the parking meter.
Re-installation: procure deadblow hammer and commence to wacking the crap out of it.
Oh, put a piece of tape on the bearing races. They'll come out too. And if they explode all over the place then you won't have any idea which side is which. A piece of tape is easy.
Once removed, the detroit goes in easy. If you have a press, now is the time. Open her up and remove the spiders. Install the detroit. There is a big spring. Compressing that with a press makes life 45873489293x easier.
Lastly, if your axles aren't new, you'll kill one in about 4 years. So I recommend replacing them every 5 years or so (they go early...because old axles).
This is all I know from destroying my Salisbury repeatedly over the past 15 years.
