I own and use Ithaca Model 37s, and yes they’re a PIA to strip and clean. Thank God they don’t need it often. Most times a good spraying with solvent, followed with several blasts of compressed air does the trick. Barrel removed, stock up, so the crud can be washed and blown out.
If you just have to take it apart, have fun. There’s not enough words in my vocabulary for me to write the book it would take to explain how to strip it, but you are in luck. Joat is right, Google is your friend, his second link is about all you need to accomplish this feat. Again be careful with the screw heads, they’ll be very tight and can be marred easily. A word of advice, you may have to loosen the screws in the rear of the receiver in order to remove the stock. Enjoy....