I have a plastic coffee can. I shoot a squirt of Dawn Dish Soap in there. And then put in as hot of water as my tap can produce and I can handle. That's pretty hot.
Dip your patch in the water first then start working that in short strokes down the barrel to the breech and then back up. Normally after about four or five patches it is clean.
I then pour very HOT water down through the barrel. This is to rinse out any soap in there. Then pour it all out. After that I soak a patch with isopropyl alcohol and swab the bore again. With the barrel still hot, I dry patch it. After it is dry, then I run a oil patch down the bore and make sure it has a good coat of oil in it. As the barrel cools, it draws in that oil into the metal.