After you have cooked your meal and your pot is all brown and crazy looking at the bottom, you have two options. You can make a yummy sauce by doing something that is called deglazing. Where you add some stock or wine, turn up the heat and then use a wooden spatula or spoon to scrape up the brown bits at the bottom. You can add some arrowroot flour or all purpose gluten free flour to thicken it up if you want too.
But if you are not making a sauce and just want to straight up clean up your pot, then just add water, turn up the heat and scrap away. Dump your gunky water once to see what is left and repeat the process till your pot is clean!