Step 1
Put potatoes, onion and cubed ham in large stockpot. Cover them with water. Cook them until potatoes are nearly tender.
Step 2
Get one cup of the cooked potatoes and use the back of a fork mash them into a bowl. Put some of the liquid from the pan (about a tablespoon at a time) along with the flour untill you have a thick paste. Add this back to the pot.
Step 3
Put the cheese in a pot. Let the soup simmer until the cheese melts and become thick. Add ground black pepper to taste, then stir in the milk.