Preheat your oven to 180 C. Grease a 9x13 baking dish with butter.
In a large skillet brown the ground beef, drain fat, and set aside.
While the beef is cooking, slice the potatoes thin, a mandolin would be the perfect tool for this.
In a bowl, mix together the soup, milk, and salt and pepper to taste.
Once the beef is cooked and everything else prepped, assemble the casserole. First, place 1/2 of the potatoes in the baking dish, then spread out 1/2 the beef, then 1/2 of the soup mixture, then 1/2 the cheese. Repeat these layers using the remain potatoes, beef, soup, and cheese.
Cover with foil and bake for 1 hour. Remove the foil and bake another 30 minutes or until the potatoes are fork tender. Allow the casserole to cool for 10 minutes, then cut, serve, and enjoy.