Preheat your oven to 375°F/190°C and lightly grease a 9×13” casserole dish. In a large skillet, heat the olive oil over medium heat. Add the ground beef to the skillet, along with the onion and garlic.
Cook until the beef is no longer pink, breaking it up into small pieces as it cooks. Once done, drain off any excess fat. Season with salt, pepper, and smoked paprika, and cook for one more minute. Remove from heat, and set aside.
Place a third of the thinly sliced potatoes at the bottom of the casserole dish, and spread half of the cooked ground beef over the potatoes. Sprinkle with ½ cup of cheddar cheese. Repeat another layer of potatoes, beef, and ½ cup of cheese.