Place the hamburger in a large skillet with high sides (mine is 10 inches in diameter and about 3 inches deep), over fairly high heat. There's no need to add oil, and you can start with the skillet cold. Use a heat proof spatula to break up the meat, and move it around from time to time until it's browned. It doesn't have to be completely cooked at this stage, as it will continue to cook.
About the hamburger ... I've learned that not all lean ground beef is the same. When I buy it from my favourite market it's not necessary to drain off any fat. I recently made this with hamburger from a different source, and it definitely was too fatty. Use your judgment!
A tip: buy tubes of tomato paste (yes, like toothpaste!). You can squeeze out the amount you need, recap and pop into the fridge until next time. I mean really, who ever uses up leftovers from those little cans?
Hamburger, Potato & Tomato Skillet Dinner https://urbancottagelife.com/hamburger-potato-tomato-skillet-dinner/