Place enough oil in a pan to just coat the bottom, put that over medium heat while you prepare your steak.
In a bowl, place 1 cup flour, add 1/4 teaspoon salt and 1/ 4 teaspoon pepper (more if you prefer). Stir that up. Dip each piece of steak into flour on both sides to get it coated well.
Place each piece of steak in heated pan and cook until good and browned on both sides. Remove steak to a plate while you make your gravy.
Place about 1/4 cup flour into skillet with meat drippings. Add a little more salt and pepper and stir this over medium heat until the flour is slightly browned (just a few minutes). Slowly pour in 1+1/2 Cups of milk, stirring constantly. Continue stirring, with a wire whisk to help with lumps, over the lowest heat setting until thickened and there are no lumps. This will happen rather quickly. Add a little more milk if you prefer thinner gravy. Return steak to the pan and turn to coat with gravy on both sides.
Serve steak and gravy together in a bowl or serve gravy on the side to go with Mashed potatoes.