Begin with the preparation of the steak: Beat the milk with the eggs in a small bowl and set aside. Mix the flour with a pinch of paprika and season with salt and pepper.
Work with one piece of meat at a time. Season both sides with salt and black pepper, then place it in the flour mixture. Coat with the flour then place into the egg-milk mixture. Finally, place it back in the flour and turn to coat. Place the coated meat on a clean plate, then repeat with the remaining meat.
Heat the oil in a large skillet over medium heat then fry the meat in batches, until the edges start to look golden brown, about 2 minutes on each side. Transfer the meat to a paper towel and repeat until all the meat is cooked.
Heat another skillet and melt the butter. Sprinkle the flour evenly over the melted butter and mix the flour with the butter, creating a golden-brown paste.