For the Patties:

1. 1. In a large bowl, combine ground beef, breadcrumbs, egg, Worcestershire sauce, salt, and pepper. Mix until just combined; do not overmix.
2. 2. Form the mixture into four equal patties.

For the Gravy:

1. 3. Heat a skillet over medium-high heat and add oil. Once hot, sear each patty for about five minutes per side until browned but not fully cooked through. Remove patties from skillet and set aside.
2. 4. In the same skillet, melt butter over medium heat. Add chopped onions and sauté until translucent, about three minutes.
3. 5. Sprinkle flour into the pan with onions and stir constantly for about two minutes until golden brown.
4. 6. Gradually whisk in beef broth while stirring to keep the mixture smooth.
5. Combine:
6. 7. Return patties to the skillet with gravy and simmer on low heat for another ten minutes until cooked through.
7. Serve:
8. 8. Plate the hamburger steaks and generously drizzle with gravy. Pair with mashed potatoes or rice for a complete meal.