Dredge the steak(s) in flour and sprinkle with salt and pepper.
Melt the butter in the bottom of a Dutch oven or braising pan and brown the steak slowly on both sides.
Combine the green pepper, celery, onions, tomatoes, garlic, Worcestershire Sauce and white sugar in a bowl, stir and add to the meat.
Put the lid on the braising pan/Dutch oven and place in the oven. Bake for 1 to 1 1/2 hours or until the steak is tender and falling apart, stirring occasionally.
Serve over mashed potatoes or noodles with lots of the sauce!
Notes
I used one large top round steak, you can use smaller ones to fill the pan!