Trim fat from steak, cut into 1 inch cubes. Combine flour and pepper; dredge meat in flour mixture, reserving the excess.
Cook meat, 3/4 chopped onion and reserved flour mixture in oil in a Dutch oven over low heat until meat is lightly browned. Add water and next five ingredients. Cover, reduce heat, and simmer 1 1/2 hours. Stir in potato, 1 cup carrot and 1 cup onion; cover and simmer for 20 minutes. Add peas and cook an additional 10 minutes.