In a large mixing bowl, sprinkle the flour, teaspoon salt, and teaspoon pepper over top of the venison stew meat. Toss to coat.
Heat the oil in a large nonstick skillet over medium-high heat. Add the venison. Cook for 4 minutes or until browned on all sides, turning frequently.
In the following order, layer: potatoes, carrots, onions, celery, mushrooms, and venison stew meat, tomato paste, oregano, thyme, rosemary, bay leaf, salt, pepper, and sugar (if using).
Pour beer and broth over venison. Cover and cook on low 7 ½ hours or until meat is tender. Discard bay leaf before serving.
