Cut beef into bite-sized pieces, trimming away and discarding any large pieces of fat. Mix together flour, one tablespoon of the thyme, oregano, salt and pepper. Add beef and toss to coat the beef.
Heat oil in a large skillet. Put a portion of the beef in the skillet and brown it on one side. Flip it and brown it on the other side. Remove from skillet. Continue browning beef in the batches and removing it from the skillet, adding additional olive oil as needed.
Add onion to the pan and cook, stirring up brown bits in the pan, adding additional olive oil as needed. When onion is fully cooked, add garlic and stir briefly.
Add remaining thyme, beef broth, tomatoes, wine and the beef. Gently simmer, stirring occasionally until the beef is tender, about two hours. Add rutabaga, carrots and potatoes and simmer until vegetables are cooked.
Add peas and simmer until peas are cooked.