First, prepare you fire and have a nice bed of hot coals to ensure plenty of heat to cook.
Before assembling in the soup pot (or in the Dutch oven) brown the beef stew meat in a tablespoon of oil.
Add the browned meat and plenty of water to the soup pot. Add the seasonings, onion, garlic, and celery.
Place pot over the fire. It will begin boiling shortly.
Keep a close eye on the pot, not letting the water boil out, but also keeping a constant simmer.
After several hours of cooking the meat, add in the other veggies.
Cook for an hour or two more, or until the veggies are soft and ready to eat.