There are a lot of Beef Noodle Soup recipes that will result in a pretty decent bowl of soup. But if you want to rise above all the others and create a truly superior dish, you will need to pay special attention to two things.
The broth. The meat.
Prepare the meat as described in the comments above.
Prepare the noodles by boiling them in water for about 5 minutes. Then drain.
Add the beef broth (you may with to strain it) to a large pot, along with the celery, beef and noodles.
You can either cut the carrots into small pieces and add them, or you can use a potato peeler to make finer fragments of carrots in the soup.
Simmer for at least 30 minutes.
At this point, especially if you used an ox tail for your broth, you should not need any additional flavoring. But if you do need more flavor, use one or several of the following: salt, pepper, Worcestershire sauce, beef bullion, onion, garlic, parsley, or thyme.