Cheeseburger Soup

I tried this soup out recently just for kicks and it is actually very good!

1/2 lb ground beef
5 Tbsp butter, divided
3/4 cup chopped onion
3/4 cup shredded carrots
3/4 cup chopped celery
1 tsp dried basil
2 cans (14.5 oz each) chicken broth
4 cups (3 medium) potatoes, peeled and diced
1/4 cup flour
2 cups Velveeta, cubed
1 can (12 oz) evaporated milk
1/2 tsp salt
1/2 tsp black pepper

Cook ground beef in large saucepan over medium heat until brown; drain and set ground beef aside. Melt 2 tablespoons butter in same saucepan over medium heat. Add onion, carrots, celery and basil; cook, stirring occasionally, for about 15 minutes or until tender. Add broth, potatoes and cooked beef; bring to a boil. Reduce heat to low; cover. Cook, stirring occasionally, for 15 minutes or until potatoes are tender.

Melt remaining butter in small saucepan over medium heat. Add flour; cook, stirring constantly, for 3 to 5 minutes or until bubbly. Add to soup; bring to a boil. Cook, stirring occasionally, for 5 minutes. Reduce heat to low; add cheese, milk, salt and pepper. Stir until cheese is melted.