Chicken & Broccoli Chowder

This was super fast to make, but the first time I cut the recipe in half because I didn't think we'd like it. WRONG! So, this recipe is actually doubled from the original!

3 T butter
2 chicken breasts, cubed
2 onions, chopped
3 T flour
2 cans chicken broth
2 cans beef broth
3 c milk
2 pkg frozen broccoli
3 c cheddar cheese, shredded
1/2 t pepper

1. Melt butter in large Dutch oven until foaming subsides
2. Cook chicken & onion in butter 10 minutes
3. Stir in broth & milk
4. Bring to a boil, then simmer 10 minutes
5. Stir in broccoli & simmer another 10 minutes
6. Add in 2 cups of cheese & the pepper
7. Stir until cheese melts
8. Serve with remaining cheese