Step 1

In large pot or dutch oven, cook butter and onions, until onions are transluscent. Add in garlic and cook for one minute.

Step 2

Sprinkle flour over the onions and cook for 2 minutes.

Step 3

Slowly whisk in the broth and 1 tsp salt and 1/2 tsp pepper.

Step 4

Bring to a boil and boil for 5 minutes.

Step 5

Add milk, potatoes, broccoli, and ham. Bring to a boil, stirring often.

Step 6

Reduce heat to medium, and simmer for 15-20 minutes, until potaotes and broccoli are tender.

Step 7

Slowly whisk in cheese and stir until melted.

Step 8

Serve with a sprinkle of cheese on top.