Cheesy Potato Soup

1/2 c finely chopped onions

2 c chopped potatoes

3/4 c flour

3/4 c butter

1 quart half and half (I prefer to use fat free half and half. I've been wondering.... how is that possible?)

1 c cheese (I use way more)

salt and pepper to taste

Saute the onions until very soft, almost golden brown, add in chopped potatoes and 4 cups of water. Boil until potatoes are soft. Pour into a bowl and set aside. Melt butter, add flour, stiring constantly for a few minutes to eliminate the floury taste. Pour in half and half. Stir until thickened. Add in cheese. When melted add in the onions, potatoes, and whatever water remains. I've been adding regualr milk to thin the soup out a bit.