When you just do a search for broccoli (and other veggies, I assume), it automatically give you the values for it being cooked with butter or other fat.
To solve this, use the "browse foods" tab instead of search, find vegetables; I think broccoli falls under "dark green nonleafy vegetables." Then you can find whatever is most accurate, such as cooked, from raw (or frozen, or whatever), prepared without fat.
This, IMO, is one of the biggest bugs in the FD food list.
However, FD is undergoing a lot of changes and improvements lately, so this could be different in the near future.
"If you drop an egg, you don't say, 'Oh, shoot' and drop the other 11, do you?"
-Source unknown, but obviously brilliant
Reached goal 4/16/2010...but kind of afraid to look these days