Marty N.-
The deck skin is the same but I believe the spindles are slightly different. For sure the center pulley is for a 5/8" belt on the 582. If you have the original deck and it has good spindles then you'll be fine. Also, the QA hardware on the deck may be slightly different, I can't remember if that was changed or not. Again, you'd be able to use that hardware from your old deck if you have one.