Sorry for this low-quality-help, but I'm quite sure it can be done with PHP. Get site into a variable, then parse (well, you knew that).
I _do_ know who to do it using Visual Basic of course...
Quite simple using the MSInternetTransfer Control (buggy as hell, but what the heck as long as it works).
Code:
Dim WholePage As String
WholePage = MSInetTransfer.Open("http://www.myurl.com")
QuoteOfTheDay = Mid$( ... ) ' Use InStr() to find beginning and end markers...