You love a song enough that you wouldn't mind hearing it a few hundred times while making a remix. Start by getting a clear idea of what your goals are for the remix. As much as you like the original, don't lose sight that this is your remix, not just the original with a few extra drums mixed in. If you can find a good quality instrumental version of the song, you can use it to isolate the vocals through phase cancellation. What you do from there is up to you - let your creativity shine!
You can read more remixing tips here: http://dubstepproductiontips.blogspot.ru/2012/12/remixing-six-tips-you-wont-want-to-miss.html