Mosey on over, enter an email address and some other basic info, and anxiously wait out the next month until a winner is drawn. It very well could be you.
You can only register under one email (multiple email registrations is a no-no and will result in disqualification), but share the contest on Twitter and get additional entries for your trouble. Less than five minutes seems like a decent tradeoff for a chance to get your Samsung Galaxy Tab S 8.4, right? May the odds be ever in your favor.