Not knowing this cost me 2 extra hours of taking apart the iPhone and putting it together again repeatedly (thinking that either I had broken it, or the new screen was defective) before I stumbled on that information in a forum.
The good news is, if you've replaced the screen on an iPhone 5 before, the iPhone 5s isn't too much different. So if you're not covered by AppleCare, follow along and we'll get your iPhone 5s looking brand new again in no time!
DIY: Repair your iPhone. Fix a broken iPhone 7 or 7 Plus.