How do you activate an iPhone with broken home button iOS 10
You need to activate the accessibility function, Voice Over, on your phone. 


Connect your iPhone, to a computer with iTunes installed. 
In iTunes, select your device. 
From the Summary pane, click Configure
Accessibility in the Options section at the bottom. 
Select the Voice Over and click OK.
Double tap on the Press home to
    open text.


Once you’re pass the activation, you can disable Voice Over. More details on the fix.