This article is a stub, since the free WINE 3.6 does not yet support Office 2016. However, Crossover 17 (a cousin of WINE) does support Office 2016, so we expect in coming months so will WINE.
As of Feb. 28, 2017, Office365 no longer includes Office 2013 download
To download Office365 software requires spoofing the browser user agent to make Microsoft think your web browser is a Windows PC. However as noted above, we are waiting for free WINE to support Office 2016.
In the meantime, get your old Office 2013 disk, as that works fine with WINE.