I downloaded the ISO file of Microsoft Visual Studio 2013 Ultimate on the Microsoft MSDN website. I could install it on my home PC running Windows 8.1 without problems. However
The web installer keeps crashing for me. The event log reported that the crash occurred in my graphics drivers (Intel HD Graphics). I am unable to update my graphics drivers, so that forced me to seek other means.
What solved it for me, was downloading the full ISO file for Visual Studio 2013, and installing using that. It seems it is either a separate build, or it doesn't touch the same execution-paths as the web installer.