One bug, which presents the error code 0x800f081f during installation, has already seen a patch released on Windows Update; a second patch has been provided for users who are finding that installing Windows 8.1 Update 1 prevents Internet Information Services (IIS), Microsoft's web server package, from being uninstalled at any time.Despite these patches, problems with the update still remain.Windows 8.1 is an update to Windows 8, much in the same way that service packs were updates to previous versions of Windows like Windows 7.
You can do this by executing from the link available in Windows Update in Control Panel.
As, I have always enabled automatic update, this not receiving any update seemed suspicious to me. It just checking for without any result like being in an infinite loop.
But that doesn't make any effect in checking for updates.
As it states on the Windows 8.1 download screen you're looking at now, . Just wait until you see the notice about restarting your PC, as shown next in Step 6.
Note: Downloading the several GB Windows 8.1 update package may take as little as several minutes on a fast connection and if the Windows Store isn't busy, or could take as long as an hour or more on slower connections and if the servers are congested. For Windows 8.1 to continue installing, your computer must be restarted so the upgrade package can access files that aren't normally available to software installations while Windows is running.Important: You may see the above screen sit for a long while, maybe 20 minutes or more.