Here’s a link I found incredibly useful today, so I decided to share it.
A little background: My main work notebook came with a trial version of Office 2010 that I never uninstalled. I installed Office 2010 Pro Plus, and then later I installed the Preview version of Office 365 Small Business Premium.
Amazingly, everything seemed to work just fine. But today I wanted to clean up all the gunk in preparation for the coming release of the final versions of the Office 365 Small Business and Enterprise products.
To start, I did exactly what you probably would do: visit Control Panel, click Programs and Features, choose the various Office entries, and uninstall them one at a time. It all seemed to go well, but after restarting I discovered that Windows Update was prompting me to install the Office 2010 Service Pack and several updates for individual apps.
Hmmm, that doesn’t seem right.
Although Control Panel no longer had any Office-related entries, the prompts for updates wouldn’t go away.
So I visited this page:
How to uninstall or remove Microsoft Office 2010 suites
If you find yourself in a similar situation, one of the tools here is almost certain to help you. The second item on the list is a Fix It tool you can download and run. That one didn’t work for me. But the third option on the list, the Office 2010 Program and Uninstall Troubleshooter, did the trick. After running it, I went back to Windows Update, clicked Check For Updates, and watched with pleasure as the Office updates vanished from the list.
This shouldn’t be something you need to use often. My situation, with two released versions and a beta, is (I hope) unusual. But it’s good to know the option is there.
Note that this page includes links to similar uninstallers for Office 2007, Office 2003, Office for Mac 2011, and Office for Mac 2008. I’m sure the “How to uninstall Office 2013” article is just around the corner.
And here it is: Uninstall Microsoft Office 2013 or Office 365
Ed Bott (@ wordpress.com) 
I qualified for the free Office 2010 to Office 2013 upgrade. When Microsoft (download) installed the latter, it didn’t remove the former. I decided to go with the flow, and leave the former installed as an emergency backup.
I never did really like the pre-install Office 2010 idea that Microsoft used (uses?) for such a long time. A link is OK, but pre-installs are often a pain-in-the-*** I like and use Office 2010, but the pre-install just seems so wrong IMHO. One of the many reasons I start most new machines with a wipe and re-install of Windows from a clean slate.
Ed, I went through the same steps when I decided to remove 32-bit Office 2010, and go to 64-bit Office 2013. Like you, it was the 3rd step, the troubleshooter, that finally got rid of the prompts to uninstall earlier Office products. Worked like a charm.