Processes in Microsoft 365 for setting up Office apps, redeeming product keys, and activating licenses.
Hi Thomas,
Let us refer to the steps in the following article and check if it helps.
http://support.microsoft.com/kb/2809219/en-us
If issue persists, run the Fix it from the following article to remove all traces of the Office on the system.
http://support.microsoft.com/kb/2739501
Note: Ensure to save the Fix it on the desktop and then run the file.
Once the Fix it completes then you may install Office 2013 and verify the results.
Follow the steps and let us know if that helps. If the issue persists, reply and we will be happy to help you.
Thank you