there is definitely still something left ...
probably you did that already as I have read it
try this please:
(sorry but this 2 sites are in german-please take a translation-site like google translation or so...)
https://support.office.com/de-de/article/Deinstallieren-von-Office-auf-einem-PC-9dd49b83-264a-477a-8fcc-2fdf5dbf61d8?ui=de-DE&rs=de-DE&ad=DE
or this
https://support.microsoft.com/de-ch/help/2739501/how-to-uninstall-office-2013-or-office-365
%ProgramFiles%\Microsoft Office
or for 64 bit
%ProgramFiles(x86)%\Microsoft Office
MSOCache
%appdata%\microsoft\templates
--> delete this files "Normal.dotm" und "Welcome by Word.dotx" (i dont know how exactly this files calls in english)
%appdata%\microsoft\document building blocks
delete this file "Building blocks.dotx"
delete the registry subkeys for the office system
▪ HKEY_LOCAL_MACHINE\SOFTWARE\Microsoft\Office\ClickToRun
HKEY_LOCAL_MACHINE\SOFTWARE\Microsoft\AppVISV
HKEY_LOCAL_MACHINE\SOFTWARE\Microsoft\Windows\CurrentVersion\Uninstall\Microsoft Office – de-de according to version and speech.
HKEY_CURRENT_USER\Software\Microsoft\Office
or download the uninstall tool by Option 2
ps:
for office 2010 i found this:
▪ HKEY_LOCAL_MACHINE\SOFTWARE\Microsoft\Office (14.0=Office 2010)
▪ HKEY_LOCAL_MACHINE\SOFTWARE\Microsoft\OfficeSoftwareProtectionPlatform
▪ HKEY_CURRENT_USER\SOFTWARE\Microsoft\Office
▪ HKEY_CURRENT_USER\SOFTWARE\Microsoft\Shared Tools
C:\Program Files (x86)\Common Files\Microsoft Shared\OFFICE14
C:\Program Files (x86)\Common Files\Microsoft Shared\OfficeSoftwareProtectionPlatform
C:\ProgramData\Microsoft\OFFICE
C:\ProgramData\Microsoft\OfficeSoftwareProtectionPlatform
C:\ProgramData\Microsoft\Windows\Templates
C:\Program Files\Common Files\microsoft shared\OFFICE14
C:\Program Files\Common Files\microsoft shared\OfficeSoftwareProtectionPlatform
C:\Program Files\Microsoft Office
C:\Users\yourNick\AppData\Local\VirtualStore\Program Files (x86)\Microsoft Office
C:\Users\yourNick\AppData\Local\Microsoft\Office
C:\Users\yourNick\AppData\Roaming\Microsoft\Office
C:\Users\yourNick\AppData\Roaming\Microsoft\Word
C:\Users\yourNick\AppData\Roaming\Microsoft\Templates
C:\Users\All Users\Microsoft\OFFICE
C:\Users\All Users\Microsoft\OfficeSoftwareProtectionPlatform
C:\Users\All Users\Microsoft\Windows\Templates
i think there is more hidden...
perhaps it helps you for your office 2013 complete removing