Windows 10: SIgn on for multiple computers

I have multiple computers, one is owned by someone else 3000 miles away but I take care of it online.
I have just purchased Office 365 and installed it two of the computers in my office. The computer from the west coast was here for a week and during that time I logged on and installed the Office 365 on it. I managed to get my name and password off of it so the other person can sign on with their password and etc. Now today I get a call saying my picture has shown up on the sign on screen and they have to use my Microsoft password to get into the computer. How do I change it so that the Office 365 will continue to be updated on the western computer but will show the sign on screen from that computer and their password?
Thanks in advanced for any help on this.
Tbear13

:)

 

App Store sign-in error, 0xD000000D

Hi Suzanne,

There's a possibility that you are currently signed in on your computer using your local account. For us to sort this out, we suggest that you sign in with your Microsoft account instead. Follow these steps:

• Open Settings > Accounts > Your email and accounts.
• Select Sign in with a Microsoft account instead.
• Follow the on-screen instructions.

Once signed in with your Microsoft account on your computer, try signing into the Windows Store app.

Update us with the result.

Regards.

 

We couldn't sign you in

Hi,

To better assist you with the sign in issue of your Windows account, we would like to gather more information:

• Have you made any changes to your computer before experiencing this issue?
• What troubleshooting steps have you done so far?

Since you can't sign in to your Windows account, we suggest that you reset your password, check this
article and follow the steps given.

Looking forward to your response.

 

Multiple System Specs?

Im sure some people do have more then 1 computer. I think listing multiple specs is a good idea.