If you are upgrading to Office 2016 or want to install Office 2013 without a disk you now have to create a Microsoft account through Office 365. Here is the process for getting Office 2016 installed:
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Sign in to your Office 365 account at www.office.com and clicking “Sign in”.
Once you’re signed in, click “My account”. Under “Install”, click the “Install” button. In the “Install Information” section of the “My Office Account” page, click the “Language and install options” link. Click the “Additional install options” link. On the “Additional install options” screen, select “Office 2013 (32-bit)” or “Office 2013 (64-bit) from the “Version” drop-down list. Click “Install” to download the appropriate installation file.
A User Account Control box may display asking you for permission to install the application. Click “Yes” to continue installing Office 2013. A banner displays while Office is “Getting things ready”. Office 2013 is installed in the background and may take a while, depending on the speed of your Internet connection. When the installation is done, the “Welcome to your new Office” dialog box displays. You can either go through some screens that help you finish setting up Office by clicking “Next” or you can close this dialog box by clicking the “X” button.
More: howtogeek.com