These are email accounts ending with @outlook.com, @hotmail.com, @msn.com, or @live.com.
These include international domains, such as @outlook.co.uk, or any custom domains hosted on Outlook.com

Use the built-in Android mail app 

Type your full email address and your password, and then select Next

Device verifies the server settings

Accept the defaults or select the options for how you want to receive and send your mail, and then tap Next. 

Account is created

You can rename your account or simply tap on Next

Mailbox is empty

Tap on red selection areaand make visible all available folders inside the mailbox