If you wish to use a remote Mailserver, a few changes will need to be made.

1) Go to User Panel -> domain.com -> MX Records

mail server

 

There should be an option for "Local Mail Server". Uncheck that option.

2) You'll need to change the MX dns record to point to the external mailserver. Remove the "mail" MX record and add "other.domain.com." as the new MX record where that is the domain of the other server.

If you do not have the MX Records menu in your DirectAdmin User Level login, then ask your hosting provider to enable the DNS Control option for your account.