The following setup describes a postix setup to send e-mails using an existing SMTP server. It is not designed to receive e-mails. My provider is DreamHost, but setup should be very similar with other hosters. I used a VM with the Ubuntu Server 16.04.1 out of the box installtion (ubuntu-16.04.1-server-amd64). This VM has no real FQDN, hence an imaginary needs to be configured in order to make the SMPT server accept sent e-mails.