To enroll the device in the Android Enterprise program, your organization will have to be enrolled in Android Enterprise. Navigate to Enroll-> Platform- Specific-> Android-> Android Enterprise to carry out the enrollment process.
You can enroll the organization using a Managed or Google domain. Click here to know more about the enrollment of the organization using managed domain.
On choosing the Google Domain, the G Suite account of the organization should be used.
Click here to know more about configuration using G Suite.
Once the organization is enrolled, the devices can be enrolled either as a Profile Owner or Device Owner in Android Enterprise.
The profile Owner enrollment method is suitable for personal devices as it will demarcate the personal and corporate space in the device. The organization will have control only over the Work Profile.
The Device Owner enrollment is suitable for corporate-owned devices. The organization will have full power over the device.
Hope this helps! Please reach out for further queries.