Process management with supervisor on Raspberry Pi involves starting the supervisor service, which reads configuration files specifying processes to manage. Processes marked with autostart=true launch automatically when supervisor starts. If a process stops unexpectedly and autorestart=true is set, supervisor restarts it automatically. The supervisor continuously monitors processes to keep them running. Commands like 'supervisorctl status' help check the current state of managed processes. This visual trace showed supervisor starting, launching a process, detecting a crash, and restarting it, demonstrating how supervisor ensures process reliability.