Databases can store user details from websites in MySQL for comparison on return visits. Forms are typically used to collect names, addresses, passwords, and are submitted through PHP to insert the data into MySQL tables on a server. Well-designed forms will retain any existing data if the registration fails, allowing users to easily correct mistakes. PHP scripts can validate forms, process registrations by writing data to user tables, and load new pages upon successful logins by retrieving user details from the database into sessions.