Just what is it that you want to do? You said you don't want to save the registration in a database, so it's not really a registration issue--you have no way to check a returning visitor. Is this just an exercise in PHP scripting, or do you have some purpose in asking for the information? If you just want to pass data from one page to another, you can set a $_SESSION variable (after using session_start(), of course) and check it in subsequent scripts
during the same session, but of course those variables disappear when the time expires. If you want to pass it to a script, you could use PHP to populate a form field or, as I think you mentioned, an HTML table when you return a new page. But I'm unclear on what you want to do.
Your comment
permanently to an html table cell
doesn't mean anything, since HTML tables contain only what you put into them, they are certainly not permanent, except what you write into the script.