What I want to do is to send raw data to database, then redirect the visitor to "thank you" page and then continue processing the data in background.
That basically describes how I'd do it right there, actually.
Consider two separate applications. One is the web application, which saves the user input to the database and then continues to interact with the user. The other is a scheduled console application (a standalone script invoked by cron
most likely) which looks for data in the database to be processed and processes it.
The user uploads the data, receives a "thank you" message, and his/her interaction is complete. The next time the scheduled task runs (every couple minutes, maybe?) it sees the pending data in the database, flags it as being processed (so if another instance of the script runs it doesn't also try to process the same data), processes it, flags it as being done (so it doesn't pick it up again next time), and completes.
You can notify the user of the completed process a couple of different ways. The back-end script can send the user an email (active notification), or perhaps the web application can examine the table for the flagged completed records the next time the user visits the page (passive notification).