Flash/Java Chat

Hello,

I’ve been working on a silly little flash chat program, and was just wondering, how would I put the server program on the web?

I mean, it has to be running to accept connections, and I don’t have my own web server, just 10MB from my isp.

The server uses crappy old java, so could i put it in an applet, and then when a user logs on, it runs…

But each time a user logs on, wouldn’t that create a new server instance? Would I actually have to have access to the web server machine to run a chat server?