I couldn't find what I've been looking for.What I found from the "search" box shows only the physical connection between a router and the external modem.My question is exactly the following:-

Suppose you have a router at your office connected to a modem via its AUX port(which is afterall for a remote access purpose) and you sit at your house where you have some sort of internet connection (dial up or broadband it doesn't matter)

now you want to access the router(located at office) right from your home.

What is the configuration and the parameters you enter for the configuration (like IP addresses, username,pswd etc)

It seems you're are mixing up things a little.

To access a router remotely from the internet, no aux port or modems is needed.

or

To access a router on the aux port with a modem, you need a dial-up modems.

Both these configurations are explained in the standard documentation, and easility done by any person with Cisco experience or certification. If you don't have that, I recommend you get one, to save yourself much loss of time.