In Internet Explorer, Tools menu, Internet Options, Connections tab, tick
"Never dial a connection". And/or if you are never going to use that old
dial-up again, you may as well delete that DUN connectoid (your new cable
broadband probably also allows DUN connections in case the broadband goes
down.) You can do that right there on the Connections tab.

Signature
Gary S. Terhune
MS-MVP Shell/User
www.grystmill.com
>I recently got a high speed internet cable modem to replace my old dial up
> connection and am trying to connect it to a rather old Dell laptop running
[quoted text clipped - 5 lines]
>
> Any ideas would be much appreciated. Thank you.