If you are registering an Applecare extended warranty plan, then it is normally registered to the item you want to have a warranty on. I have never needed to enter my address because they already have my address if the computer or iPhone or iPad is already registered.
So, is this the place where you are trying to register it?
http://www.apple.com/support/applecare/register/
When I click on Continue, I get this page where my name/address are already entered and all I need to do is enter the serial number for the device and registration number for the applecare. Note that the Apt/Suite area is blank: