what is the procedure for separating my account from the primary account holder?
Performing an AOL(assumption of liability) which can be done by calling CS or stopping by a Verizon store.
Depending on your credit history, you may have to provide a security deposit of up to $400 for the line.
You will also have to have the account owner available in order to do so.
AOL process- My Verizon FAQs | Verizon Wireless