This method does not actually collect any payment information from customers. Store admins will be notified of the new order, and must then provide the customer with quote/pricing information (generally through email, though this can be handled however they desired as it is done outside of the software) for the products that were 'ordered'.
In the AspDotNetStorefront admin console, go to Configuration > Site Setup Wizard and check the box next to Request For Quote in the Credit Cards & Other Payment Methods section, then click Save.
It will then be shown in the Payment Info page as one of the payment methods.
After the order is completed a confirmation will be received. The store administrator will need to contact the customer about the custom quote request.