All your bills can pay by using online bill pay service, and this service can become available by the media of your banks or can do through service providers.
One model for online bill pay service is the bank model of approach where the financial institution with whom you have tied up will provide you reminders regarding the payment of money, and the bank will send the same from your account.
In this case, everything depends on the payee type. The respective bank will do the payment using an electronic payments system or even through paper checks, it will be done in a specific period, say within five days of payment. Most of the banks go for an unlimited facility for the same, instead of confining one once or twice.