If you have federal tax due you can pay by mailing your payment with the 1040V voucher, (which has the address printed on it, having the payment taken out of a designated bank account, or you can pay directly on the IRS website. 

https://www.irs.gov/payments/direct-pay 

https://ttlc.intuit.com/community/tax-payments/help/how-can-i-pay-my-federal-taxes/00/26212

https://ttlc.intuit.com/community/tax-payments/help/how-do-i-pay-my-irs-tax-due-with-a-check-or-mone... 

You must pay your state tax due using the state’s preferred method of receiving payment.  For most states that will be by making a payment to the state’s own tax website, or by mailing a check or money order.

https://ttlc.intuit.com/questions/1900884-what-are-my-options-for-getting-my-state-refund-or-for-pay...

https://ttlc.intuit.com/questions/1901670-how-do-i-contact-my-state-department-of-revenue

Thanks for your reply, but Turbotax Premier does not let you proceed to filing unless you select whether you are paying by bank account, check or setting up a payment plan. There is no option that says, "pay by credit card". One must file first, in order for there to be a record in the IRS website to pay the taxes with a credit card. Hence my post outlining the steps I took to file and pay my taxes with a credit card in Turbotax Premier.