"Pay the bill with the credit card."
Translation:E uku i ka pila me ke kāleka kāki.
My understanding is that kāki = fee, pila = bill. Similar, but not identical.
A fee/charge you can still choose not to pay (and not receive the goods/services). A bill/check is something for which you likely have ALREADY received goods/services, so are obligated to pay it. And the "bill" is usually presented in some paper form.