Is there a way we can find the name of the bank from the details that we get after scanning a card?
The only relevant info seems to be Card type - Visa etc and the last
The first six numbers identify the card type and bank. In America we tend to take the short cut of the first number to identify card type, but in fact the first four identify the exact card issuing company and the bank is further identified by the last two (card types with more than 100 banks will have more than one set of numbers in the first four). All six numbers identify the bank exactly. Pace mbmccormick, though, this list is not regarded as public information, and if you wanted to get an authoritative list you would have to pay for it and only get it with confidentiality agreements.
However, enough of the information has been collected and identified publicly that you can get an approximate answer from publicly available BIN databases. This is especially true if the individual bank is not your greatest concern (that is you are not looking to call them or validate that the card holder can correctly identify the bank based on the bin number) but rather you want to make sure that the card is issued in the same country as the card holder claims (or wants to ship to).