It is said now China is a cashless society. Use of debit and credit cards in shops/stores, online pay bills, shopping online.
Money earned from the internet is known as digital/electronic money. People who earn money from the internet, they get paid money in electronic form by payment processors such as skrill, perfectmoney, alipay, paypal, bank-wire transfers because online workers are worldwide.
Last month, I got $20 from online surveys. The money was sent to my bank account via online payment processor. Now if I buy 2 shirts using debit cards at offline or online stores, there is no cash involved but I have 2 shirts.
Just like Bitcoin which does not have a physical presence, money/cash will not have physical presence in "cashless society/countries" where money becomes digital/numbers.
Bitcoin is a part of digital money. How is digital money is your country ??
Here in the Philippines cashless money was operated in 19th century like what you said debit card and also paper tseque money, payment transfer through digital method was operated since year 2000. But this is not enough to make the people become comfortable i hope bitcoin is continuously moving around the world and serve to all the people without hassle no third party involve cashless payment for transaction is actually the best for all of us.