I just want to offer a suggestion to use winauth. It's a very useful application. I can also attest that it works fine for people without a smartphone. I passed this website to my friend who like you has a dumb phone and has no problem using it for his account.
The other thing that I find useful.I have the authenticator on my android smart phone, but sometimes I'll leave my phone upstairs in my house or charging somewhere in another room. Once I changed the serial and authenticator code to match my phone. I now can always pull it up on my computer if needed. Also includes a handy send to clipboard function if you are logging in via a browser. There are also options to encode the serial and put a password on the application if you would like as well. Overall a very useful program.
The other useful thing I want to comment on as well is you can write down your serial code for your authenticator and if you are ever in a spot where you don't have you authenticator on you, you can download the application and get your key as long as you have that serial code (saved somewhere securely I hope).