If you've got an Android smartphone, download ES File Explorer, navigate to the App Manager (in ES), highlight HomebrewTalk and select backup. From there, upload the backed-up file on your SD card to your Dropbox, download onto your Kindle Fire (again, with Dropbox), and you're good to go.
You can also download AndroVM Android emulator (get the phone+tablet version) for VirtualBox, then proceed with the above directions.
I thought at one point there was a direct link to the file on this site, but I could be wrong.
Primary: Carrot Brown Ale; Session Black IPA
Kegged: Smoked Porter;
Bottled: Witbier; Belgian Golden Strong; Quad; Saison; Norwegian Farmhouse Ale