Edit: Due to the fact that this article is old, the installation instructions may not work anymore. In order to successfully install the latest version of Wine, please access the wine tag and open the latest article (the one on top).

The latest installation instructions for Wine
Hello Linux Geeksters. As you may know, Wine 1.7.16 has been recently released. Among others, it comes with fixes for a bunch of regressions, initial stubs for DirectX Video Acceleration has been added, the IDL compiler got enhanced support for string arrays and over 50 bug-fixes have been implemented.
Also worth mentioning: While the the developers are working at making Windows Apps available for Android running on both ARM and X86 architectures, via Wine, they also want to make Wine available for Chrome OS.
In this article I will show you how to install Wine 1.7.16 on Ubuntu 14.04 Trusty Tahr, Ubuntu 13.10 Saucy Salamander, Ubuntu 12.10 Quantal Quetzal, Ubuntu 12.04 Precise Pangolin, Linux Mint 17 Qiana, Linux Mint 16 Petra Linux Mint 14 Nadia, Linux Mint 13 Maya and Elementary OS 0.2 Luna.
Because it will be soon available via PPA, installing Wine 1.7.16 on the listed Ubuntu, Linux Mint, Pear OS and Elementary OS systems is easy. All you have to do is add the ppa to your system, update the local repository index and install the wine1.7 and winetricks packages. Like this:
$ sudo add-apt-repository ppa:ubuntu-wine/ppa
$ sudo apt-get update
$ sudo apt-get install wine1.7 winetricks
Optional: To remove Wine 1.7.16 and downgrade all the packages that got updates via the Wine PPA, do:
$ sudo apt-get install ppa-purge
$ sudo ppa-purge ppa:ubuntu-wine/ppa