Or you could just add the
http://mozilla.debian.net/ repo to your sources.list and install Iceweasel, the repo includes the current release version, Beta, and Aurora.
Quote:
You need to add the following entry in /etc/apt/sources.list or a new file in /etc/apt/sources.list.d/:
deb http://backports.debian.org/debian-backports squeeze-backports main
deb http://mozilla.debian.net/ squeeze-backports iceweasel-release
You can install it with the following commands:
$ apt-get update
$ apt-get install -t squeeze-backports iceweasel
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Or just download Firefox, extract, create a shortcut, and be happy.