There are many web browsers which comes from official Debian Jessie 8 repositories such as Iceweasel, Konqueror to name just few. For all reasons and intentions you should be able to do any work required a web browser using Iceweasel the official Debian Firefox clone. However, if you insists on using Firefox web browser you can install it easily by using Linux Mint's imports repository. First edit your /etc/apt/sources.list file to include:
deb http://packages.linuxmint.com debian import
Update system repositories:
# apt-get update
You may get and ignore a following error:
 W: GPG error: http://packages.linuxmint.com debian Release: The following signatures couldn't be verified because the public key is not available: NO_PUBKEY 3EE67F3D0FF405B2
Once system's repositories are updated simply use apt-get command to install Firefox Browser on your Debian Jessie 8 Linux:
# apt-get install firefox
Reading package lists... Done                                                                                                                                                                             
Building dependency tree       
Reading state information... Done
The following NEW packages will be installed:
  firefox
0 upgraded, 1 newly installed, 0 to remove and 0 not upgraded.
Need to get 40.8 MB of archives.
After this operation, 89.9 MB of additional disk space will be used.
WARNING: The following packages cannot be authenticated!
  firefox
Install these packages without verification? [y/N] y
Once the installation is finished you can start Firefox either from command line:
$ firefox
or from an appropriate menu under your start button.
installation of Firefox Web Browser on debian linux jessie 8
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