According to Wikipedia:
LibreOffice is a free office suite compatible with Microsoft Windows, Mac and GNU/Linux. It has a text processor (Writer), a spreadsheet (Calc), a presentations creator (Impress), a databases manager (Base), a vector graphics editor (Draw) , and an editor of mathematical formulas (Math).
To the previous definition, I would add that it is also compatible with BSD OS (FreeBSD, OpenBSD, NetBSD).
LibreOffice covers a wide range of office needs and therefore can replace proprietary suites such as: Microsoft Office.
Note: This article has been updated (Version Debian GNU/Linux 8.1 and LibreOffice: 4.4.4).
Download LibreOffice
Go to the download section of the LibreOffice and download the indicated packages.
Unpack LibreOffice
$ ls LibreOffice* | xargs -I{} tar xzvf {}
Install full Suite
$ cd LibreOffice_4.4.4.3_Linux_x86-64_deb/DEBS/ && sudo dpkg -i *.deb
Install help
$ cd ../LibreOffice*helppack*/DEBS && sudo dpkg -i *.deb
Further reading
– LibreOffice The Document Foundation
– LibreOffice in Wikipedia