Place the binary you download in your bin directory. Make sure your bin directory is added to your path and off you go. You run Quanty from a shell with the command Quanty and it expects as an input the text file it needs to process. Information is written to standard output and errors to the standard error stream. (both your terminal in an interactive session).
Have a look at Memory Management and parallelisation Parallelization in order to make sure you optimise the use of your computer.
Once the Quanty command works it is time to go to the basic examples in the documentation pages and learn how to set up a Quanty file. You can download all examples you see on the web page from the tutorials you can find online for the workshop in Heidelberg. For completeness you can also download a zip file with a set of tutorials for version 1 of Quanty http://www.quanty.org/QuantyDoc.zip.