Which free chess (learning) programme would you recommend? I sadly do not have the time for a paid engagement regarding chess, yet I would like to use a good (learning) programme in my spare time.

I used an old programme from my grandfather, but it doesn't work on the new OS anymore. Any suggestions?
Take a look at Lucas Chess.

http://www-lucaschess.rhcloud.com

From its web:

Play: The program has 21 engines prepared to play from the start, and with very different levels, from 1300 to 3000 elo.

Train:
You have an extensive list of trainings with which to try to improve your chess:


Training positions
Play like a grandmaster
Training mates 


Compete: In Lucas Chess there are several competitions, and in two of them you can publish the results.