Precision M4400 Smart Card Reader not working

I have a Dell Precision M4400 with a build in Smart Card Reader.

I'm using the Belgian eID program which is a program to login to  the government website.

On the laptop Windows 10 with all the updates is installed. I have, I think, the latest Broadcom driver installed for the smart card reader.

Now my problem: when I insert my ID card into the Smart Card Reader I get the error message "read error". I already changed the build-in Smart Card Reader with a new one but I still get the same error.

Is this a driver problem or does my laptop simply do not work with windows 10 anymore, or is it another problem?

All info to let it work would be very appreciated.