Unfortunately, Google Play services has stopped? I recently bough an Android computer from China. However, it does not have Google Play Store on it. I've tried downloading and installing the Google Play APK. The installation appears to be successful, but it freezes each time that I try to open it, with a message saying "Unfortunately, Google Play services has stopped" The system has Android Version 6.0.1 and Kernel version 3.10.0.
Naturally, you cannot simply install Playstore as user app. First, it needs to be a system app, and second it depends on several other Google apps (GSF, Google Services Framework – see Wikipedia). For details, please check with our google-play-store tag-wiki and especially follow up to How can I install the Google Apps Package (Play Store, …) on my Android device?

Alternatively, you could e.g. use the the YalpStore app (and optionally the microG framework, an open-source GSF alternative – not really needed by YalpStore but would provide the needed services for other apps usually depending on GSF).