Note that write errors in the steam client are generally speaking because your anti-virus is killing the download by locking the file. You’ll need to add whitelisting in your anti-virus to address this issue

That’s really more of a Steam problem. Have you tried a different drive on your system?

Note the game isnt doing anything when steam is installing teh game. Thus its either something with your steam install, the drive you’re installing to, or your anti-virus

You can also try running steam as an administrator as well

This is a Steam hiccup. You might want to check out: How to Fix the Steam Disk Write Error