Is there any quick measure I can take to completely eradicate possible more trojans?

By the way, you did say "quick" . When viruses are bad , the only sure way is to format and reinstall Windows. So follow what I said in the first post.

Best practice for eliminating viruses or Trojans is PC reinstallation and changing all bank accounts and e-mails passwords.

You said it took you 24h for scanning. The installation will take you 1h.

Change your antivirus too. Buy one of the well-known brands like Symantec, McAfee, ESET, Kaspersky, Trend. There is no perfect AV software, but bigger is better.

You should also run a full scan. A full scan might find other hidden malware.

If you do open the attachment from spam email, you should end up installing malware on your PC. E.g. malicious software programs that pose as legitimate .bat files

The malware can also be automatically installed when you connect the infected drive to your PC. Scan those external drives.  Disable the Autorun function.

With the exploitation success, Trojan procees to download other threats to your PC. Once these threats are installed on your PC they will continue to download more threats. So best mean (though not faster) is rebuild machine if possible and have best protection from malware and potentially unwanted software using an up-to-date, real-time security product. Alternate AV scanner is preferred to give the assurance. If you have the BAT file, can try Virustotal.com to see what other AV can detect. It should be removed but I suppose it has more than just this threat.

I think the main way I get viruses (as I never download pirated software and never visit dubious porno sites or gambling sites) is through downloading files such as pdf files and word documents. I do this a lot when I translate, and I have to do it quickly to lookup words.

What if I would do all this lookup on a Chromebook computer and then have Bluetooth connection to transfer whatever I need from each downloaded file from the Chromebook computer to my ordinary Windows laptop?

Suggest you scan all pdf and document before you actually open up. Try virustotal.com such that you can upload the document if they are not sensitive, otherwise can consider using the hash of the document but it has a higher miss in scan result, since the document may be unique. Actually, a separate scanning machine (like your Chromebook) can be used and have your machine be able to revert to clean state if it is infected, either using Virtual machine like VMware workstation or using software such as Deepfreeze.
http://www.faronics.com/en-uk/products/deep-freeze

It sounds simple to do a 1 hour re-install, but is practically impossible for me. I have so many tweaks and special settings I need for my work and  I can't get this setup in a short period of time after a re-install, would take me a long time to get that set up again.

The pattern now is that probably this trojan is using my computer as slave for doing something. Suddenly this morning I could not use my computer; got messages the IP address can't be found for a website, takes ages for sending text messages to tech remote support, couldn't download the tech remote support's application (was freezed for ages). Couldn't visit Experts Exchange. This went on for about 2 hours. Now suddenly my computer is like new again without having done anything! Even when I run a heavy virus scan with MSE. That indicates this trojan is using my laptop as slave for something.

May want to sieve out any anomalies in traffic to external destination e.g. typing netstat -b -o 5 in your Command Prompt screen

-b attribute: displays the executable involved in creating each connection or listening port.

-o attribute: displays the owning process id associated with each connection.

integer:  An integer used to display results multiple times with specified number of seconds between displays. It continues until stopped by command ctrl+c.

eventually this malware wpuld have to call back to the mothership for instruction or send back info. Need to hunt down if you are still going to use thus machinr and connect it to network and Internet. Also good to scan using another AV mentioned.

What was the result of a full scan by MSE and then scan again by Malwarebytes?

The problem with scanning with MSE it takes about 3 days for a full scan, and it slows down the computer so I can not have it on while working during the day. I will try if I can scan during night, then pause during the day then resume from where it stopped during second night and so on.

Malwarebytes did not find anything more.

The command prompt suggestion seems like it would be worth a try. I also figured, all these viruses and trojans, one one has established what type of virus/trojan it is, shouldn't its "range of influence" be limited to one extent in that a virus/trojan can't be too big in order to be able to hide in a computer system? I mean, it functions must be limited to a certain type of activity as it can't be too big. Is it possible from reading patterns to establish detailed sub-types of viruses and trojans and see what types of activities they can be concerned with?

btan, should I run your commands in Command Prompt and report back here the results?

btan, i entered the root directory with command prompt and entered what you said, but I only get a list with explanations of each parameter.

That could work for me, to add another SSD. How do you mean to add this SSD? Install as new internal and use the old HDD as external? Or the other way around (but can I install a Windows on an external SSD)?

Now I'm uninstalling TeamViewer to install the latest version, and it takes ages, the indicator is stuck on about 10 % and doesn't move any more.

See if this "Netstat -ab" can work.

Keep both drives as internal. If you are using a laptop with CD you can replace it with a caddy for the second disk. Which model do you have?

In your first post you suggested that the viruses are gone. So proceed with your plan to scan with MSE.  You first posted about 2 days ago, so the scan should be near done.

Otherwise, the only sure way (mentioned by us earlier) is to back up and reinstall Windows.

Going forward, download the files you want to a constant and specific folder that is always scanned by MSE. That will pick up viruses immediately.

That is an excellent idea John, to have the download folder always scanned. But how do I do that? There is no setting in MSE for this. There is no such option in Malwarebytes Pro either. If I could have an anti-virus to scan the Windows default download folder, it would make a big difference. Each time a new file is downloaded there, then scan the folder.

About moving to a new computer system a little at a time, how do I make sure I don't move with me the old viruses and trojans to the new computer system?

Now I can hardly use my computer again. What happens is that when I search in Google, I get a lot of URLs displayed in the lower left corner of my computer screen: Facebook, LinkedIn, Yandex.ru (a Russian search engine), etc. etc. And it takes ages to do a search, if at all possible.

for author advice

Suggested the possible mean of scan, prevention and restoration approaches