What version of kaspersky are you using and are you using the pirated version?. Some pirated version actually comes with the key file which in itself is a virus.
IF you are using genuine and constantly having that problem. Then your best solution is to reformat the PC. Remove all first then reinstall. Some viruses cannot be deleted by antivirus software alone and require special software to do it. Or you can request kaspersky help for you to remove it.
After resintallation i think your PC will be fine because Kaspersky is very good in detecting viruses, trojans, etc that infect your PC.
Kaspersky is really the best. I've stick with Kaspersky for years. Recently, I move to comodo internet security. Of course, the comodo anti-virus is not as good as kaspersky engine, but I love Comodo firewall because it tell the the detail of each threat like it is trying to do what or trying to connect to which IP.
I think it is really ideal for home basic user like me.

While kaspersky is too pro and consume too much computer resource. You can download Comodo Internet Security here