If you're having difficulty upgrading to Windows 10 using the icon on your computer, it has helped quite a few people I know to download the update to a USB stick and update from it.
Here's a link to the official Microsoft site for doing that:
Windows 10 download DON'T use the Update Now link; scroll down a bit till you come to the link for making a USB or DVD
Follow the instructions for downloading the software and then execute the update from your copy. Depending on how you use it, you can either do a standard upgrade where your files are retained or you can do a "clean install".
As a comment for the OP, I also had a Toshiba Satellite that I updated to Windows 10. I found it critically important to update the drivers before doing so using the ones provided on the Toshiba website. Without those drivers I had BSOD (blue screen of death) issues and had to revert the computer back to Windows 8.1. Once I had installed the drivers, the update went without problem.