As Jason mentioned there are a variety of options depending on your needs. One question that comes to my mind is "Do you need to do post recording editing?" ...and "What operating system are you using?"

I have a MacBook Pro and Office 365. I use QuickTime (included in Mac OS X) to record my screen and drop the file in OneDrive (you could also use DropBox, Google Drive, or any other cloud drive). This works well for videos that don't need post production editing. In a pinch, you can use iMovie to do post production editing with QuickTime movies. Though in my opinion it can be challenging to use at times.

Additionally I have a copy of Camtasia Studio ( https://www.techsmith.com/camtasia.html ) I use if I know I'm going to be doing considerable post production editing.