This Free Screen Recorder Works in Your Browser [1]

NOTE: As of October 7, 2019 the site is down. We'll update when it comes back online.
Use this handy site to record your screen using your web browser.
It doesn't get any easier to record what's on your screen. This browser based screen recorder does it all from within your browser, nothing to install or download, no watermarks and no restrictions.
The site is simple to use. Open the site in your browser and select Record. A "Share your screen" window will open where you can choose to record the entire screen, an application window or a browser tab. A window pops up that says 'Scrnrcrd is sharing your screen'.
To stop recording, click the blue button that says "Stop sharing" or return to the Scrnrcrd tab and click 'Stop'.
The pop up window can be hidden.
After you're done recording your video can be downloaded at the Scrnrcrd tab. The videos I tested were good quality. If you do any demos or tech support for family or friends you probably know how helpful this is.
Scrnrcrd doesn't have an audio component, and I wasn't able to discover if videos are processed locally in the browser or are sent to a server for processing. There's a how-to video for Scrnrcrd here [3], useful if you haven't seen or used a screen before
If you're looking for a browser based screen recorder that has audio, you might want to look at RecordScreen.io [4]. I had some issues across browsers getting it to record and save, and the selection of what you want to record is narrower but if you need audio it's worth a look.
Note: if you use Firefox to visit this site, you will likely receive an invalid certificate error along with it's usual warning. The site was checked and found to be safe (see comments), and the site is not flagged as dangerous in other browsers.
As always, make your own determination on whether to proceed to the site or not. Invalid certificate errors are often due to the certificate not being renewed but there can be valid dangers in proceeding.
I'll add that I run into this repeatedly with Firefox - it flags a site as unsafe with a certificate error, I check it in other browsers and at sites like virustotal, no other browser flag it as unsafe and virustotal says it's fine.
Use your best judgement, try the site in other browsers to see if the error appears, check the site at virustotal and other services mentioned in the comments and decide whether to proceed or not.
Scrnrcrd Screen Recorder
You can find more Tech Treats here [6].
