How to remove flickering or banding when recording a digital screen or monitor?

The other day, I was making a tutorial video and I had to record the activities performed on a laptop screen. When recording screen activities, I usually use an open source software called "Cam Studio" but this time, the activity involved shutting down the computer. Therefore, I chose to record it with my smartphone in HD mode instead. And I noticed the video had flickers. It is very distracting to look at. I had to remove the flickers otherwise, the video will be unwatchable.

So, what causes the flickering on the screen when recording a display screen or monitor?

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