1  Video

Here is a video showing a simpler and better way to do long division.

The same ideas are presented in the form of text and diagrams (without video), in reference 1. You might also be interested in long multiplication, as discussed in reference 2 (video) and reference 1 (text and diagrams).

2  References

1.

John Denker,
“Hints on How to Do Math”
www.av8n.com/physics/math-hints.htm

2.

John Denker,
“Long Multiplication Videos”
www.av8n.com/physics/long-mult.htm