Polynomial long division

At school everybody is taught this procedure to divide one number by another. The first number being called the dividend and the second the divisor:

It's possible that some people reverse the order, doing it from right to left. I have no idea about what causes this, but I remember making this mistake more than once. Could it be related to languages that are written right to left? I really don't know. If you take another look at it, this algorithm is nothing more than: 3 x 100 = 300, then 523 - 300 = 223. Then 3 x 70 = 210 and 100 + 70 = 170. Repeat. It's all based on base 10. What we do is to break down numbers in base 10, such as 523 = 500 + 20 + 3. Perhaps some people think it reversed, 3 + 20 + 500 = 523? It's really like asking: "What is easier? To do the sum from 1 to 10 or from 10 to 1?". For computers this doesn't matter at all.