Why do we shift digits in 'multiplication by long form'? —— Building floors and the 'two steps'

In the previous article, I dissected the true nature of division as 'subtraction (a process of reducing)' and explained that ...

The Story of How the Essence of Division Was Just "Single-Digit Multiplication" and "Three Steps"

Why did we stumble over "division"?I remember that when I was little, I was good at multiplication (the times tables), but as soon as I started long division, I hit a sudden wall.I myself remember ...
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There's An Amazing Way To Do Multiplication That's Better Than How You Learned In School

A new way to teach elementary school students multiplication is causing some controversy — but it may be easier than the method you probably learned in school. You probably learned multiplication ...