How do electronic calculators work?

Question

I am specifically interested in the process of arithmetic division.

Answer 1

Binary long division is actually pretty easy

1011 < the result
101 ) 111010
101__ < 1st operation
10010
000__ < shift, 2nd operation
10010
101__
1000 < shift, 3rd operation
101__
11 <- remainder

Except my answer doesn't line up the way I composed it.

Answer 2

One way to do division (and there may be others), is to repeatedly subtract, counting the subtractions. When the result goes negative, don't count the final subtraction, but put it back and shift the register, subtract repeatedly......

There are other algortithms but that is one of the simplest to understand.

Answer 3

By dancing