I see the problem in my case anyways, I failed to see what was going on in this table. I did not realize it was a series of steps (as decried in the article) but thought it was list of various fractions being computed. I did not realize that each row was a series of iterative steps. Or perhaps, gavin green your example, I was ready to understand the table. I still like how you presented the process. It just clicked for me. Very easy to understand. I don't think you could make it any clearer than how you have presented it.  I especially like that the decimal numbers are shown approaching the final result. [1:4, 2, 1, 7] is the fraction expansion, right?