@Fibra Nice! I take your ratio \cfrac{1000000011111011010000110011}{11111111111111111111111111111} to be one decimal number over another, in this case \approx 0.009. I think your classes (more or less) amount to how many digits the numerator has compared to the denominator. If they’re the same length, the ratio has to be between 0.9 and 1.0. If the numerator has one less digit than the denominator, the ratio is between 0.09 and 0.1 … if two less digits, the ratio is between 0.009 and 0.01 … if three less digits, the ratio is between 0.0009 and 0.001.
So what kind of start number visits m total cells outside its final 1...1 range, but leaves them unmarked? No idea … 
It seems like we know so much about the first few iterations of start number n, but so little about what happens later.