User blog comment:Alejandro Magno/Count to Infinity! (my style)/@comment-1605058-20140930201546/@comment-1605058-20141001185451

Wait - now that we have gotten to 2000 (I'm ignoring intermediate values now) so we have skipped 200 steps of form 10*x, so we repeat the process of multiplying by 10 200 times, thus we can now jump by 10^200.