A cavalry sergeant has 24 horses available which he needs to put on 6 carriages. So he needs to divide 24 by 6. He does the following calculation, based on knowingfigures that 6 will go into 24 at least once, so he puts down a 1. Subtracting 6 from 24, he gets 18, and he remembers that 6 times 3 is eighteen18/6=3.
$24 / 6 = 13.$
$\ 6$
$18$ So he comes up with the answer 13.
After considerable difficulty with implementing his solution he consults his lieutenant. The lieutenant checks the calculation by evaluating 13*6:
$13 * 6$
$18$ 36=18 16=6
$\ 6$
Add them: 24.
Implementation of the result still remains elusive so they consult the colonel, who uses a different method to check:. Write down 13 six times and add.
13
13
13
13
13
13
In adding this up, the colonel arrives at the following sequence of intermediate results: 3,6,9,12,15,18,19,20,21,22,23,24.