We stop at this point because 24 was a previous modified dividend, written under the form 240 above. Our two infinite numbers (which need not in practice be written down) are, with their difference:
. .
10,958,904,058 . .
10,958,904,109.5890410958904
----------------------------
. .
51.5890410958904
. .
Here the quotient sought is 5.158904109.
Example 2. Find the reciprocal of 333667.
The whole work is here given:
3 3 3 6 6|7 |7
2 3 3 5 6 7 - 1 6 3 4 9 6|9
2 1 0 2 1 0 3 -
-------------
2 2 6 5 5 9|9
2 1 0 2 1 0 3 -
-------------
2 3 2 8 6 6|2
4 6 7 1 3 4 -
-----------
7 0 0 0 0 0
. .
Answer, 0.000002997.
Example 3. Find the reciprocal of 41.
Solution.—
4|1 |9
----- -----
3 7|9 3 3|3
- 1 1 1 -
-----
1 4|4
1 4 8 -
-----
1 6|2
7 4 -
---
9 0
. .
Answer, 0.02439.
C.S. PEIRCE.