Elementary arithmetic, with brief notices of its history... by Robert Potts.

23 Secondly. The divisor 5342 is contained 20 times in the second dividend 128208. When 20 times 5342 is subtracted from this dividend, the remainder is 21368. Thirdly. The divisor 5342 is contained 4 times in the third dividend 21368. When 4 times 5342 is subtracted from this dividend, the remainder is 0. The process may be thus exhibited: 5342)1730808(300 + 20 + 4 1602600 128208 106840 21368 21368 0 In practice the value of the units and the ciphers are omitted, and the process is thus performed:First. The divisor 5342 is found to be contained 3 times in the first five figures of the dividend. The product of 5342 by 3 is subtracted, and to the remainder 1282 is annexed 0, the sixth figure of the dividend. Secondly, The divisor 5342 is contained 2 times in 12820, and the product of 2 times 5342 is subtracted from this number, and to' the remainder 2136 is annexed 8, the seventh figure of the dividend. Thirdly. The divisor 5342 is contained 4 times in 21368, and 4 times 5342 subtracted from 21368 leaves no remainder. And 5342 is contained 324 times exactly in 1730808. The process is thus shewn: 5342)1730808(324 16026 12820 10684 21368 21368 0 When there are one or more ciphers at the right hand of the divisor they may be omitted, and as many figures from the right hand of the dividend, and the division performed with the remaining figures, and at the end of the process, to the remainder must be annexed the figures omitted in the dividend, to make up the whole remainder. 10. Any number is divided by 10, 100, 1000, &c., by marking off one, two, three figures from the right hand of the dividend. These will be the remainder, and the rest will form the quotient. Any number can be divided by 9, 99, 999, 9999, &c., by successively dividing the given number by 10, by 100, by 1000, by 10,000, &c., respectively, and taking the sum of the successive quotients for the true quotient, and the sum of the successive remainders for the true

/ 389
Pages

Actions

file_download Download Options Download this page PDF - Pages 8-27 Image - Page 8 Plain Text - Page 8

About this Item

Title
Elementary arithmetic, with brief notices of its history... by Robert Potts.
Author
Potts, Robert, 1805-1885.
Canvas
Page 8
Publication
London,: Relfe bros.,
1876.
Subject terms
Arithmetic

Technical Details

Link to this Item
https://name.umdl.umich.edu/abu7012.0001.001
Link to this scan
https://quod.lib.umich.edu/u/umhistmath/abu7012.0001.001/176

Rights and Permissions

The University of Michigan Library provides access to these materials for educational and research purposes. These materials are in the public domain in the United States. If you have questions about the collection, please contact Historical Mathematics Digital Collection Help at [email protected]. If you have concerns about the inclusion of an item in this collection, please contact Library Information Technology at [email protected].

DPLA Rights Statement: No Copyright - United States

Manifest
https://quod.lib.umich.edu/cgi/t/text/api/manifest/umhistmath:abu7012.0001.001

Cite this Item

Full citation
"Elementary arithmetic, with brief notices of its history... by Robert Potts." In the digital collection University of Michigan Historical Math Collection. https://name.umdl.umich.edu/abu7012.0001.001. University of Michigan Library Digital Collections. Accessed June 8, 2025.
Do you have questions about this content? Need to report a problem? Please contact us.