How Math Works: A Guide to Grade School Arithmetic for Parents and Teachers by G. Arnell Williams

Author:G. Arnell Williams
Language: eng
Format: mobi, epub, pdf
Publisher: ROWMAN & LITTLEFIELD PUBLISHERS, INC.
Published: 2013-09-26T22:00:00+00:00

I.

II. Using a single diagram to perform all of the divisions (progressing from left to right), we obtain:

III. Thus we have that = 4 3 6 or 436.

IV. As with multiplication on diagrams, alignments abound. In II, if we simply drop the coins on the remainder values when we move them up, we further abbreviate things with no loss of information:

The content of the modern LDA is contained in these coin/coefficient methods. To reach the final stage in this play simply requires that we vertically stack the horizontal steps and jettison the coins.

Long Division with HA Numerals

To show how we get the LDA from the prior situation, we will reorganize the last division . Instead of pushing the remainders up and to the right as we progress through the division, we can just as conveniently push the numerals in the dividend down and to the left like so:

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