Algorithms; Arithmetic -- Early works to 1900; Mathematics -- History
+------------------+---+---+---+
| The residue | | 2 | 7 |
+------------------+---+---+---+
| The quotient | | | 5 |
+------------------+---+---+---+
| To be dyvyded{e} | 3 | 4 | 2 |
+------------------+---+---+---+
| The dyvyser | | 6 | 3 |
+------------------+---+---+---+
+--------------+---+---+----+---+---++---+---+---++---+---+---+
| Residuu{m} | | | 8 || | || | 2 | 7 || | 2 | 6 |
+--------------+---+---+---++---+---++---+---+---++---+---+---+
| Quociens | | 2 | 1 || 2 | 2 || | | 5 || | | 9 |
+--------------+---+---+---++---+---++---+---+---++---+---+---+
| Diuidend{us} | 6 | 8 | 0 || 6 | 6 || 3 | 4 | 2 || 3 | 3 | 2 |
+--------------+---+---+---++---+---++---+---+---++---+---+---+
| Diuiser | 3 | 2 | || 3 | || | 6 | 3 || | 3 | 4 |
+--------------+---+---+---++---+---++---+---+---++---+---+---+
[Sidenote: When the last of the divisor must not be set below the
last of the dividend. How to begin.]
And ther ben .2. causes whan the last figure may not be sette vnder the
last, other that the last of the lower nombre may not be w{i}t{h}-draw
of the last of the ou{er}er nombre for it is lasse than the lower, other
how be it, that it myght be w{i}t{h}-draw as for hym-self fro the
ou{er}er the remenaunt may not so oft of them above, other yf þe last of
the lower be even to the figure above his hede, and þe next last oþ{er}
the figure be-fore þ{a}t be more þan the figure above sette. [*Fol.
53^2.] These so ordeyned{e}, me most wirch{e} from the last figure of þe
nombre of the dyvyser, and se how oft it may be w{i}t{h}-draw of and fro
the figure aboue his hede, namly so that the remen{au}nt may be take of
so oft, and to se the residue as here:--
[Sidenote: An example.]
+------------------+---+---+---+
| The residue | | 2 | 6 |
+------------------+---+---+---+
| The quocient | | | 9 |
+------------------+---+---+---+
| To be dyvyded{e} | 3 | 3 | 2 |
+------------------+---+---+---+
| The dyvyser | | 3 | 4 |
+------------------+---+---+---+
[Sidenote: Where to set the quotiente. Examples.]
And note wele that me may not with{e}-draw more than .9. tymes nether
lasse than ones. Therfor se how oft þe figures of the lower ordre may be
w{i}t{h}-draw fro the figures of the ou{er}er, and the nombre that
shew{i}t{h} þe q{u}ocient most be writ ou{er} the hede of þat figure,
vnder the which{e} the first figure is, of the dyviser; And by that
figure me most with{e}-draw all{e} oþ{er} figures of the lower ordir and
that of the figures aboue thair{e} hedis. This so don{e}, me most sette
forward{e} þe figures of the diuiser by o difference toward{es} the
right hond{e} and worch{e} as before; and thus:--
Public-domain text, read in full here on John Shaqi.
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