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

6
necessary, to pounds, &c., and taking the amount of the product so
found.1
By a second process the product of a sum of money by a large
number may be known by finding 10, 100, 1000, &c., times the given
sum, and then multiplying each of these products respectively by the
given number of units, tens, hundreds, thousands, &c., in the multiplier, and taking the amount of these products.2
By another method analogous to that exhibited (Sect. VI. Art. 4)
the product can be found by multiplying the given sum successively
by any factors into which the multiplier can be divided, either complete
or incomplete.3
Conversely. The quotient arising from the division of a sum of
money by a large abstract number can always be determined in a
1 Ex. Multiply ~5 14s. 7dcl. by 2136.
~ s.d.
First, ~5X2136-=~2136X5 = 10680 0 0
Next, 14s. X2136 =2136s. X14 - 1495 4 0
Thirdly, 7c. X2136=2136d. X7 = 62 6 0
Fourthly, X2136=2136q. X3 = 6 13 6
Product of ~5 14s. 7'd. by 2136 - ~12244 3 6
2 Ex. Multiply ~5 14s. 7*d. by 2136.
Here 2136=2000+100+30+ 6.
~ s. d.
5 14 7.
10
57 6 51= 10 times ~5 14s. 7ld.
10
573 4 7 - 100 times,,
10
5732 5 10 =1000 times,
2
11464 11 8 =2000 times 9,
573 4 7 = 100 times,,
171 19 4-= 30 times,,
34 7 10-= 6 times,,
12244 3 6=2136 times ~5 14s. 7ld.
3 Ex. Multiply ~5 14s. 7-d. by 48 and by 51.
Here 48=8X6; and 51=8X6+3.
~ s. d.
5 14 74
8
45 17 2 = S times ~5 14s. 7`11.
6
275 3 0 =48 ties,,
17 3 1 = 3 times
292 5 11=51 times,,