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

Conversely. A sum of money can be divided by an abstract
number by beginning with the largest units, and dividing each in
succession, observing how many smaller units make one of the next
greater.1
First. After the pounds of the quotient are found, let the remaining pounds be reduced to shillings.
Secondly. When the shillings of the next partial quotient are determined, let the remaining shillings be reduced to pence.
Tlirdly. When the pence of the next partial quotient are found,.
let the remaining pence be reduced to farthings.
Fourthly. Let the farthings of the last partial quotient be found.
Then the complete quotient will consist of those partial quotients,
and will in general be composed of pounds, shillings, pence, and.
farthings.
2. When the multiplier is a large number, it will sometimes be
found convenient to find separately the products of the different units
of the multiplicand by the multiplier, making a change of multiplier
and multiplicand in each case, and reducing each product when.
The process is exactly the same as that of multiplying any number by another
consisting of one figure (Art. 3, Sect. VI.), with this difference, that at each step of
the operation, attention must be paid to the number of smaller units which make one:
of the next greater.
First. 3 farthings multiplied by 6 gives 18 farthings, or 4d. and; reserve the,
ld.
Secondly. 7d. multiplied by 6 with 4d. added make 46d., or 3s. and 10d.; reservethe 10d.
Thirdly. 14s. multiplied by 6 with 3s. added make 87s., or ~4 and 7s.; reserve
the 7s.
Fourthly. ~5 multiplied by 6 with ~4 added make ~34
The product is ~34 7s. 10Od.
Ex. To divide ~34 7s. 10~d. by 6.
~ s. d.
6)34 7 10 -~5 14 7 quotient.
The process of division being the reverse of multiplication, is (in this case)
analogous to that of the division of any number by another of one figure, with
the difference above stated. In division, the operation must begin with the greatest
units and end with the least.
First. ~34 divided by 6 gives the quotient ~5, and ~4 or 80s. over; reserve the
~5.
Secondly. 80s. added to 7s. make 87s., which divided by 6 gives the quotient
14s., and 3s. or 36d. over; reserve the 14s.
Thirdly. 36d. added to lOd. make 46d., which divided by 6 gives the quotient
7d., and 4d. or 16 farthings over; reserve the 7d.
Fourthly. 16 farthings added to 2 farthings make 18 farthings, which divided by,
6 gives the quotient 3 farthings.
The quotient is ~5 14s. 73d, the sum of the partial quotients.