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The pupil will hence perceive the propriety of the following
RULE. Take for successive multipliers two or more numbers, whose continued product will be nearest the proper multiplier, and then find the ralue of the remainder by Case I., and the sum of the last two products will be the answer.
51. What will 57 gallons of wine cost, at 8s. 3 d. per gallon ?
52. Bought 29 lots of wild land, each containing 117A. 3R. 27p. ; what were the contents of the whole ?
53. Bought 89 pieces of cloth, each containing 37yd. 3qr. 2na. 2in.; what was the whole quantity ?
54. Bought 59 casks of wine, each containing 47gal. 3qt. Ipt. ; what was the whole quantity ?
COMPOUND DIVISION is when the dividend consists of several denominations.
EXAMPLES 1. Divide 598£. 8s. 9d. equally among 5 persons.
8. d. Having divided the pounds by 5, we find 5)598 8 9 3£. remaining, which are 60s.; to these we 119 13 9 add the 8s. in the question, and again divide
by 5 and find 3s. remaining, which are 36d.; to these we add the 9d. in the question, and divide their sum by 5. The several quotients we write under their respective denominations. 2. Divide 168 £. 158. Od. equally among 36 men.
When the divisor is more than 12, we
usually perform the operation by Long 144
Division. In the present example, we 24
first divide the pounds by 36, and obtain
4£. for the quotient and 24£. remaining, 36)495( 13s. which we reduce to shillings and annex 36
the 15s., and again divide by 36, and ob135
tain 13s. for the quotient. The remainder we reduce to pence, and again divide, and
obtain 9d. for the quotient. 12 36)324(9d.
324 From the above examples and illustrations we deduce the following
RULE. Divide the highest denomination of the dividend by the divisor, and, if there be a remainder, reduce it to the next lower denominalion, adding to the number thus found the number in the dividend of the same denomination Divide the result thus obtained by the divisor ; and, if there be a remainder, proceed as before, till all the denominations of the dividend are taken, or till the work is finished. The successive quotients will be of the same denominations with the successive numbers divided, or will correspond with the several denominations of the dividend.