Arithmetick vulgar, decimal, & algebraical. In a most plain and facile method for common capacities. Together with a treatise of simple and compound interest and rebate; with two tables for the calculation of the value of leases and annuities, payable quarterly; the one for simple, the other for compound interest, at 6. per cent. per annum; with rules for making the like for any other rate. To which is added a new, and most practical way of gauging of tunns. As also the art of cask-gauging, for the use of His Majesties Officers of the Excise.

DIVISION.

DIvision is also a kind of Subduction, and informs the Querent, how many times one number is contained in another.

There is in Division these three things to be observed, viz. the Dividend, the Divisor, and the Quotient. The Dividend is a number to ••e divided into parts, the Divisor is the quan∣••ity of one of those parts which the former is •••• be divided by, the Quotient is the number •••• such parts as the Dividend doth contain•• ••••ere is also by accident a fourth number in ••••••s Rule necessary to be known, which is a ••••mainder, and that happens when the Divi∣•••••• doth not contain an equal number of such ••••••ntities as it is divided by, as when 15 is to

be divided by 4, the Dividend is 15, the Di∣visor is 4, and there is a Remainder 3.

In Division you may place your numbers thus.

Dividend.

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Multiplication is positive, but Division is performed by essays or tryals, after this manner:

〈 math 〉〈 math 〉 Here I first inquire how many times 3 I can have in 14, I find 4 times, I place 4 in the Quotient, and then mul∣tiply the Divisor by that 4, placing the Product underneath the Dividend, as in the Example; say, 4 times 5 is 20, set down a Cypher under the 6 and carry 2, then 4 times 3 is 12 and 2 is 14, which I set down also, as in the Example; then subduct this Pro∣duct from the Figures standing over them, and set down the Remainder.

〈 math 〉〈 math 〉 Then for a new Divi∣dend, I bring down the next figure, and postpone that to the Remainder, and inquire how many times 3 in 6, I cannot have twice, because I

cannot have twice 5 from 5, I say then once, and place 1 in the Quotient, proceeding as be∣fore saying, once 5 is 5, which I place under the first 6 toward the right hand, and once 3 is 3, which I set down under the other 6; subducting these as the former, I find the Re∣mainder to be 31.

After which I bring down the next figure in the Dividend, and postpone it to the Remain∣der, as in this Example: 〈 math 〉〈 math 〉 Then I inquire how many times 3 in 31, I sup∣pose 9 times, placing 9 in the Quotient I multi∣ply again; saying 9 times 5 is 45, 5 and carry 4; then 9 times 3 is 27, and 4 is 31; these being set down, as before directed, and subducted, there will remain nothing. I then conclude, that the Di∣visor is so often contained in the Dividend as is expressed in the Quotient, viz. 419 times.

For further Instructions, take these Exam∣ples.

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