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DIVISION of SIMPLE QUANTITIES. DIVISION of fimple quantities teacheth to find how many times one fimple number is contained in

another.

N Ο T

E.

The divifor, is the number you divide by.

The dividend, is the number which is to be divided. The quotient, fhews the number of times the dividend

contains the divifor.

The remainder (if any) is the number which is left after the divifion is performed.

CASE

I.

RULE.

When the divifor is less than thirteen.

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Write the divifor on the left hand of the dividend, with a curved line between them, and draw a line under the dividend. Then, feek how often the divifor is contained in the first figure of the dividend, or, if in cafe the first figure of the dividend be less than the divisor, then in the two firft figures of the dividend, and fet down the quotient accordingly, and if any thing remains carry it to the next figure in the dividend, where it must be reckoned as fo many tens; that is, if one remains you must call it ten; if two, twenty; if five, fifty, &c. Thus proceed until you have made ufe of all the figures in the dividend.

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Some call this Short divifion, and others call it mental divifion. It is properly a contraction of cafe 2d. Also, To complete the quotient, put the laft remainder, if any, at the end of it, above a small line with the divifor below it.

To prove

DIVISION.

Multiply the quotient by the divifor; to the product add the remainder, and the fum will be equal to the dividend if the work is right.

EXAMPLE S.

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Anf. 30918258451

19. Suppofe a wheel with 248 teeth is to carry a pinion with 8 leaves; how many turns will the pinion make for one of the wheel? - Anf. 31.

20. A man performs a journey of 672 miles in 12 days; how many miles does he travel in a day?

C A S E

When the divifor is more than twelve.

R U L E.

Anf. 56.

II.

Place the divifor as directed in cafe 1ft, and draw a curved line on the right hand of the dividend to separate it from the quotient, which muft ftand on the fame line with the divifor and dividend. Then find how often the divifor is contained in the feweft left hand figures of the dividend, put that number in the quotient, multiply the divifor by that number, place the product under the figures in the dividend you are dividing, and then fubtract it from those figures. Bring down the

next figure in the dividend, and place it on the right hand of the remainder; and, if the remainder be then more than the divifor, proceed as before directed; but if it be lefs, write a cipher or ciphers in the quotient, and bring down one or more figures from the dividend, as may be wanted, and then divide; always taking care to put a figure in the quotient for every figure you bring down from the dividend. Thus proceed till you have brought down all the figures in the dividend.

O B S E R V E.

Every remainder, after fubtraction, muft be lefs than the divifor; if it is not, the laft figure is not the largest poffible, which it ought to be.

EXAM PLES.

1. Divide 4141710151 by 13.

Dividend. Quotient.

13)4141710151(318593088,75

Divifor.

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17. Divide 491010101721 by 43710187.

1 3 5 7 1 1 50

Anf. 1123343710187*

18. Divide 1410190001428 by 13710018.

4969984

Anf. 102858,4250014.

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