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Divisor, Div.Quotient. 95)85595(901

61)286091469 756)863256(1172

472)251104(532 there remains 664 9. Divide 1893312 by 912.

Ans. 2076. 10. Divide 1893512 by 2076.

Ans. 912. 11. Divide 47254149 by 4674. Ans. 101101171

12. What is the quotient of 350098048 divided by 4207

Ans. 78464. 13. What is the quotient of 761858465 divided by 8465 ?

Ans. 90001. 14. How often does 761858465 contain 90001 ?

Ans. 8465. 15. How many times 58475 can you have in 1191845-3?

Ans. 30971334. 16 Divide 280208122081 by 912314.

Quctient 3071409123 12•
MORE EXAMPLES FOR EXERCISE.
Divisor. Dividend.

Remainder.
234063)590624922(Quotieni) 83973

47614)3278791867 ) 9189 987654)9886416541 ) ...0

CASE II. When there are cyphers at the right hand of the divi. sor; cut off the cyphers in the divisor, and the same number of figures from the right hand of the dividend then divide the remaining ones as usual, and to the ree mainder (if any) annex those figures cut off from the di: CC dend, and you will have the true remainder.

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EXAMPLES.

1. Divide 4673625 by 21400. 214(00)46736)25(218,442,5true quotient by Restitution.

423..

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2 Divide 579432675 by 6500 Ans. 583743444 3. Divide 421400000 by 49000. Ans. 8600 4. Divide 11659112 by 89000

Ans. 1318 otto 5. Divide 9187642 by 9170000. Ans. 1176 to

MORE EXAMPLES.
Divisor. Dividend. Remaiin.
125000)436250000( Quotient.)
120000 149596478/ 176478
901060 6543472307

221250
720000)9876540001 )534000

CASE III. Short Division is when the divisor does not exceed 12.

RULE. Consider how many times the divisor is contained in the first figure or figures of the dividend, put the resul: under, and carry as many tens to the next figure as tnere are ones over.

Divide every figure in the same manner tu the whole is finished.

EXAMPLES. Divisor. Dividend.

2)113415 3)85494 4)59407 5)94379 Quotient 56707—1

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Contractions in Division. When the divisor is such a number, that any two fig." ures in the 'Table, being multiplied together will produce it, divide the given dividend hy one of those figures ; the quotient thence arising by the othér ; and the last quotient will be the answer.

Norr. The total remainder is found by multiplying the last remainder by the first divisor, and adding in the Erst remainder.'

EXAMPLES. Divide 162641 by 72.

01162641 or 8)162641

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2258-07

22588

63

first rem. +2. True Quotieni 225897

True rei. 65 2. Divide 178464 by 16.

Ans. 11154 3. Divide 467412 by 24.

Ans. 1947511 4. Divide 942341 by 35.

Als, 269247'5 5. Divide 79638 by 36.

Ans. 221246 6. Divide 144872 by 48.

Ans. 5018 7. Divide 937387 by 54.

Ans. 173595 8 Divide 93975 by 84.

drs. 1118811 9. Divide 145260 by 108.

Ans. 1845 10. Divide 1575560 by 144.

Ans. 10940 2. To divide by 10, 100, 1000, &c.

RULE. Cut off as many figures from the right hand of the divi. dend as there are cyphers in the divisor, and these figures so cut off are the remainder; and the other figures of the dividend are the quotient.

EXAMPLES. 1. Divide 565 by 10., Ans. 36 and 5 remains 2. Divide 5762 by ivo. Ans. 57 - El rein. 3. Divide 763753 ly 1000. Ans. 763 753 rew.

SUPPLEMENT TO MULTIPLICATION. To multiply by a mixt number; that is a whole num ber joined with a fraction, as 84, 5, 61, &c.

RULE. Multiply by the whole number, and take the big , &c. of Puliifilimand, and ans! it to the product.

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Qurstions to E.cercise Multiplication and Dirision.

1. What will 93 tons of hay come to, at 14 dollars a ton

Ans. $136). 2. If it takes $20 rods to make a mile, and every rod contains 54 yards; how many yards are there in a mile ?

. Ans. 1760. 3. Sold a ship for 11516 dollars, and I owned f of her; what was iny part of the money?

Ans. $8637. 4. In 276 barrels of raisins, each 3) cwt. how many hundred weight?

Ans. 966 cut. 5. In 36 pieces of cloth, each piece containing 241 yards ; how inany yards in the whole ? Ans. 873 yus. 6. What is the product of 161 multiplicd by itself:

Ans. 25921. 7. If a man spends 492 dollars a year, what is that per calendar month?

Ans. $11. 8. A privateer of 65 men took a prize, which being equally divided among them, announted to 1191. per man: what is the value of the prize ?

Ans. 67735. 9 What number inultiplied by 9, will make 225 ?

. Ans. 25. 10. The quotient of a certain number is 457, and the divisor 8; what is the dividend ?

Ans. 3656. 11. what cost 9 yds, of cloth, at 3s. per yard ?

Ans. 27s. 12. What cost 45 oxen, at8l. per head ? Ans. £360

13. What cost 144 lb. of Kndigo, at 2 dols. 50 cts. or 250 cents per lb. Jłms. $360.

14. Write down four thousand six hundred and seventeen, multiply it by twelve, divide the product by nine, and add $65 to the quotient, then from that sum subtract five thousand five hundred and twenty-one, and the re mainder will be just 1000. Try it and see.

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COMPOUND ADDITION,

Is the adding of several numbers together, having, qis. ferent denominations, but of the same generic kind, as pounds, shillings and pence, &c. Tonshundreds, quarters, &c.

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1. Place the numbers so that those of the same denom

ination may stand directly under each other.

2. Add the first column or denomination together, as in whole numbers; then divide the sum by as many of the same denomination as make one of the next greater; setting down the remainder under the column added, and carry the quotient to the next superior slenomination, continuing the same to the last, which add, as in simple addition.

1. STERLING MONEY,

Is the money of account in Great-Britain, and is reckoned in Pounds, Shillings, Pence and Farthings. See the Pence Tables.

* The reason of this rule is evident: For, addition of this money, as 1 in the pence is equal to 4 in the farthings; 1 in the shillings, to 12 in the pence; and 1 in the pounds, to 20 in the sailings; therefore carrying as directed, is the arranging the money, ising from each column, properly in the scale of denominations; and this reasoning will hold good in the addition of compound uumbers of any denomination whatever.

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