Divisor, Div. Quotient. 472)251104(532 95)85595(901 736)863256(172 there remains 664 9. Divide 1893312 by 912. 10. Divide 1893312 by 2076. 11. Divide 47254149 by 4674. 12. What is the quotient of 4207 ? Ans. 2076. Ans. 101104", 330098048 divided by 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 38473 can you have in 119184693? Ans. 30973388. 16. Divide 280208122081 by 912314. MORE EXAMPLES FOR EXERCISE. Divisor. Dividend. Quotient 307140, 131 Remainder. 9182 234063)590624922( Quotient)83973 47614)327879186( 987654 988641654 CASE II. When there are cyphers at the right hand of the divisor; 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 remainder (if any) annex those figures cut off from the dividend, and you will have the true remainder. EXAMPLES. 1. Divide 4673625 by 21400. 214(00)46736)25(218,842 true quotient by Restitution. 428. 393 214 1796 1712 8425 true rem. 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 result under, and carry as many tens to the next figure as there are ones over. Divide every figure in the saine manner till the whole is finished. Contractions in Division. When the divisor is such a number, that any two figures in the Table, being multiplied together will produce it, divide the given dividend by one of those figures; the quotient thence arising by the other; and the last quotient will be the answer. NOTE. The total remainder is found by multiplying the last remainder by the first divisor, and adding in the first remainder. Cut off as many figures from the right hand of the dividend 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. SUPPLEMENT TO MULTIPLICATION. To multiply by a mixt number; that is a whole number joined with a fraction, as 81, 51, 62, &c. RULE. Multiply by the whole number, and take,,, &c. of the multiplicand, and add it to the product. Ans. $136 1. What will 93 tons of hay come to, at 14 dollars a ton ? 2. If it takes 320 rods to make a mile, and every rod contains 5 yards; how many yards are there in a mile? Ans. 1760. Ans. $8637. 3. Sold a ship for 11516 dollars, and I owned of her; what was my part of the money ? 4. In 276 barrels of raisins, each 33 cwt. how many hundred weight? Ans. 966 cwt. 5. In 36 pieces of cloth, each piece containing 241 yards; how many yards in the whole? Ans. 873 yds. 6. What is the product of 161 multiplied by itself? Ans. 25921. 7. If a man spends 492 dollars a year, what is that per calendar month? Ans. $41. 8. A privateer of 65 men took a prize, which being equally divided among them, amounted to 1197. per man; what is the value of the prize? Ans. £7735. 9. What number multiplied by 9, will 10. The quotient of a certain number is divisor 8; what is the dividend? 11. What cost 9 yards of cloth, at make 225? Ans. 25. 457, and the Ans. 3656. 3s. per yard? Ans. 27s. Ans. £360 12. What cost 45 oxen, at 87. per head? 13. What cost 144 lb. of Indigo, at 2 dols. 50 cts. or 250 cents per lb. Ans. $360. 14. Write down four thousand six hundred and seventeen, multiply it by twelve, divide the product by nine, and add 365 to the quotient, then from that sur subtract five thousand five hundred and twenty-one, and the remainder will be just 1000. Try it and see. COMPOUND ADDITION, Is the adding of several numbers together, having different denominations, but of the same generic kind, as pounds, shillings and pence, &c. Tons, hundreds, quarters, &c. RULE. 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 denomination, 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 shillings; therefore carrying as directed, is the arranging the money, arising from each column, properly in the scale of denominations; and this reasoning will hold good in the addition of compound numbers of any denomination whatever. |