Divisor, Div.Quotient. 95)85595(901 61)286097469 736)863256(1172 472)251104(532 there remains 664 9. Divide 1893312 by 912. Ans. 2076. 10. Divide 1893312 by 2076. Ans. 912. 11. Divide 47254149 by 4674. Ans. 10110707 12. What is the quotient of 330098048 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 38473 can yer have in t191846.13? Ans. 3097114. 16 Divide 280208122081 by 912314. Quotient s07140 ST Renainder. 9182 987654)988641654 0 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 EXAMPLES 4673625 214(00)46756)25(218,494 true quotient by Restitution. 428.. 393 214 1796 171 8425 true rem. . 1 Ans. 1318 goro 2 Divide 379432675 by 6500 Ans. 583741476 3. Divide 421400000 by 49000. Ans. 8600 4. Divide 11659112 by 89000 5. Divide 9187642 by 9170000. MORE EXAMPLES. Remains. 176478 901000)6543472 300 )221230 720000)9876540000 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 er 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 roanner till the whole is finished. Contractions in Division. When the divisor is such a number, that any two figares 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. 22587 2258-8 63 Arst rem. +2 True Quotient 225841 True rem. 65 2. Divide 178464 by 16. Ans. 11154 3. Divide 467412 by 24. Ans. 1947511 4. Divide 942341 by 35. Ans. 269249's 5. Divide 79638 by 36. Ans. 2212 6. Divide 144872 by 48. Ans. 301876 7. Divide 937387 by 54. Ans. 17359 & Divide 93975 by 84. Ans. 111811 9. Divide 145260 by 10% Ans. 1345 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 80 cut off are the remainder; and the other figures of the dividend are the quotient. EXAMPLES 1. Divide 365 by 10. Ans. 36 and 5 remains 2. Divide 5762 by :00. Ans. 57 3. Divide 763753 by 1900. Ans. 763 - 753 rein. 62 rem. C SUPPLEMENT TO MULTIPLICATION. To multiply by a mixt number; that is a whole num ber juired with a fraction, as 81, 51, 63, &c. RULE. Multiply by the whole number, and take 4, 5, 1, &c. of the Multiplicand, and add it to the product. EXAMPLES . Multiply 37 by B. Multrply 48 by 23. 2)57 48 231 23 181 111 74 24= 123} 96 8691 Answer. 132 Ans. 3. Multiply 211 by 50% Ans. 10655$ 4. Multiply 2464 by 8t: Ans 205334 5. Multiply 345 by 191. Ans. 6598 6. Multiply 6497 by 54. Ans. $34134 Questions to E.rercise Multiplication and Division. 1. What will 93 tons of hay come to, at 14 dollars a ton? Ans. 81361. 2. If it takes 320 rods to make a mile, and every rod contains 54 yards; how many yards are there in a mile? Ans. 1760. 3. Sold a ship for 11516 dollars, and I owned f of her; what was my part of the money ? Ans. 88637. 4. In 27ð barrels of raisins, each 34 cwt. how many hundred weight? Ans. 966 cwt. 5. In 36 pieces of cloth, each piece containing 24} yards; how many yards in the whole ? Ans. 873 yds. 6. What is the product of 161 multiplied by itself? Ans. 25921. 7. If a man spends 492 dollars a year, what is that per calendar month? Ans, 811, 8. A privateer of 65 men took a prize, which being equally divided among them, atsiunted to 1191. per man; what is the value of the priz: Ans. £7755. 9 What number multiplied by 9, will make 225 Ans. 25.; 10. The quotient of a sertain number is 457, and the divisor 8; what is the dividend ? Ans. 3656. 11. what cost 9 yds. of cloth, at 3s. per yard ? Ans. 27$. 12. What cost 45 oxen, al. per head ? Ans. £360. 13. What cost 144 lb. of Indigo, at 2 dols. 50 cts. or 250 cents per 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 sum subtract five thousand five hundred and twenty-one, and the re mainder will be just 1000. Try it and see. COMPOUND ADDITION, Is the adding of several numbers together, having arferent denominations, but of the same generic kind, as pounds, shillings and pence, &c. Tons, hundreds, quar ters, &c. RULE.* 1. Place the numbers so that those of the same denomination 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 I 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 saillings; therefore carrying as directed, is the arranging the money, arising from each column, properly in the scale of denominations; and this reasoning will hold goed in the addition of comnound uumbers of any denomination whateter. |