Teaches to find how often one number is contained in another of the same denomination; or to find a quotient which multiplied into the divisor will produce the dividend. The number to be divived, is called the DIVIDEND. The number of times the dividend contains the divisor, is called the QUOTIENT. N 1. Assume as many figures on the left hand of the dividend ascontain the divisor once or oftener; find how many times they contain it, and place the answer on the right for the first figure of the quotient. 2. Multiply the divisor by the figure you have found, and place the product under that part of the dividend from which It was obtained. 3. Subtract the product from the figures above it; then bring down the next figure of the dividend and place it at the right hand of the remainder; divide the number it makes up as before, and proceed in this mammer until the whole is finished. Divide 1893312 by 912, Ans. 2076. 1893312 by 2076, Ana. 912. How often does 761858465 contain 90001? Ans. 8465. To divide when there are cyphers at the right hand of the divisor. RULE. Cut off the cyphers from the divisor, and just the same number of digits from the right of the dividend; then divide the remaining figures as usual, the quotient will be the answer. * Add the remainder and all the products of the several quotient figures (multipled by the divisor) and the sum, if the work be right, will be equal to the dividend. To the remainder (if there be any) annex those figures cut offfrom the dividend, and you will have the true remainder. Find how many times the divisor is contained in the first figure or figures of the carry as many tens to the Dividend 1. Divisor 3)764329 Quotient dividend, place the result under, and next figure as there are ones over. EXAMPLES. 254776-1 rem. (3) (2) 283538 (4) (5) (6) (7) (8) When the divisor is a composite number, or the product of two or more numbers in the TABLE. RULE. Divide successively by the component parts of the given divisor. 1. Divide 9125 by 25. EXAMPLES. 5X5 25; the component parts of the given divisor then, are 5 and 5. Thus, Cut off so many figures from the right of the dividend, as there are cyphers in the divisor;-that part cut off from the dividend is the remainder, the other figures in the dividend are the quotient. (1) EXAMPLES. Divide 600065 by 1000 1(000)600)065(600 quotient, and 65 remainder. 2. Divide $65 by 10. Ans. 36 and 5 rem. *The total remainder is found by multiplying the last remainder by the first divisor, and adding in the first remainder. SUPPLEMENT TO MULTIPLICATION. To multiply by a mixed number, that is a whole number and a fraction. RULE. Multiply by the whole number, and take,,, &c. of the multiplicand, and add it to the product. Practical Questions in Multiplication and Division. 1. In 36 pieces of broad cloth each containing 24 yds. how many yds.? Ans. 873 2. What is the product of 430 multiplied into itself? Ans. 184900 3. What number multiplied by 9 will make 225 ? Ans. 25 4. What cost 9 yds. cloth at $7 pr. yd? 5. If a man spend $600 pr. year, what month? 6. Sold a ships cargo for $7940, required to find 1-4 of the amount ? 7. The quotient of a certain number is 11940, and the divisor 20, what the dividend? 8. How many feet are there in a mile, or 320 rods, allowing each rod contains 16 feet? 9. How many yards in a mile, if 54 yds. Ans. 1985 Ans. 238800 Ans. 5280 make one rod? Ans. 1760 10. How many yards of broadcloth, at $74 per. yd. may be bought for 37 yds. of do. at $ 34 per. yrd.? Ans. 18 yrds. |