KEY TO CARD No. 23. The figures in our quotient amount to 4962, which is the answer to the question. How many times 16 in 79392? Answer, 4962 times. If 16 ounces make 1 pound, then 32 ounces will make 2 pounds; because we can have twice 16 in 32. Forty-eight ounces make 3 pounds; because we can have 3 times 16 in 48. Sixty-four ounces make 4 pounds; because we can have 4 times 16 in 64. Eighty ounces make 5 pounds; because we can have 5 times 16 in 80. And 79392 ounces make 4962 pounds; because we can have 4962 times 16 in 79392. Let the class write these observations several times on their slates. They will thereby obtain an idea of a part, and by degrees understand the whole. As the spears of grass and herbs, imperceptibly make their daily growth; so our knowledge increases by small portions, till we become masters of many valuable arts. LESSON 2. If 48297 cents are to be divided between 17 boys, how many may each one have? 17)48297(2841 34 142 136 ..69 68 17 17 First. I say how many times 17 in 48? twice; set 2 in the quotient, and multiply the divisor by 2-the product is 34, which place under 48; then subtract 34 from 48, and there remain 14-Bring down the next figure from the dividend, viz. 2, and place it on the right hand side of 14, which makes 142. Second. How many times 17 in 142? by the Ta KEY TO CARD No. 23. ble I find 8 times; set 8 in the quotient, and multiply 17 by 8-place the product under 142-subtract, and 6 remain. Now bring down the next figure 9 from the dividend, and place it on the right of 6, makes 69. Third. How many times 17 in 69? 4 times; set 4 in the quotient, and multiply the divisor 17 by 4-place the product under 69-subtract it from 69 and there remains 1-to the right of this 1, bring down 7 the last figure in the dividend, makes 17. Fourth. I say 17 in 17-once-set 1 in the quotient, and say once 7 is 7-once 1 is 1 makes 17 to place under 17-subtract, and 0 remains-place your periods under 17, and the les son is done. Answer, 2841 cents for each boy. LESSON 3. In 98688 hours, how many days? NOTE. Twenty-four hours make one day. 24)98688(4112 96 .26 24 .28 24 .48 First. See how many times 24 are in 96.-In order to guess at the number of times, find how many times the first figure in the quotient is contained in the first figure of the dividend, that is, how many times 2 in 9? 4 times therefore set 4 in the quotient, and multiply the divisor 24 by 4. Place the product under 98-subtract— the remainder will be 2-bring down the next figure of the dividend, 6, to the right side of the 2, makes 26. Second. How many times 24 in 26 ? once-set 1 in the quotient, KEY TO CARD No. 23. and multiply the divisor 24 by 1-once 4 is 4-once 2 is 2 -place this product under 26-subtract-the remainder is again 2 as before-to the right side of this remainder 2, place the next figure in the dividend, 8, makes 28. Third. How many times 24 in 28 ? once-place 1 in the quotient and multiply the divisor again by 1-place the product under 28-subtract-the remainder is 4-to the right side of this remainder 4, set the next and, last figure of the dividend, 8-this makes 48. Fourth. How many times 24 in 48 ? twice-set 2 in the quotient, and multiply 24 by 2-set the product under 48-subtract -0 remains-place two periods under 48-the task is done. The quotient is the answer, 4112 days. Here we find that 24 is contained 4112 times in 98688. LESSON 4. See Card 24, for proof. Divide 418392 Dollars between 78 men, what is each man's share? 390 78)418392(5364| In the first place see how many times. 78 in 418-take the first figure of the Divisor and the two first of the Dividend, and see how many times 7 in 41-I can have 5 times 7 in 35-by this I find that 5 may be safely set in the quotient. 283 234 499 468 312 312 Now multiply 78 by 5 and place the product under 418-subtract-the remainder is 28. Bring down the next figure of the dividend, 3-set it on the right side of 28, makes 283. Second. How many times 78 in 283? In order to guess at the number of times,. say how many times 7 in 28-4 times; but as the unit figure in the divisor is a high number, viz. 8, I will make an allowance of 1 and say only 3 times. KEY TO CARD No. 23. Set 3 in the Quotient and multiply the divisor 78 by 3— Place the product under 283-subtract-the remainder is 49-to the right of this remainder set the next figure of the dividend, 9, makes 499. Third. How many times 78 in 499? how many times 7 in 49 for a guess-7 times; but as the unit figure in the divisor is great, make an allowance of 1 and say 6 times. Set 6 in the Quotient and multiply the divisor 78 by 6Set the product under 499-subtract-the remainder is 31; to the right side of this remainder, bring down the next and last figure of the dividend, viz. 2-this makes 312. How many times 78 in 3122 how many times 7 in 31-4 times and several over; there venture to set 4 in the quotient. Multiply the divisor 78 by 4-set the product under 312-subtract-the remainder is 0-set three periods under 312 and the lesson is ended, We find in the quotient 5364, which is the number of dollars for each man or answer. NOTE. When the remainder is as great, or greater than the divisor, the quotient figure must be augmented. LESSON 5. See Card 24, for proof. Divide 651744 by 96. 96)651744(6789 576 .757 672 .854 768 .864 864 First. How many times 96 in 651?—how many times 9 in 65-7 times; but make an allowance of 1 and say 6 times-set 6 in the quotient and multiply the divisor 96 by 6. Set the product under 651-subtractthe remainder is 75-bring down the next figure 7 from the dividend to the right side of 75-this makes 757. How many Second. times 96 in 757 ?—to make KEY TO CARD No. 23. a guess say how many times 9 in 75 ?-8 times-make an allowance of 1 and say 7 times-set 7 in the quotient and multiply the divisor 96 by 7. Set the product under 757-subtract-the remainder is 85-Bring down the next figure 4 from the dividend to the right side of 85-this makes 854. Third. How many times 96 in 854? to make a guess say how many times 9 in 85-9 times; but allow 1 and say 8 times set 8 in the quotient and multiply 96 by 8. Set the product under 854-subtract-the remainder is 86-bring the next and last figure 4 from the dividend, set it on the right of 86, this makes 864. Jrth. How many times 96 in say 9 times-set 9 in the quotient and multiply the divisor 96 by 9-set the product under 864-subtract-the remainder is nothing-the quotient or answer is 6789. LESSON 6. See Card 24, for proof. Divide 977724 by 99, 99)977724(9876 891 .867 792 .752 .594 First. How many times 99 in 977? to make a guess say how many times 9 in 97-it will be contained 10 times; but allow 1 land say 9 times-set 9 in the quotient and multiply 99 by 9-place the product under 977-subtract-the remainder is 86. Bring down the next 7 from the dividend to the right side of 86 makes. 867. Second. How many times 99 in 867? to make a guess say how many times 9 in 86-it will be 9 times; but make an allow |