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43. Divide 901944 by 9, and prove the answer. 44. Divide 30068 by 4, and prove the answer.

45. Divide 690030 by 5.

46. Divide 84120 by 6.

47. Divide 47051 by 7.

48. Divide 18443 by 8. The remainder must be added to the product of the quotient and divisor, in the proof.

49. Divide 9288 by 9.

50. Find how many times 7 is contained in 63631. 51. Find how many times 4 is contained in 27.0042. 52. Find how many times 66.093 contains 5. 53. Find how many times 84.0014 contains 6.

EXAMPLE FOR THE BOARD.

If a labourer receives $22.86 for 15 days' work, how much does he receive per day?

Divisor.

Dividend.

Quotient.

15) 22.86 (1.52

15..

78.

75.

36

30

6

This example is solved in the same manner as the foregoing, but the multiplications and subtractions that we have previously performed in our minds, are here written down. We say, 15 in 22 units, 1 time. Write 1 in the quotient, and subtract 1 time 15 from 22. To the remainder, 7, annex the 8 tenths, and say, 15 in 78, 5 times. Write the 5 in the quotient, and subtract the product, as before. To the remainder, 3, annex the 6 hundredths, and proceed as before. The quotient is 1.52, and the remainder 6. This mode of dividing is called Long Division, to distinguish it from the former method, which is called Short Division.

Show the pupil how to prove Multiplication and Division. 54. A journeyman charged $19.75 for making 21 pairs of boots. How much did he charge per pair? 55. If 14 horses eat 6.338 pecks of oats in a week, how much will 1 horse eat in the same time?

56. If a cart-wheel turns round 4681 times, in going 13 miles, how many times will it turn in 1 mile?

57. James distributed 1975 chestnuts among 25 boys. How many did he give to each?

58. A clock strikes 4680 times in 30 days. How many times does it strike in 1 day?

59. If a ship is worth $15500.00, what is of it worth?

60. A man purchased a farm for $960.75, and sold of it for what it cost him. How much did he receive?

61. If I pay $34.56 for 33 bushels of wheat, how much must I pay for 1 bushel?

62. A merchant sold 45 pounds of indigo for $48.75. How much did he receive per pound?

63. What is of a cargo of sugar worth, the whole cargo being valued at $4608.25?

64. An estate of $2559.73 was divided equally among 29 persons. What was the share of each? 65. Divide 11988.4 by 63.

66. Divide 448.7009 by 81.

67. Divide 1488.07 by 109.
68. Divide 3944.56 by 140.

69. What is the quotient of 799.8043 by 151 ?
70. What is the quotient of 6073298 by 203?
71. What is the quotient of 2597.441 by 234?
72. What is the quotient of 444.763 by 221?

73. The quantity of water discharged by the Falls of Niagara, has been estimated at 6000000 gallons per second. If this estimate is correct, how many hogsheads, each holding 139 gallons, could be filled by the cataract in one second?

EXAMPLE FOR THE BOARD.

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The quotient, when the divisor and dividend are of the same denomination, (i. e. units, tenths, hundredths, &c.) will always be whole numbers. By annexing 3 Os to 36.3, both divisor and dividend will represent ten thousandths; and the quotient, 21352, will be whole numbers. If we continue to add Os, and extend the division, the quotient figures so obtained will be decimals.

Always have at least as many decimal places in the dividend as there are in the divisor. Point off as many decimals in the quotient as there are in the dividend more than in the divisor.

74. Divide 24 by .012.

75. Divide .0072 by 2.4.

In this example, Os

must be prefixed to the quotient, to make the re

quired number of decimals.

76. Divide .011 by .33.
77. Divide 17.9 by .042.
78. Divide 8.0062 by .0037.
79. Divide .0008 by 240.
80. Divide .000078 by 156.
81. Divide 78 by .0000156.
82. Divide 489 by 1.76.
83. Divide 1.08 by .072.

84. Divide 6641 by .6641.

85. If 3.05 yards of sheeting cost $0.377, what is the price per yard?

86. What is the price of a yard of calico, if 4.091 yards cost $0.511375?

87. How many kegs of butter can I buy for $198.875, if I pay $5.375 per keg?

88. How much molasses at $0.375 per gallon, can be bought for $15.00?

89. A piece of satin, measuring 29.44 yards, cost $47.50. What was it worth per yard?

90. If a labourer receives $27.76 a month, how much can he spend every day, without saving any of his wages?

91. A ship's crew of 29 men, received $776.84 to be divided equally among them. What was each man's share?

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7.0
7.0

When there are Os at the right-hand of the divisor, we may cut them off, and remove the decimal point in the dividend as many places to the left as we cut off Os. 1300.

Divide 27506 by 13/00) 275.06 (21

26

15

13

1300 is equal to 13 times 100. Cutting off the Os from the divisor, and removing the decimal point of the dividend two places to the left, divide each number by 100, because the figure which before represented hundreds, will represent only units. Then, dividing 275.06 by 13, the other factor of the divisor, we have a quotient of 21, and a remainder, 2.06. Removing the decimal point in the remainder to its original place, we have 206 for the true remainder.

2.06

91. What is the quotient of 779811 by 800? 92. What is the quotient of 140873 by 76000 ? 93. What is the quotient of 5591.07 by 430? 94. What is the quotient of .071 by 5000? 95. What is the quotient of 1.85 by 6200? 96. What is the quotient of 99.08 by 370000? 97. What is the quotient of 628 by 4100? 98. What is the quotient of .5056 by 330? 99. What is the quotient of 469.5 by 72000? 100. What is the quotient of .0087 by 1900? 101. Divide 428.3 by 24, using factors of the divisor.

102. Divide 9.112 by 63, using factors of the divisor.

103. Divide .5703 by 36. 104. Divide .0091 by 15.

105. Divide 284.7 by 64. 106. Divide 766.08 by 72. 107. Divide 21194 by 42. 108. Divide 38129 by 25. 109. Divide .063819 by 49. 110. Divide .0007 by 27. E

111. If an acre of land yields 43.7 bushels of corn, how many acres will yield 779.4 bushels?

112. When potatoes are $0.25 a bushel, how many bushels can be bought for $66.39 ?

113. If 2.77 pounds of butter will purchase a barrel of charcoal, how many barrels can be bought with 38.4 pounds?

114. A ship has casks for water, that hold 47.93 gallons apiece. How many casks will hold 618 gallons?

115. Find 7 of 55.132.

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