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DIVISION.

63. 1. John has 8 apples; how many times 2 apples has he?

2. James and his brother together have 10 apples; if they share them equally, how many will each have?

3. How many times 2 in 8? In 10? In 16?

4. If 3 boys have 9 marbles together, and should share them equally, how many would each boy have?

5. Into how many equal groups of 3 marbles each, can 9 marbles be separated?

6. What is one of the 3 equal parts of 9? One of the 4 equal parts of 8?

7. If 4 barrels make a dray-load, how many drayloads will 12 barrels make?

8. How many times 4 barrels in 12 barrels ? 3 barrels in 12 barrels ?

64. One of the two equal parts of a number is called one half.

Thus, one half of 2 apples is 1 apple; of 4 apples is 2 apples.

One of the three equal parts of a number is called one third.

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apple; one fourth of 8 apples is 2 apples. One of the five equal parts of a number is called one

fifth.

One of the six equal parts of a number is called one sixth, etc.

65. Division is finding how many times one number is contained in another; or finding one of the equal parts of a number.

66. The Dividend is the number to be divided.

67. The Divisor is the number by which we divide.

68. The Quotient is the result of a division.

69. The Remainder is the part of the dividend left, when the latter does not contain the divisor an exact number of times.

70. The Sign of Division,, or, means divided by. Thus, 168, or 16: 8, is read sixteen divided by eight.

Division is also indicated by writing the divisor at the left and the dividend at the right of a curve.

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18. How many times 4 in 12? 5 in 10? 3 in 27 ?

8 in 64?

3 in 18?

19. How many times 2 in 16? 6 in 42?

9 in 18?

How many times 7 in 49? 4 in 16?

5 in 50 ?

21. How many times 2 in 8?

6 in 18?

3 in 27 ?

20.

9 in 54 ?

7 in 56 ?

22. How many times 2 in 20? 6 in 36? 9 in 81? 3 in 30?

23. How many times 5 in 15? 8 in 24? 9 in 45? 5 in 40 ?

24. How many times 7 in 63? 8 in 72? 3 in 30? 5 in 35 ?

25. How many times 7 in 28? 8 in 16? 7 in 14? 9 in 63 ?

26. How many times 10 in 80? 6 in 54? 4 in 36? 10 in 100?

27. Divide by 2 from 2 in 2 to 2 in 20.

Solution. - 2 in 2, once; 2 in 4, 2 times; 2 in 6, 3 times; 2 in 8, 4 times; 2 in 10, 5 times; 2 in 12, 6 times; 2 in 14, 7 times;

2 in 16, 8 times; 2 in 18, 9 times; 2 in 20, 10 times.

Divide

28. By 3 from 3 in 3 to 3 in 30.

29. By 4 from 4 in 4 to 4 in 40.

30. By 5 from 5 in 5 to 5 in 50.

31. By 6 from 6 in 6 to 6 in 60.

32. By 7 from 7 in 7 to 7 in 70.

33. By 8 from 8 in 8 to 8 in 80.

34. By 9 from 9 in 9 to 9 in 90.

35. By 10 from 10 in 10 to 10 in 100.

71. A Principle of Division.

The dividend is the product of divisor and quotient.

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Solution. We write the divisor at the left of the dividend with a curve between, and begin at the left to divide.

6 in 8 hundreds, 1 hunWe write the

dred times, and 2 hundreds or 20 tens remain.

1 hundred beneath in hundreds' place, and uniting the 20 tens

with the 5 tens we have 25 tens.

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