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When the divisor is 13 or more, it is said to be long division, for then the quotient is placed to the right of the dividend, and the process is conducted at length by Multiplication and Subtraction.

RULE. 1. Place the given terms as in short division, and find how often the divisor will go in the left hand figure or figures of the dividend, and place the result on the right, behind a curved line.

2. Multiply the divisor by the said result, and place the product under that part of the dividend to which the divisor was applied, and subtract.

3. To the remainder, bring down the next figure of the dividend, and see how often the divisor will go, and place this in the quotient.

4. Then multiply and subtract as before, and thus continue through all the figures of the dividend. The proof is by Multiplication.

Thus: (11) Divide 732 by 34, and prove the operation. 34)732(21 Quotient.

68

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21+18 34

92

64

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(18)

(20)

"1625946 by 122. "87234562 by 346.

(19)

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(21) "6298746738 by 62345.

GRAMMAR. LESSON 16.

The Parts of speech, as they occur in order, may be rendered more distinct by referring each, in a concise manner, to the office which it performs. Thus:

1. Noun, a name, and an agent or an object.

2. Article, a limiter, that refers to the noun in limitation. 3. Verb, the act of the agent to which it refers in number and person.

4. Pronoun, in the place of the noun, to which it refers in relation.

5. Adjective, an appendage to the noun, expressing quality or property.

6. Participle, combines the properties of Verb and Adjective, and known by its peculiar termination.

7. Adverb, an appendage to the Verb, expressing manner. S. Conjunction, a connective participle joining words, &c. 9. Preposition, a connective participle, expressing relation and referring to nouns.

10. Interjection, a particle with its appropriate point, expressing an emotion of the mind, indicative of joy, grief, &c, SPELLING. LESSON 17.

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READING.-LESSON 18.

To the child that reads this lesson.
1. Gay is your morn`; and smiling hope
Your sprightly steps attend`;
But soon life's tempests howl behind',
And life's dark nights descend'.

2. Behind its spelndid noon', a cloud',
Crosses your beam of light;

A pilgrim in a desert land',
You tarry but a night`.

3. And stinted are the days that fly',
Successive o'er your head';

The number'd hour is on the wing',
That lays you with the dead'

4. Then strive, my child, to know the Lord';
Your father's God obey`;

He'll keep you through life's troubl'd night',
And bring you endless day.

DIVISION. LESSON 19.

It some times happens that the divisor has one or more cyphers on the right; these may be cut off, provided as many figures at the right of the dividend be cut off also. These, in the end, must be added to the remainder. Thus:

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23. Divide 24606039 by 43000. 24. 116000000 by 17400, Exercises in Division.

25. B. had 3264 miles to travel, and that too in 136 days; how far must he go each day? Ans. 24 miles. 26. A. paid 1040 shillings for 52 weeks' board; what did he pay for each week? Ans. 20 shillings.

27. 8 boys went to gather nuts, and brought home 6488; how many had each? Ans. 811 nuts.

28. Mr. D. pays 976 dollars a year for the use of a farm of 244 acres; what is that an acre? Ans. 4 dollars.

29. A. put his money out for one year, or 356 days, and got for it 2555 dollars; what was that a day. Ans. 7 dolls.

30. B. has 16 bags of coffee, each 120 pounds; and 8 barrels, each 343; he wishes to put them in kegs each 22 pounds; how many kegs must he have? Ans. 212 kegs.

31. G. left at his death, 46646 dollars, and ordered his widow to take 8000 for herself, and divide the remainder equally among her six children; how much will each have? Ans. 6441 dollars.

GRAMMAR.LESSON 29.

The following sentence exhibits all the parts of speech arranged in order, and forming complete sense.

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The gift of speech is a faculty peculiar to man, hence, he is

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8 10 4 7

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bound to use it wisely, but, alas! he daily perverts it.

It must be remembered that the same word is not always the same part of speech. From the relation which they sustain, and the situation which they occupy in the sentence into which they are introduced, the same word is often made to exchange offices and names, and perform a variety of parts, all tending however, to promote the agreement, and perfect the members which immediately form the sentence. All this will be made perfectly clear and familiar as the subject advances towards the rules of syntax.

NOTE. Allow me to submit one word of advice to the young pupil, which is, never to advance a word in any branch of study, beyond what you do not comprehend. Clear up every obscurity and difficulty, as you progress; understand distinctly as you proceed, and remember what you understand. For this purpose, bring into action the powers of your own mind, and the faculties of your memory.

Questions on the sixteenth chapter.

READING EXERCISES.

Les. 2. What is said of Time? In what sense is it brief? What of the stages of man's life? Repeat the verse? What of the past, the future, the present? How is the present to be used?

Les. 6. Relate some of the objects to which time in brevity is likened. Which appears the most natural? Which the handsomest? Why? What admonition does it convey?

Les. 10. What is time to tell the child, &c.? What several things is time to inform the child? What does time bid the child do? Can time speak? Why?

Les. 14. Can you repeat the lines in this lesson? What is meant by an archer's arrow, and shooting star? How do we begin to die when our life begins?

Les. 18. What attends the steps of the child in youth? What soon follows? What comes in the rear of life's noon? To what are you likened? What is remarked of your days, and your last hour? What advice is finally given?

ARITHMETICAL EXERCISES.

Les. 3. How do you state the first question? How work it? How prove it? How state the fifth question? How work How prove it?

it?

Les. 7. What does division show? How many and what terms? What constitutes the remainder! When is the operation called short division, and why? What the 1st step in stating? The 2d? The 3d? What the 4th? What the proof?

Les. 11. How multiply by 10, 100, 1000, &c.? When the divisor is more than 12, how is the quotient placed? What the 1st step in stating? What the 2d? What the 3d? What the 4th? What the proof? What of cyphers on the right?

GRAMMATICAL EXERCISES.

Les. 4. What is the 8th part of speech? Its office? Character? Example? Application? How is the conjunction known?

Les. 8. What is the 9th part of speech? Its office? Character? Example? Application? How may the preposition be known?

Les. 12. What is the 10th part of speech? What its use? Character? Examples? How is the Interjection known? Les. 16. How is the noun known? The article? The verb The pronoun? The adjective? The participle? The adverb?

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