25. Multiply 46700 by 60103. 26. Multiply 83000 by 10007. 27. Multiply 40009 by 40009.

2806810100.

830581000.

1600720081.

28. What cost 14 barrels of apples at 3 dollars per barrel ? Ans. 42 dollars. 29. What cost 17 tons of hay at 18 dollars per ton?

Ans. 306 dollars.

30. What cost 47 cords of wood at 7 dollars per cord?

Ans. 329 dollars.

31. What cost 47 hogsheads of molasses at 13 dollars per hogshead?

Ans. 611 dollars.

Ans. 2813 dollars.

32. What cost 97 oxen at 29 dollars each?

33. Sold a farm containing 367 acres, what was the amount at 97 dollars per acre? Ans. 35599 dollars. 34. An army of 17006 men receive each 109 dollars as their annual pay; what is the amount paid the whole army? Ans. 1853654 dollars. 35. If a mechanic deposit annually in the Savings Bank, 407 dollars, what will be the sum deposited in 27 years ? Ans. 10989 dollars. 36. If a man travel 37 miles in one day, how far will he travel in 365 days? Ans. 13505 miles. 37. If there be 24 hours in one day, how many hours in 365 days? Ans. 8760 hours. 38. How many gallons are in 87 hogsheads, there being 63 gallons in each hogshead? Ans. 5481 gallons. 39. If the expenses of the Massachusetts Legislature be 1839 dollars per day, what will be the amount in a session of 109 days? Ans. 200451 dollars. 40. If a hogshead of sugar contains 368 pounds, how many pounds in 187 hogsheads? Ans. 68816 pounds.

Section 5.

DIVISION.

MENTAL EXERCISES.

1. A gentleman divided 6 apples between 2 boys; how

many

did each receive?

2. A farmer received 8 dollars for 2 sheep; what was the price of each ?

3. A man gave 15 dollars for 3 barrels of flour; what was the cost of each barrel?

4. A lady divided 20 oranges among her 5 daughters; how many did each receive?

5. If 4 casks of lime cost 12 dollars, what is the value of 1 barrel ?

6. A laborer earned 48 shillings in 6 days; what did he receive per day?

7. A man can perform a certain piece of labor in 30 days; how long will it take 5 men to do the same?

8. When 72 dollars are paid for 8 acres of land; what cost 1 acre? What cost 3 acres?

9. If 21 pounds of flour can be obtained for 3 dollars, how much can be obtained for 1 dollar? How much for 8 dollars? How much for 9 dollars?

10. Gave 56 cents for 8 pounds of raisins; what cost 1 pound? What 7 pounds?

11. If a man walk 24 miles in 6 hours, how far will be walk in 1 hour? How far in 10 hours?

12. Paid 56 dollars for 7 hundred weight of sugar; what cost 1 hundred weight? What cost 10 hundred weight? 13. If 5 horses will eat a load of hay in one week, how long would it last one horse?

14. In 20, how many times 2? How many times 4? How many times 5? How many times 10?

15. In 24 how many times 3? How many times 4 ? How many times 6? How many times 8 ?

16. How many times 7 in 21? In 28? In 56? In 35? In 14 ? In 63 In 77? In 70 ?/ In 84 ?

17. How many times 6 in 12? In 36? In 18? In 54 ? In 60? In 42? In 48? In 72? In 66 ?

The pupil will now perceive, that

DIVISION is a short or compendious way of performing Subtraction.

Its object is to find how often one number is contained in another. It consists of four parts, the dividend, or number to be divided; the divisor, the number we divide by; the quotient, which shows how many times the divi-sor is contained in the dividend; and the remainder, which is always less than the divisor, and of the same name of the dividend.

I. When the divisor is less than 13, the question should be performed by

SHORT DIVISION.

1. Divide 7554 dollars equally among 6 men.

Dividend.

Divisor 6)7 5 54
Quotient 1259

In performing this question, inquire how many times 6, the divisor, is contained in 7, which is 1 time, and 1 remaining; write the

1 under the 7, and suppose 1, the remainder, to be placed before the next figure of the dividend, 5; and the number would be 15. Then inquire how many times 6, the divisor, is contained in 15. It is found to be 2 times, and 3 remaining. Write the 2 under the 5, and suppose the remainder, 3, to be placed before the next figure of the dividend, 5; and the number would be 35. Inquire again how many times 35 will contain the divisor, 6. It is found to be 5 times, and 5 remaining. Write the 5 under the 5 in the dividend, and suppose the remainder, 5, to be placed before the last figure of the dividend, 4; and the number would be 54. Lastly, inquire how many times 54 will contain the divisor, 6. It is found to be 9 times, which we place under the 4 in the dividend. Thus we find, that each man will receive 1259 dollars.

From the above illustration we deduce the following

RULE.

See how many times the divisor may be contained in the first figure or figures of the dividend, and place the result immediately under that figure; and what remains suppose to be placed directly before the next figure of the dividend; and then inquire how many times these two figures will contain the divisor, and place the result as before; and so proceed until the question is finished.

16. Divide 944,580 dollars equally among 12 men, and what will be the share of each ? Ans. 78,715 dollars. 17. Divide 154,503 acres of land equally among 9 perAns. 17,167 acres.

sons.

18. A plantation in Cuba was sold for 7,011,608 dollars, and the amount was divided among 8 persons. What was paid to each person? Ans. 876,451 dollars.

25. A prize, valued at 178,656 dollars, is to be equally divided among 12 men; what is the share of each? Ans. 14,888 dollars. 26. Among 7 men, 67,123 bushels of wheat are to be distributed; how many bushels does each man receive ? Ans. 9,589 bushels.

27. If 9 square feet make 1 square yard, how many yards in 895,347 square feet? Ans. 99,483 yards. 28. A township of 876, 136 acres is to be divided among 8 persons; how many acres will be the portion of each? Ans. 109,517 acres. 29. Bought a farm for 5670 dollars, and sold it for 7896 dollars, and I divide the net gain among 6 persons; what does each receive? Ans. 371 dollars. 30. If 6 shillings make a dollar, how many dollars in 7890 shillings?

Ans. 1315.

II. When the divisor exceeds 12, the operation should be performed by

LONG DIVISION,

as in the following question.

31. A gentleman divided equally among his 19 sons, 4712 dollars; what is the share of each?