COMPOUND DIVISION

Teaches to find how often one number is contained in

another of different denominations.

When the Divisor does not exceed 12.

Examples.

£ s. d.

Divisor 2) 7 9 5 Dividend.

Quotient.. 3 14 8

2 in 7, 3 and 1 over. £1 over= 20s. and 9 (in the dividend) are 29; 2 in 29 are 14 and 1 over. 1s. over 12d. and 5 are 17; 2 in 17,8 and 1 over. 1d. over 4 farthings, 2 in 4, 2.

The Quotient is £3. 14s. 8d.

Method of Proof is by Compound Multiplication.*

EXERCISES.

9d. by 2. 74d. by 3.

4d. by
0ąd. by

4.

5.

Answer, £4. 7s. 41d. Answer, £4. 9s. 6d. Answer, £8. 18s. 10d. +2. Answer, £8. 9s. 4 d. +4.

10d. by 6.

Answer, £3. 5s. 11d.+4.

7.

Answer, £12. 3s. 3d.+5.

8.

94d.+2.

7 d.+1.

1. Divide £8. 14s. 2. Divide £13. 8s. 3. Divide £35. 15s. 4. Divide £42. 7s. 5. Divide £19. 15s. 6. Divide £85. 3s. 3d. by 7. Divide £17. 2s. 44d. by 8. Divide £43. 18s. 10d. by 9. 9. Divide £15. 3s. 74d. by 10. 10. Divide £58. Os. 10 d. by 11. 11. Divide £123. 17s. 9d. by 12.

Answer, £2. 2s.
Answer, £4. 17s.
Answer, £1. 10s.
Answer, £5. 5s. 6d. +8.
Answer, £10. 6s. 5d.

44d. +3.

* These two Examples prove the two in Compound Multiplication-(see

When the Divisor exceeds 12, and has two component

What is Soap per lb. when 56 lb. cost £2. 4s. 4d. ?
Take the component parts, and first divide by
one part, and then the quotient by the other.
Here 8 and 7 are the component parts of 56.

8 times 7-56.

EXERCISES.

12. If 28 pieces of cloth cost £57. 18s. 9d.; what is that per piece? Answer, £2. 1s. 41d.+12. 13. Suppose the wages of 42 labourers for a week come to £75. 15s. 6d. ; what is each man paid? Answer, £1. 16s. 1d.

14. Let £125. 10s. be equally divided between 64 persons; what is the share of each? Answer, £1. 19s. 2 d. +32. 15. What is the value of a hogshead of Beer, when 120 are sold for £148. 5s.? Answer, £1. 4s. 8d.

If the Divisor exceed 12, and has not two component parts.

Another Example. If a person's income be £452. 18s. 6d. what can

Answer, £1. 8s. 6d. +5. Answer, £3. 9s. 6d. +39. Answer, £4. 13s. 93d. +116. Answer, £5. 14s. 04d.+203.

16. Divide £32. 15s. 74d. by 23.
17. Divide £198. 3s. 6d. by 57.
18. Divide £576. 18s. 94d. by 123.
19. Divide £1408. 17s. 8d. by 247.
20. If 61 oxen cost £492. 13s. 84d., what is the price of each?

Answer, £8. 1s. 64d.+45.

21. If 112 lb. of cheese cost £3. 13s. 6d., what is that per lb. ?

Answer, 7 d.+56. 22. A quantity of coffee, weighing 253 lbs., cost £33. 4s. 1 d., what was the cost per lb. ? Answer, 2s. 7 d. 23. Suppose 279 lb. of tobacco cost £23. 18s. 4d., what is that per lb.? Answer, 1s. 8d.+82. 24. Paid £1308. 19s. 74d. for 453 cwt. of cheese, required the charge per cwt.?

30. Divide 42 yrs. 5 mos. 3 wks. 5 dys. by 12.

Answer, 3 yrs. 6 mos. 1 wk. 6 dys.+10.

31. Divide 136 Cwt. 3 qrs. 10 lb. 11 oz. 9 drs. by 23.

Answer, 5 Cwt. 3 qrs. 22 lb. 6 oz. 1 dr.+2.

32. Divide 37 hhds. 23 galls. 3 qts. by 15.

33. Divide 407 yds. 2 qr. 1 nl. by 39.

34. Divide 37 lb. 1 oz. 5 dwts. 22 grs. by 47.

EXERCISES IN THE PRECEDING RULES.

1. Required the difference between one hundred millions, three hundred and seven thousand, and ninety-five-and two millions, and forty-six thousand, three hundred and eight.

2. Divide eight thousand and seventy-three millions, one hundred and sixty-five thousand, two hundred and four, by twenty-seven thousand and ninety-five.

3. A ship was freighted with 14 tons, 17 cwt. 2 qrs. 15 lb. of sugar22 tons, 13 cwt. 0 qrs. 27 lb. of tobacco-3 tons, 8 cwt. 3 qrs. 22 lb. of indigo-3 tons, 16 cwt. 1 qr. 9 lb. of hemp-16 tons, 2 cwt. 3 qrs. 25 lb. of flax-and 7 tons, 17 cwt. 3 qrs. 11 lb. of iron. What was the ship's burden?

4. Express in figures, seventy-five millions, four hundred and three thousand, and fifty-two-three thousand and ninety-one millions, two hundred and sixty-five thousand, and forty-and eight billions, two hundred and three thousand and seven millions, one hundred and eighty-three thousand, two hundred.

5. Required the total value of 18 lb. of sugar, at 81d.-47 lb. of tea, at 6s. 3d.-94 lb. of coffee, at 3s. 5d.-16 lb. of loaf sugar, at 10 d.22 lb. of currants, at 74d.—and 7 lb. of raisins, at 8d.

6. A gentleman's income is 800 guineas; at the end of the year he finds he has expended for rent £125-for taxes, £30. 17s. 9d.butcher's bills, £153. 19s. 3d.-baker's bills, £139. 15s. 11d.grocer's bills, £37. 4s. 5d.-cheesemonger's bills, £23. Os. 94d.— wine-merchant's bills, £47. 8s. 3d.-tailor's bills, £25. 7s.-wages to his servants, £61. 18s.-subscriptions to charitable institutions, 30 guineas-and various petty expences, £15. 2s. 94d.-What has he remaining?

7. £757. 8s. 4 d. are to be divided between 23 men, required the share of each?

8. Lent 100 guineas, and received in return £48. 13s. 34d. What remains due?

9. Add together two hundred and eighty-seven thousand, and fifty-seven-five thousand, four hundred, and eighty-six-thirty-three thousand, five hundred, and ninety-two-one hundred and fortyseven thousand, four hundred, and three-fifty thousand, one hundred, and eighty-six-eight thousand, and five-and four hundred and seventy-three thousand, one hundred, and ninety-six.

10. £5. 13s. 4d. were distributed between 17 men. What was the