121. When the divisor is a composite number. RULE. Divide the given compound number by one of the component parts, and that quotient by the other, the last quotient will be the answer, when there are only 2 component parts; if there are more than two, divide successively by them all, and the last quotient will be the answer.

To prove the operation, change the order of the divisors as in Art. 103.

72. Divide 371. 12s 5d. by 16, several ways.

73. Divide 300i. 10s. 6d. by 210, or 3×7 × 10.

Rem. 2×7+3×10+7=177.

74. Divide 1687. 16s. 7d. by 14. Quot. 12l. 1s. 2d.4.

75. Divide 42l. 1s. 6d. by 54. 76 Divide 4097. 13s. by 144.

Quot. Ol. 15s. 7d.

Quot. 21. 16s. 10d..

77. Divide 6751. 5s. 5d. by 240.

Quot. 21. 16s. 3d. 22 rem.

78. Divide 19lb. Ooz. 19dwt, 9gr. by 15. Quot. 1lb. 3oz. 5dwt. 7gr.

79. Divide 128tuns, 1hhd. 60gal. 3qt. by 27. Quot. 4tuns,

3hhd. 2gal. 1qt.

80. Divide 1185qr. 7bu. 2pk. Ogal. by 132. Quot. 8qr. 7bu. 3pk. Igal.

122. When the divisor consists of a number with ciphers to the right hand.

RULE. Divide by the significant figures only, without regarding the ciphers, and from the highest denomination of the quotient, cut off by a small line as many of its right hand figures as there are ciphers in the divisor. Reduce these right hand figures to the next lower denomination, taking in the figures of the same denomination from the said quotient. Cut off from the right of this number as many figures as there are ciphers in the divisor, reduce these to the next lower denomination, cut off, &c. and proceed in this manner through all the denominations; the numbers on the left hand of the cutting off lines being placed in order will be the quotient required.

81. Divide 379217. 2s. Sd. by 9000.

OPERATION.

L. S. d.

9)37921 2 4/213 9

20

4/269

12

3230

4

0921

Explanation.

84(because there are 3 ciphers, I cut off 3 figures, viz. 213, I first divide by 9, neglecting the ciphers; then, 24 from the left of the pounds; this number I reduce to shillings, taking in the 9; from the shillings in like manner I cut off 3 figures, viz. 269, which I reduce into pence, taking in the 2; from the result I cut off 230, which I reduce into farthings, taking in the 1; and cut off 921, which is the remainder, and the left hand numbers cut off placed in order constitute the quotient.

Quotient 4l. 4s, 3d. 921 rem.

83. Divide 670l. 12s. 6d. by 600.

Quot. 11. 2s. 4d.j.

84. Divide 332l. 15s. by 80. Quot. 4l. 3s. 2d.4.

85. Divide 54321yd. 3qr. In. by 11000. Quot. 4yd. 3qr. 3n.

13 rem.

86. Divide 158tons, 11cwt. 2qr. 13lb. by 100. Quot. Iton, 11cwt. 2qr. 24lb. 21 rem.

123. When the divisor is any number greater than 12. RULE. Divide the highest denomination, and place the quotient on the right hand, exactly like common Long Division. Reduce the remainder (if any) to the next lower denomination, taking in the figures which are of the same denomination. Divide this number, the quotient will be of the same denomination with it. Reduce the remainder, take in, divide, &c. until the whole is finished.

87. Divide 12345l. 6s. 7d. by 215.

OPERATION.

L. s. d. L. s. d.

215)12345 67(57 S 4%

1075

1595

1505

90

20

1806

1720

86

12 1039

860

179

4

719

Explanation.

Having divided the pounds, the quotient is 57, and the remainder 90; this latter I multiply by 20, and take in the 6; I then divide the result, viz. 1806, and the quotient 8 is shillings; the remainder 86 I multiply by 12, and take in the 7; the result, viz. 1039, I divide, and the quotient 4 is pence; the remainder 179 I multiply by 4, and take in the 3; the result I divide, and the quo tient 3 is farthings.

645

74