Page:Encyclopædia Britannica, first edition - Volume I, A-B.pdf/496

 ARITHMETIC K. 4M Case. III. When a repeating divifor divides a cir- Examp. Divide .962, by .18, = f cdate. 96.-396, .962, Examp. Divide 92.518, by , 92.518, Or rather thus : 925.1 i8)95.3 90 • 39(5<29^ •• 92.5x8, 4)832.^66(208.1^ 53 36 162 93 6 4 26 5 When the circle of the quot is likely to run on to. 24 many places, you may ftop the operation, and complete the quot by a vulgar fraftion ; as in the following example. 34.56097, by 3.592, ='^ Case IV. When a circulate divides a finite divi- Examp.3 •592Divide >) 34560.975-60, dend. 3 34-56097, Examp. Divide 9 by .45 =H' In order to multiply the divi900 3589). 345-26.41463,(9.62ao653i-Hi^i: dend 9 by 99, firrf multiply it 9 32301 by 100, which is done by annexing two ciphers ; and from 45)891(19.8 ■ 2-2254. this produft, fubtrad the divi45 ‘ 21534 dend. 441 7201 Or, 9.6200653 .. ' 405 7178 360 23463 360 The quot would run 21534 on to 49 figures of a Case V. When a circulate divides a repeating di- finite part, and then a 19294 vidend. circle of 65 places ; but J limit it at feven places 7945 Examp. Divide 5.83-by .72, of decimals., and then 13491 583-?3 complete-it by a vulgar 10767 5.83 fradion; as follows, viz. _ (2724) 72)577-50(8.02083 Complete the partial remainder 2724 by annexing to In order to multiply the di- it the 576 circle of the-dividend, and placing both, by way vidend by 99, move the deci- of numerator, over the divifor 3589. 150 mal point two places, to. the The numerator complex fradion being a mixt 144 right, and then fvfijtrad the number, reduce it ofto this an improper fradion,, by multiplygiven dividend. ing 27.24 by the denominator 99999, and 600. adding the numerator 46341 to the pro- 272400000 576 dud ; as in the margin : and then, inltead 2724 of the mixt number, the numerator of the. 340 complex fradion will be Or 272397276 216 rather work thus : Efteem 2724.46341, a 46341 circulate; and then you find the numerator of the vulgar fradion by fubtrading ihefi* 272443617 Case VI. When a circulate divides a circulate. nite part. Next
 * 73*