DIVISION OF DECIMALS. 83 



2. Divide 3877875 by '675. Ans. SUS^oo. 



3. Divide -0081892 by -347. Ans. -0236, 



4. Divide 7-13 by -18. Ans. 39. 



CONTRACTIONS. 



I. Jffhe divisor he an integer ivith any number of cyphers at 

 the end ; cut them off, and remove the decimal point in the 

 dividend so many places farther to the left, as there were 

 cyphers cut off, prefixing cyphers, if need be 5 then pro- 

 ceed as before. 



EXAMPLES. 



1. Divide 953 by 210C0. 21*000) 



7)-3i766 

 •04538, &c. 

 Here \ first divide by 3, and tlienby 7, because 3 times 7 is 21. 



2. Divide 41020 by 32000. Ans. 1-281875. 



Note. Hence, if the divisor be i with cyphers^ the quotient 

 will be the same figures with the dividend, having the deci- 

 mal point so many places further to the left, as there arc 

 cyphers in the divisor. 



EXAMPLES. 



217-3 -T-ioo= 2-173. 419 by 10=; 41-9. 

 5 • 1 6 by 1 000 5; -005 1 5, -2 1 by 1 000 = -0002 1 . 



JI. When the number of figures in the divisor is great^ the op^ 

 eration may be contra^tedy and the necessary number of deci- 

 tnal places obtained, 



RULE. 



1. Having, by the 4th general rule, found what place of 

 decimals or integers the first figure of the quotient will pos- 

 sess ; 



easily appear ; for since the number of decimal places in the divi- 

 dend is equal to those in the divisor and quotient, taken together, 

 by the nature of multiplication ; it follows, that the quotient con- 

 tains as many as the dividend exceeds the divisor. 



