COMPOUND DIVISTOK. 53 



COMPOUND DIVISION. 



Compound Divis'ron teacneth to find how often one given 

 number is contained in another of different denomiuation&. 



RULE.* 



J. Place the numbers as in simple division. 



2. Begin at the left hand, and divide each dcnpminatpn 

 Jjy the divisor, setting the quotients under their respective 

 dividends. 



3- But if there he n remainder, after dividing any of the 

 denominations except the least, find how many of the next 

 lower denomination it is equal to, and add it to the num- 

 ber, if any, -which was in this denomination before ; then 

 ^ivide the sum as usual, and so on, till the whole is finished. 



f he method of proof is the same as in simple division. 



EXAMPLES 



* To divide a numl^er consistincr of several denominations, by 

 any simple number whatever, is evidently the same as dividing all 

 the parts or members, of which that number is composed, by the 

 same simple number. And this will be true, when any of the 

 parts are not an exact multiple of the divisor : for by conceiving 

 the number, by which it exceeds that muldplc, to have its proper 

 value by being placed in the next lower denomination, the divi- 

 dend will still be divided into parts, and the true quotient found as 

 J^efore : thus 25I. 12s. 3d. divided by 9, will be the same as 18L 

 144s. 99d. divided by 9, which is equal to 2h i6s. iid. as b-^ 

 the rule ; and the method of carrying from one denomination to 

 another i? €x^:'>lv the same. 



