30 ARITHMETIC 



Method of Proof. 



Multiply the quotient by the dmsor, and this product, 

 added to the remainder, will be equal to the dividend, 

 V'hen the work is right. 



(0 (2) 



5)^3545728(2705)1451 3<^5)i2345^789(3382g7 



10 1095 



35 1395 



35 ^"=^9$ 



45 3oo<^ 



45 2920 



7 867 



5 730 



22 137& 



20 "^^9^ 



2839 

 2555 



284 



3. Divide- 



tht remainder is greater than the quotient, as may be easily demon- 

 strated ; but one instance will be sufficient ; thus 17, divided by 

 6, gives the integral quotient 2, and remainder 5 ; but 17, di-. 

 vidcd by 2, gives the integral quotient 8, and remainder i. This 

 shews how cautious we ought to be in deducing general rules from, 

 particular examples. 



Rule II. Add the remainder, and all the products of the 

 several quotient figures, by the divisor, together, according to the 

 order, in which they stand in the work, and tlie sum will be equal 

 to the dividend, when the work is right. 



The 



