SIMPLE DIVISION. 35 



J. Divide 7014596 by 72ZZ8X9. 

 8)70 14596 



9)876824 4 



97424 8 the quotient. 



3. Divide 5130652 by 132. Ans. ^^^68^^, 



4. Divide 83016572 by 240. Ans. 345902^-/^. 



III. 21? perform division more concisely than hy the general rule. 



RULE.* 



Multiply the divisor by the quotient figures as before, 

 and subtract each figure of the product as. you produce it, 

 always remembering to carry as many to the next figure as 

 were borrowed before. 



EXAMPLES. 



X. Divide 3104675846 by 833. 



^33)3io4675S46(3727ioi-B-TT ^^^ quotient. 

 6056 

 2257 



5915 

 848 



^546 



713 2. Divide 



To explain tliis rule from the example, we may observe, that 

 every unit of the first quotient may be looked upon as containing 9 

 of the units in the given dividend ; consequently every unit, that 

 remains, will contain the same ; therefore this remainder must 

 be multiplied by g, in order to find the units it contains of the 

 given dividend. Again, every unit in the next quotient will con- 

 tain 4 of the preceding ones, or 36 of the first, that is, 9 times 4 ; 

 therefore what remains must be multiphed by 36 ; or, which is the 

 same thing, by 9 and 4 continually. Now this is the same as the 

 rule ; for instead of finding the remainders separately, they are re- 

 duced from the bottom upward, step by step, to one another, and 

 the remaining units of the same class taken in as they occur. 



* The reason of this rule is the same as that of the ^neral rule. 



