SIMPLE DIVISION. 33 



1. Divide 7380964 by 23000. Ans. 320^^-1. 

 3. Divide 29628754963 by 35000. Ans. 846535- 



20965 



il. When the divisor is the product of two or more small num- 

 hers in the table, 



RULE.* 



Divide continually by those numbers, Instead of the 

 whole divisor at once* 



EXAMPLES* 



of them by 10, 100, 1000, &c. and it is evident, that as often as the 

 whole divisor is contained in the whole dividend, so often must any 

 part of the divisor be contained in a like part of the dividend. This 

 method is only to avoid a needless repetition of cyphers, which 

 v/ould happen in the common way, as may be seen by working an 

 example at large. 



* This follows from contraction the second In multiplication, of 

 which it is only the converse; for the third part of the half of any 

 thing is evidently the same as the sixth part of the whole ; and so 

 of any other number. I have omitted saying any thing, in the rule, 

 about the method of finding the true remainder ; for as the learn-v 

 is fupposed, at present, to be unacquainted with the nature of frac- 

 tions, it would be improper to introduce them In this part of the 

 work, especially as the integral quotient is sufEcIcnt to answer most 

 of the purposes of practical division. However, as the quotient is 

 incomplete without this remainder, and, in some computations, it is 

 necessary it should be known, I shall here shew the manner of fmd- 

 ingit, without any assistance from fractions. 



Rule. Multiply the quotient by the divisor, and subtract the 

 product from the dividend, and the result will be the true re- 

 mainder. 



The truth of this is extremely obvious ; for if the product of 

 the divisor and quotient, added to the remainder, -be equal to the 

 dividend, their product taken from the dividend must leave the 

 remainder. Xh'; 



