DIVISION 



1820 



DIVISION 



(a) 57188-=-58=rn 

 900 + 80 + 6 

 50 + 8177157 



45000 = 900X60 

 12188 

 7200 = 900X8 



4988 



4000 = 80X50 

 988 



640 = 80X8 

 348 



300 = 6X50 

 48 

 48 = 6X8 



900 + 80 + 6 = 986 

 (b) _68|57188 



62200 = 900X58 

 4988 



4640 = 80X58 

 348 . 

 348 = 6X58 



986 

 (C) 58|57188 



52200 = 900X58 

 4988 



4640 = 80X58 

 348 

 348 = 6X58 



986 



(d) 58J57188 

 522 

 498 

 464 

 348 

 348 



This final form should be seen to mean just 

 what the preceding one means, and the so- 

 called "bringing down the next figure" should 

 be understood to be subtraction of the product 

 of the divisor and partial quotient from the 

 dividend. 



The next example illustrates the method 

 followed when there is a larger divisor than 

 those used above. 



942 

 4281403176 



385200 = 900X428 

 17976 

 17120 = 40X428 



856 



856 = 2X428 



Meaning of Remainder. 15-i-2=n. How 

 many 2's in 15? There are 7 2's, or 14, and a 

 remainder of 1, or there are 7^ 2's in 15. 



21-^6=n. We can take 3 6's out of 21 and 

 have 3 left; that is, we find 3% 6's in 21. 



55 



15 



15 



15 



10 



The diagram shows con- 

 cretely the dividend (55), di- 

 visor (15) and remainder 

 (10). 



7430-M8=n 



412 



I8J743T 

 72 

 23 

 18 

 50 



1 



14 



We can take 412 18's out of 7430 and have 14 

 left. Note that the sum of the subtrahends 

 and the remainder makes the dividend, as 

 shown below: 



7 2 00 = first subtrahend 

 180 = second subtrahend 



36 = third subtrahend 



14 = remainder 

 7430 = dividend 



The quotient is 412, with a remainder of 14, 

 or the quotient is 412%. This last says there 

 are in 7430, 412 18's and % of 18. If I had 

 $7430, I could buy at $18 per acre 412 acres and 

 have $14 left, or I could buy 412% acres. 



135 



36 



36 



36 



27 



Showing in concrete form 

 the remainder 27, resulting 

 from dividing 135 by 36. 



Some Short Methods of Division. (1) Di- 

 vide by 10, 100, 1000, etc., by striking off one 

 zero, two zeros, three zeros, etc. For example, 

 1280, 600, 178000; or move the decimal point 

 one, two, three, etc., places to the left. For 

 example, 15.6/, 8.43/2, .967/8. 



(2) To divide by 5, multiply by 2 and move 

 the decimal point one place to the left. For 



example, 248-^5=^^=49.6. 



