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RAVAL DIVISION ALGORITHM

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Simple Division is adequately documented in text books, internet and Khan Academy.com. But what is not there is solving simple division sums where zero is involved in dividend ( as shown in example below)

I do not know what algorithms calculator machine use but this method is not found in any documents on internet or textbooks in India.

I have modified Long Division method to solve any kind of division problems. Long Division method has been in use for 400 years (Henry Briggs - Oxford Reference.) but it fails when lots of zeroes are present in dividend.

Two places where we have contributed in Long Division Method:

1) When zero is present in dividend.

2) The divisor table is used from 0 to 9. Not from 1 to 10. No textbooks mentions this thing. 

Example below shows how to divide a number:

 

 
100
   3x0 = 0
3 301   3x1 =3
- 3 -->3x1 = 3 3x2=6
 
00
 after subtraction bring one digit down i.e. 0 3x3=9
- 00 -->3x0 = 0 3x4=12
  001 after subtraction bring one digit down i.e. 1 3x5=15
- 000 -->3x0 = 0 3x6=18
  001 Note you should stop dividing when remainder is less than divisor 3x7=21
3x8=24
3x9=27

Division sums are particularly difficult when you have 0 as one of the digit.

To divide such sums first write tables of divisor i.e. here it is 3 from 0 to 9.

Then divide as shown above. Whenever you subtract the value in division you have to

bring one digit of dividend down.

Another division sum with 2 digit divisor.

 
  91678
   12x0 = 0
12 1100145   12x1 =12
-
108
 -->12 x 9 = 108 12x2=24
  0020 after subtraction bring one digit down 12x3=36
- 0012 -->12 x 1 = 12 12x4=48
  00081 after subtraction bring one digit down 12x5=60
- 00072 ---> 12 x 6=72 12x6=72
000094
 after subtraction bring one digit down 12x7=84
- 000084 ---> 12 x 7=84 12x8=96
0000105
 after subtraction bring one digit down 12x9=108
- 0000096 ----> 12 x 8=96
0000009
 Note you should stop dividing when remainder is less than divisor


I read in one of the blog that an British Engineer 45 years old was an successful Mechanical Engineer but could not solve a division problem.

In multiplication you start from right while in division you start from left. This causes confusion. So it becomes a big handicap for small childrens learning mathematics in school.

My request to Education Department to incorporate in school textbooks what we have done.


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