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# Beauty of Number '9'

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See the above answers we got from multiplication of number 9.All the answers count up to '9'.i.e ;9,18,27,36,45,90,135,999 all counts up to '9'
{ 9,1+8=9,4+5=9,1+3+5=9 and 9+9+9=27=2+7=9}.

So whatever the multiplication ,the multiplier 9 yields a result which will always add up to number '9' .Also if you see the above answers you can clearly notice the increasing and decreasing of numbers on either side such as 0,1,2,3,4,5 and 5,4,3,2,1,0.
What a  BEAUTY OF NUMBER  9 !.

Lets see how to divide any large number by this number '9'.
a) 12130110 , b) 3432123486 and c) 23431121/9.
In (a)and (b) ,we see that the numbers add up to '9' which clearly indicates that this number is divisible by 9 (a simple trick to find whether this number is divisible by ' 9' or not).Now , lets find the answer and to find the answers.... just follow this trick

a) 12130110  /9 = ?

Add all from left as shown,
1(1+2)(1+2+1)(1+2+1+3)(1+2+1+3+0)(1+2+1+3+0+1)(1+2+1+3+0+1+1)(1+2+1+3+0+1+1+0)
1 3 4 7 7 8 9      9
(last digit is divisible by 9 so remainder is zero)

Now ,add one '1' to this answer to get the final result  i.e;1347789 +1 =1347790

Therefore our Result is 12130110 / 9 = 1347790

Similarly for example (b) and (c)

b) 3432123486 / 9 = ?
Just keep adding from left ,
3(3+4)(3+4+3)(3+4+3+2)(3+4+3+2+1)(3+4+3+2+1+2)(3+4+3+2+1+2++3)(3+4+3+2+1+2+3+4)(3+4+3+2+1+2++3+4+8)(3+4+3+2+1+2++3+4+8+6)
3 7 10 12 13 15 18 22 30    36
(last digit 36 is divisible by 9 so remainder is zero)

Carry over the double digits ,we get  3 71 01 21 31 51 82 23 03      36   and add 1 to get the final result
381347053 +1 =381347054

Therefore Result  is 3432123486 / 9 = 381347054

c) 23431121 / 9=?
2 5 9 12 13 14 16 17
Carrying over the lefts,
2 6 0 3 4 5 6  and   17 where 17 is not divisible by 9 ,so we get remainder 7 .

Now ,add one to the answer to get the final result 2 6 0 3 4 5 6 +1 =2 6 0 3 4 5 7 .

Therefore our Result is 23431121 / 9 = 2603457

NOW,WE CAN DIVIDE ANY NUMBER HOWEVER LONG IT IS BY '9' IN JUST 5 MINUTES OR MAYBE LESS  :)
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