The number N = 111...1 consists of 2006 ones. It is exactly divisible by 11. How many zeroes are there in the quotient N/11
There are 506 zeros in N/11.
n=1010101010101010101010101010..........;s=0;p=0;cycle: s=(n%10);if(s==1,p=p+1, 0);n=(n div 10);if(n!=0, goto cycle,0);print"Total Num =",p
There are 2005 digits in the quotient of N/11.
1002 of them are zeros, and:
1003 of them are "1's"
+126 
