The number N = 111...1 consists of 2006 ones. It is exactly divisible by 11. How many digits are there in the quotient N/11
Ude this and plug-in your numbers:
https://www.algebra.com/algebra/homework/Average/Average.faq.question.1139001.html
1111 has 4 ones divide by 11 = 101 two ones ...half as many
1003