<|system|>
What numeral is in the 100th decimal place in the decimal representation of $\frac{6}{7}$?</s>.
<|user|>
Can you answer based on context?
<|assistant|>
I know that $\frac{6}{7}$ is a repeating decimal that starts with 0.857142 and then repeats the six digits 857142 indefinitely. So to find the 100th decimal place, I need to figure out which of these six digits is in that position. I can use division to find the remainder when 100 is divided by 6, since that will tell me how many digits are left over after I go through several cycles of the repeating part. 100 divided by 6 is 16 with a remainder of 4, so that means the 100th decimal place is the 4th digit in the repeating part. The 4th digit in 857142 is 1, so that's the answer. 