
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Consider the number $R_k$ whose base-ten representation is composed of $k$ consecutive ones, for example, $R_3 = 111$, $R_5 = 11111$, etc. Let's define $R_{18}$ and $R_6$. When $R_{18}$ is divided by $R_6$, the quotient $Q = R_{18}/R_6$ is an integer whose base-ten representation comprises only ones and zeroes. Determine the number of zeros in $Q$.
A) 9
B) 10
C) 11
D) 12
E) 13

Present the answer in LaTex format: \boxed{Your answer}
user