# Columnar Multiplication?

Number Theory Level 1

$\large{\begin{array}{cccccc} &0.& 1 & 6& 6 & 6&6& \ldots\\ \times&0. & 3 & 3& 3 & 3&3&\ldots\\ \hline &0. &0 &\bigstar &\bigstar& \bigstar& \bigstar&\ldots\\ \hline \end{array}}$

The above shows the product of the two fractions $$\dfrac16$$ and $$\dfrac13$$ when written in decimal representation.

Find the value that represents the symbol $$\bigstar$$.

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