Answer
Fill the blanks with
... 2 ... 1 ... 21
... 1 ... 2
... 2 ... 2 ... 0 ... 20
... 201
Work Step by Step
We begin with $3\times 3=9=2\times 4+1\times 1=21_{four}$
Record the 1, carry the 2
$\begin{array}{lll}
& 2 & \\
& 2 & 3_{four}\\
\times & & 3_{four}\\
-- & -- & --\\
& & 1_{four}
\end{array}$
Next
$3\times2 +2=8=2\times4+0\times1=20_{four}$
Record this:
$\begin{array}{lll}
& 2 & \\
& 2 & 3_{four}\\
\times & & 3_{four}\\
-- & -- & --\\
2 & 0 & 1_{four}
\end{array}$
(the result is $201_{four})$
