The model you described represents dividing a number (in this case, 2) by one-third.
To illustrate this mathematically, the division problem can be stated as:
\[ 2 \div \frac{1}{3} \]
This can also be interpreted as finding out how many one-third units fit into 2.
When performing the calculation:
\[ 2 \div \frac{1}{3} = 2 \times 3 = 6 \]
So the quotient is 6.
In summary, the division problem represented by your model is:
\[ 2 \div \frac{1}{3} \]
And the quotient is 6.