To solve \( 2 \div \frac{4}{10} \), we first need to rewrite the division by a fraction as multiplication by its reciprocal.
So, \[ 2 \div \frac{4}{10} = 2 \times \frac{10}{4} \]
Now, simplify \( \frac{10}{4} \): \[ \frac{10}{4} = \frac{5}{2} \]
Now we multiply 2 by \( \frac{5}{2} \): \[ 2 \times \frac{5}{2} = \frac{2 \times 5}{2} = \frac{10}{2} = 5 \]
Therefore, the result of \( 2 \div \frac{4}{10} \) is \( 5 \).
So, the answer is 5.