When you divide \( x \) by 6 and get a quotient of 13 and a remainder of 5, you can express this relationship mathematically as:
\[ x = 6 \cdot \text{quotient} + \text{remainder} \]
Substituting in the values for the quotient and the remainder, you get:
\[ x = 6 \cdot 13 + 5 \]
Calculating that:
\[ x = 78 + 5 = 83 \]
Thus, \( x \) is \( 83 \).
The answer is \( 83 \).