Let's simplify the given expression step by step:

The expression is:
\[ 8 \times 6 \times 13 / 13 \times 16 \times 68 \times 6 \times 13 / 13 \times 16 \times 6 \]

1. Start by canceling the common factors in the numerators and the denominators:

The expression simplifies to:
\[ (8 \times 6 \times \cancel{13}) / \cancel{13} \times 16 \times 68 \times 6 \times \cancel{13} / \cancel{13} \times \cancel{16} \times \cancel{6} \]

2. After canceling, what remains in the numerator and denominator:
\[ 8 / 68 \]

3. Simplify the fraction \( 8 / 68 \):

Divide both the numerator and the denominator by their greatest common divisor, which is 4:

\[ 8 / 4 = 2 \]
\[ 68 / 4 = 17 \]

So the fraction simplifies to \( 2/17 \).

Therefore, the value of the expression is:
\[ \frac{2}{17} \]