35b/c:5b/c=

To solve the expression \( \frac{35b}{c} \div \frac{5b}{c} \), we can rewrite the division of fractions as multiplication by the reciprocal:

\[ \frac{35b}{c} \div \frac{5b}{c} = \frac{35b}{c} \times \frac{c}{5b} \]

Next, we can simplify the expression:

1. The \( c \) in the numerator and denominator can be canceled: \[ \frac{35b \cancel{c}}{\cancel{c} \cdot 5b} = \frac{35b}{5b} \]

2. Now we can simplify \( \frac{35b}{5b} \):

   • The \( b \) terms cancel: \[ \frac{35}{5} = 7 \]

So, the result of the expression \( \frac{35b}{c} \div \frac{5b}{c} \) is:

\[ \boxed{7} \]