(24a^3c)÷(6a^2)

To simplify the expression \((24a^3c) \div (6a^2)\), you can follow these steps:

1. Divide the coefficients: \[ \frac{24}{6} = 4 \]

2. Subtract the exponents of \(a\) (using the property \(a^m \div a^n = a^{m-n}\)): \[ a^{3-2} = a^1 = a \]

3. The variable \(c\) remains unchanged since it's not in the denominator.

Putting it all together, the simplified expression is: \[ 4ac \]

So, \((24a^3c) \div (6a^2) = 4ac\).