Answer :

To evaluate the expression [tex]$$-186 \div 6,$$[/tex] follow these steps:

1. Rewrite the division as a fraction:
[tex]$$\frac{-186}{6}.$$[/tex]

2. Recognize that dividing a negative number by a positive number results in a negative number. So, we can focus on dividing the absolute values and then apply the negative sign.

3. Divide the absolute values:
[tex]$$186 \div 6 = 31.$$[/tex]

4. Apply the negative sign:
[tex]$$-31.$$[/tex]

Thus, the final answer is [tex]$$\boxed{-31}.$$[/tex]