Answer :

Sure! Let's solve the division problem step-by-step:

We need to evaluate [tex]\( -186 \div 6 \)[/tex].

1. Identify the numbers involved in the division: [tex]\(-186\)[/tex] (the dividend) and [tex]\(6\)[/tex] (the divisor).

2. Divide the absolute values of the numbers:
[tex]\[
\left| -186 \right| = 186
\][/tex]
[tex]\[
186 \div 6 = 31
\][/tex]

3. Determine the sign of the result:
Since we are dividing a negative number by a positive number, the result will be negative.

4. Combine the result from step 2 with the determined sign from step 3:
[tex]\[
-186 \div 6 = -31
\][/tex]

So, the final answer is:
[tex]\[
\boxed{-31}
\][/tex]