Answer :

To divide 40,182 by 2, let's follow these detailed steps:

1. Divide the tens of thousands place:
- In 40,182, the tens of thousands digit is 4. Divide 4 by 2 to get 2. This represents 20,000.

2. Divide the thousands place:
- Now, focus on the next digit, 0 (in the 1,000 place). Dividing 0 by 2 gives 0. This doesn't change our result so far.

3. Divide the hundreds place:
- Next, take the 1 (in the hundreds place). Since we are dividing 40,182 as a whole by 2 and not individual digits, this would contribute to the overall result proportionately.

4. Divide the tens place:
- Consider the tens digit 8. Dividing 8 by 2 gives 4. This contributes to the tens place of our final result.

5. Divide the units place:
- Finally, we divide the units place, 2, by 2 to get 1.

Combining all these divisions together:

[tex]\[ 40,182 \div 2 = 20,091 \][/tex]

Therefore, [tex]\( 40,182 \div 2 \approx 20,091 \)[/tex].

So, the correct answer is:
[tex]\[ \mathbf{20,091} \][/tex]