To estimate the value of 0.738 divided by 8.2, we can round both numbers to one decimal place:
0.738 ≈ 0.7
8.2 ≈ 8.0
Then we can divide 0.7 by 8.0:
0.7 / 8.0 ≈ 0.0875
So the value of the expression is approximately 0.0875. This is between the values in answer choice B, 0.08 and 0.1. Therefore, the answer is B) 0.08 and 0.1.