Certainly, let's break this down step by step.
Step 1: Divide 0.05852 by 0.031. When you perform this operation, you get an unrounded quotient of approximately 1.8877419354838711.
Step 2: Now, we need to round this quotient to the nearest hundredth. The hundredths place is the second number after the decimal point. In our case, it's the number 8. The next digit is 7, which is 5 or higher. To round this, we'll need to increase 8 by 1.
Thus, the final answer after rounding the quotient to the nearest hundredth will be approximately 1.89.
Hope that clears up the procedure for you.