The Correct Answer and Explanation is:
The correct answer to the division problem 2,132 ÷ 41 is 52.
To find this exact quotient, we can use the process of long division. The problem provides a helpful estimate of 50, which tells us that our final answer should be a two-digit number starting with a 5. This estimate is likely reached by rounding 2,132 to 2,000 and 41 to 40; dividing 2,000 by 40 gives 50.
Let’s begin the precise calculation.
First, we set up the long division problem with 41 as the divisor and 2,132 as the dividend. We look at how many times 41 can fit into the first part of the dividend. Since 41 cannot go into 2 or 21, we must consider the first three digits: 213.
Using our estimate, we test the number 5. We multiply 5 by the divisor, 41, which gives us 205. We write the 5 above the 3 of the dividend, as it is the first digit of our answer. We then subtract 205 from 213, which results in a remainder of 8.
Next, we bring down the following digit from the dividend, which is 2. We place this 2 next to our remainder of 8, forming the new number 82.
Now, we perform the second step of the division. We need to determine how many times our divisor, 41, can go into this new number, 82. A quick calculation shows that 41 fits into 82 exactly two times (41 x 2 = 82). We write this 2 next to the 5 in our quotient, completing our answer of 52.
Finally, we subtract 82 from 82, which leaves a remainder of 0. Since there is no remainder, the division is complete and the exact quotient is 52.
