Answer: 0.125
Explanation:
To divide 0.4125 by 3.3 using long division, you can follow these steps:
Set up the division problem, with 0.4125 as the dividend and 3.3 as the divisor.
Start by dividing 4 by 3, which equals 1 with a remainder of 1. Bring down the next digit, 1, to make the remainder 11.
Divide 11 by 3, which equals 3 with a remainder of 2. Bring down the next digit, 2, to make the remainder 22.
Divide 22 by 3, which equals 7 with a remainder of 1. Bring down the next digit, 5, to make the remainder 15.
Since the remainder 15 is less than the divisor 3.3, you can add a decimal point and a zero to the right of 15, making it 150. Then, divide 150 by 33, which equals 4 with a remainder of 18.
Bring down the next digit, 0, to make the remainder 180.
Divide 180 by 33, which equals 5 with a remainder of 15.
Continue this process until you have enough decimal places in your answer, or until the remainder is zero.