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Evaluate: 18.018 div 3.9...

Evaluate:
`18.018 div 3.9`

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The correct Answer is:
To evaluate \( 18.018 \div 3.9 \), we can follow these steps: ### Step 1: Eliminate the Decimal To make the division easier, we can eliminate the decimal point from the divisor (3.9). We do this by multiplying both the divisor and the dividend by 10. \[ 18.018 \div 3.9 = \frac{18.018 \times 10}{3.9 \times 10} = \frac{180.18}{39} \] ### Step 2: Set Up the Long Division Now we set up the long division with 39 as the divisor and 180.18 as the dividend. ### Step 3: Divide the First Part We start by determining how many times 39 fits into 180. We can use the multiplication table of 39 to help us. - \( 39 \times 4 = 156 \) (this is less than 180) - \( 39 \times 5 = 195 \) (this is more than 180) So, 39 fits into 180 a total of 4 times. ### Step 4: Subtract Now we subtract \( 156 \) from \( 180 \): \[ 180 - 156 = 24 \] ### Step 5: Bring Down the Next Digit Next, we bring down the next digit from the dividend, which is 1 (from 180.18), making it 241. ### Step 6: Divide Again Now we determine how many times 39 fits into 241. - \( 39 \times 6 = 234 \) (this is less than 241) - \( 39 \times 7 = 273 \) (this is more than 241) So, 39 fits into 241 a total of 6 times. ### Step 7: Subtract Again Now we subtract \( 234 \) from \( 241 \): \[ 241 - 234 = 7 \] ### Step 8: Bring Down the Next Digit Next, we bring down the next digit from the dividend, which is 8 (from 180.18), making it 78. ### Step 9: Divide One Last Time Now we determine how many times 39 fits into 78. - \( 39 \times 2 = 78 \) (this is equal to 78) So, 39 fits into 78 a total of 2 times. ### Step 10: Final Subtraction Now we subtract \( 78 \) from \( 78 \): \[ 78 - 78 = 0 \] ### Step 11: Place the Decimal Point Since we had shifted the decimal point one place to the right at the beginning, we place the decimal point in the quotient. Thus, the final answer is: \[ 18.018 \div 3.9 = 4.62 \] ### Final Answer The result of \( 18.018 \div 3.9 \) is \( 4.62 \). ---
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