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Divide : 0.1164 div 0.012...

Divide :
`0.1164 div 0.012`

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To solve the division of \(0.1164\) by \(0.012\), we can follow these steps: ### Step 1: Remove the Decimals To make the division easier, we can eliminate the decimals by multiplying both the dividend and the divisor by the same power of 10. In this case, we can multiply both by \(1000\) (since \(0.012\) has three decimal places). \[ 0.1164 \div 0.012 = \frac{0.1164 \times 1000}{0.012 \times 1000} = \frac{116.4}{12} \] ### Step 2: Perform the Division Now, we need to divide \(116.4\) by \(12\). 1. \(12\) goes into \(116\) a total of \(9\) times because \(12 \times 9 = 108\). 2. Subtract \(108\) from \(116\) to get a remainder of \(8\). 3. Bring down the \(4\) from \(116.4\) to make it \(84\). 4. Now, \(12\) goes into \(84\) a total of \(7\) times because \(12 \times 7 = 84\). 5. Subtract \(84\) from \(84\) to get a remainder of \(0\). So, the result of the division is \(9.7\). ### Step 3: Adjust for the Decimal Places Now we need to adjust for the decimal places. In the original numbers: - \(0.1164\) has \(4\) decimal places. - \(0.012\) has \(3\) decimal places. When we divide, we subtract the number of decimal places in the divisor from the number of decimal places in the dividend: \[ 4 - 3 = 1 \] This means we need to place the decimal point in our result \(9.7\) one place to the left: \[ 9.7 \rightarrow 0.97 \] ### Final Answer Thus, the final answer for \(0.1164 \div 0.012\) is: \[ \boxed{9.7} \]
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