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Solve: 30.13 div 1.31...

Solve:
`30.13 div 1.31 `

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To solve the problem \(30.13 \div 1.31\), we will follow these steps: ### Step 1: Eliminate the decimals To make the division easier, we can eliminate the decimals by multiplying both the numerator and the denominator by 100 (since there are two decimal places in 1.31). \[ 30.13 \div 1.31 = \frac{30.13 \times 100}{1.31 \times 100} = \frac{3013}{131} \] ### Step 2: Set up the long division Now we need to divide 3013 by 131. We will set it up for long division. ### Step 3: Divide 1. **Determine how many times 131 fits into the first part of 3013**: - 131 goes into 301 (the first three digits of 3013) **2 times** because \(131 \times 2 = 262\). 2. **Subtract**: - Subtract 262 from 301: \[ 301 - 262 = 39 \] 3. **Bring down the next digit**: - Bring down the next digit (which is 3) to make it 393. 4. **Divide again**: - Now, determine how many times 131 fits into 393: - 131 goes into 393 **3 times** because \(131 \times 3 = 393\). 5. **Subtract**: - Subtract 393 from 393: \[ 393 - 393 = 0 \] ### Step 4: Write the answer Since the division is complete and there is no remainder, we can write the answer as: \[ 30.13 \div 1.31 = 23 \] ### Final Answer: \[ \text{The answer is } 23. \] ---
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