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Evaluate: 888. 36 div 48...

Evaluate:
`888. 36 div 48`

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The correct Answer is:
To evaluate \( 888.36 \div 48 \), we will follow these steps: ### Step 1: Remove the Decimal Point To make the division easier, we can eliminate the decimal point from the numerator. Since \( 888.36 \) has two digits after the decimal, we will multiply both the numerator and the denominator by \( 100 \). \[ 888.36 \div 48 = \frac{888.36 \times 100}{48 \times 100} = \frac{88836}{4800} \] ### Step 2: Perform the Division Now we need to divide \( 88836 \) by \( 4800 \). 1. **Estimate how many times \( 4800 \) fits into \( 88836 \)**. Start with \( 1 \): \[ 4800 \times 1 = 4800 \] Subtract: \[ 88836 - 4800 = 84036 \] 2. **Next, try \( 8 \)**: \[ 4800 \times 8 = 38400 \] Subtract: \[ 84036 - 38400 = 45636 \] 3. **Then try \( 9 \)**: \[ 4800 \times 9 = 43200 \] Subtract: \[ 45636 - 43200 = 2436 \] 4. **Now bring down the next digit (0)** to make it \( 24360 \). Now try \( 5 \): \[ 4800 \times 5 = 24000 \] Subtract: \[ 24360 - 24000 = 360 \] 5. **Bring down another \( 0 \)** to make it \( 3600 \). Now try \( 7 \): \[ 4800 \times 7 = 33600 \] Subtract: \[ 3600 - 33600 = 600 \] 6. **Bring down another \( 0 \)** to make it \( 6000 \). Now try \( 1 \): \[ 4800 \times 1 = 4800 \] Subtract: \[ 6000 - 4800 = 1200 \] 7. **Finally, bring down another \( 0 \)** to make it \( 12000 \). Now try \( 2 \): \[ 4800 \times 2 = 9600 \] Subtract: \[ 12000 - 9600 = 2400 \] ### Step 3: Combine the Results After performing the division, we find that: - The quotient is \( 18 \) with a decimal point added after the first digit. - The remainder is \( 2400 \). Thus, the final result of \( 888.36 \div 48 \) is: \[ \text{Final Answer} = 18.5075 \]
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