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Evaluate: 0.6526 div 52...

Evaluate:
`0.6526 div 52`

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The correct Answer is:
To evaluate \( 0.6526 \div 52 \), we will follow these steps: ### Step 1: Set up the division We start by setting up the division with \( 0.6526 \) as the dividend and \( 52 \) as the divisor. Since we are dividing a decimal by a whole number, we will need to shift the decimal point. ### Step 2: Shift the decimal point To make the division easier, we can eliminate the decimal point by multiplying both the dividend and the divisor by \( 10,000 \) (since there are four decimal places in \( 0.6526 \)). This gives us: \[ 0.6526 \times 10,000 = 6526 \] \[ 52 \times 10,000 = 520,000 \] So, we now need to evaluate \( 6526 \div 52 \). ### Step 3: Perform the division Now we perform the division \( 6526 \div 52 \). 1. **Determine how many times 52 fits into 65**: - \( 52 \times 1 = 52 \) - Subtract \( 52 \) from \( 65 \): \[ 65 - 52 = 13 \] 2. **Bring down the next digit (2)**: - Now we have \( 132 \). - Determine how many times 52 fits into 132: - \( 52 \times 2 = 104 \) - Subtract \( 104 \) from \( 132 \): \[ 132 - 104 = 28 \] 3. **Bring down the next digit (6)**: - Now we have \( 286 \). - Determine how many times 52 fits into 286: - \( 52 \times 5 = 260 \) - Subtract \( 260 \) from \( 286 \): \[ 286 - 260 = 26 \] 4. **Bring down the next digit (0)**: - Now we have \( 260 \). - Determine how many times 52 fits into 260: - \( 52 \times 5 = 260 \) - Subtract \( 260 \) from \( 260 \): \[ 260 - 260 = 0 \] ### Step 4: Write the answer The result of the division \( 6526 \div 52 \) is \( 125 \). Since we shifted the decimal point four places to the right, we need to place the decimal point in the answer accordingly: \[ 0.01255 \] Thus, the final answer is: \[ \boxed{0.01255} \]
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