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Evaluate the 7.616 div 1.12...

Evaluate the
`7.616 div 1.12`

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To evaluate \( 7.616 \div 1.12 \), we can follow these steps: ### Step 1: Eliminate the Decimal Points To make the division easier, we will eliminate the decimal points by multiplying both the dividend (7.616) and the divisor (1.12) by 100 (since there are two decimal places in 1.12). \[ 7.616 \times 100 = 761.6 \] \[ 1.12 \times 100 = 112 \] Now, we rewrite the division as: \[ 761.6 \div 112 \] ### Step 2: Set Up the Division We can set up the division of 761.6 by 112. ### Step 3: Perform the Division 1. First, we see how many times 112 can fit into the first part of 761. 2. 112 fits into 761 six times (since \( 112 \times 6 = 672 \)). 3. Subtract \( 672 \) from \( 761 \): \[ 761 - 672 = 89 \] 4. Bring down the next digit (6), making it 896. 5. Now, we see how many times 112 fits into 896. 6. 112 fits into 896 eight times (since \( 112 \times 8 = 896 \)). 7. Subtract \( 896 \) from \( 896 \): \[ 896 - 896 = 0 \] ### Step 4: Place the Decimal Point Since we shifted the decimal point two places to the right initially, we need to place the decimal point in our answer after the first digit. Thus, the answer is: \[ 6.8 \] ### Final Answer \[ 7.616 \div 1.12 = 6.8 \] ---
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