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Divide : 0.0783div 0.9...

Divide :
`0.0783div 0.9`

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To solve the problem of dividing 0.0783 by 0.9, we can follow these steps: ### Step 1: Write the division We start with the division expression: \[ 0.0783 \div 0.9 \] ### Step 2: Eliminate the decimal in the denominator To eliminate the decimal in the denominator (0.9), we can multiply both the numerator and the denominator by 10. This will shift the decimal point one place to the right. So we multiply: \[ 0.0783 \times 10 = 0.783 \] \[ 0.9 \times 10 = 9 \] Now, we rewrite the expression: \[ 0.0783 \div 0.9 = 0.783 \div 9 \] ### Step 3: Perform the division Now we need to divide 0.783 by 9. 1. **Divide the first digit**: 9 cannot go into 0, so we look at the first two digits (07). Still, 9 cannot go into 07, so we consider the first three digits (078). 2. **Divide 78 by 9**: 9 goes into 78 a total of 8 times (since \(9 \times 8 = 72\)). 3. **Subtract**: \[ 78 - 72 = 6 \] 4. **Bring down the next digit (3)**: Now we have 63. 5. **Divide 63 by 9**: 9 goes into 63 exactly 7 times (since \(9 \times 7 = 63\)). 6. **Subtract**: \[ 63 - 63 = 0 \] So, we have: \[ 0.783 \div 9 = 0.087 \] ### Final Answer Thus, the result of dividing 0.0783 by 0.9 is: \[ 0.087 \] ---
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