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Divide : 1.242 div 1.8...

Divide :
`1.242 div 1.8`

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To solve the division of 1.242 by 1.8, we can follow these steps: ### Step-by-Step Solution: 1. **Write the Division**: We start with the division expression: \[ 1.242 \div 1.8 \] 2. **Eliminate Decimals**: To make the division easier, we can eliminate the decimals. We can do this by multiplying both the numerator (1.242) and the denominator (1.8) by 10. Since 1.8 has one decimal place, we multiply by 10: \[ 1.242 \times 10 = 12.42 \] \[ 1.8 \times 10 = 18 \] So, we rewrite the division as: \[ 12.42 \div 18 \] 3. **Perform the Division**: Now we will divide 12.42 by 18. We can start by determining how many times 18 fits into 12.42. Since 18 is larger than 12.42, we will start with 0 and move to the next decimal place. 4. **Add Decimal Point**: We add a decimal point in the quotient and consider the next digit. We can treat it as 124.2 (moving the decimal point one place to the right). 5. **Divide**: Now we see how many times 18 fits into 124: - 18 goes into 124 six times (because \(18 \times 6 = 108\)). - Write 6 in the quotient. - Subtract \(124 - 108 = 16\). 6. **Bring Down the Next Digit**: Now, we bring down the next digit (2), making it 162. 7. **Continue Dividing**: Now we see how many times 18 fits into 162: - 18 goes into 162 nine times (because \(18 \times 9 = 162\)). - Write 9 in the quotient. - Subtract \(162 - 162 = 0\). 8. **Final Result**: Since there are no more digits to bring down, we conclude that: \[ 1.242 \div 1.8 = 0.69 \] ### Final Answer: \[ \text{The result of } 1.242 \div 1.8 \text{ is } 0.69 \]
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