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Divide : 0.12749 div 61...

Divide :
`0.12749 div 61`

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The correct Answer is:
To solve the division of \(0.12749\) by \(61\), we can follow these steps: ### Step 1: Remove the Decimal To make the division easier, we can eliminate the decimal by multiplying both the numerator and the denominator by \(100000\) (which is \(10^5\) or \(1\) followed by \(5\) zeros). \[ 0.12749 \times 100000 = 12749 \] \[ 61 \times 100000 = 6100000 \] So, we rewrite the division as: \[ \frac{0.12749}{61} = \frac{12749}{6100000} \] ### Step 2: Set Up the Division Now we need to divide \(12749\) by \(61\). ### Step 3: Perform the Division 1. **Divide \(127\) by \(61\)**: - \(61\) goes into \(127\) **2 times** (since \(61 \times 2 = 122\)). - Subtract \(122\) from \(127\): \[ 127 - 122 = 5 \] 2. **Bring down the next digit** (which is \(4\), making it \(54\)): - \(61\) does not go into \(54\), so we write \(0\) in the quotient and bring down the next digit \(9\) (making it \(549\)). 3. **Divide \(549\) by \(61\)**: - \(61\) goes into \(549\) **9 times** (since \(61 \times 9 = 549\)). - Subtract \(549\) from \(549\): \[ 549 - 549 = 0 \] ### Step 4: Write the Result Now we have \(209\) as the quotient from the division \(12749 \div 61\). ### Step 5: Adjust for the Decimal Since we multiplied the original number by \(100000\), we need to divide the result by \(100000\): \[ \frac{209}{100000} = 0.00209 \] Thus, the final answer is: \[ \boxed{0.00209} \] ---
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