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Divide : 0.992 div 31...

Divide :
`0.992 div 31`

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The correct Answer is:
To divide \(0.992\) by \(31\), we can follow these steps: ### Step 1: Eliminate the Decimal To make the division easier, we can eliminate the decimal by multiplying both the numerator and denominator by \(1000\) (since \(0.992\) has three decimal places). \[ 0.992 \div 31 = \frac{0.992 \times 1000}{31 \times 1000} = \frac{992}{31000} \] ### Step 2: Set Up the Division Now we need to divide \(992\) by \(31\). \[ 992 \div 31 \] ### Step 3: Perform the Division 1. First, see how many times \(31\) fits into \(99\) (the first two digits of \(992\)). - \(31\) goes into \(99\) three times because \(31 \times 3 = 93\). - Write \(3\) above the line. 2. Subtract \(93\) from \(99\): \[ 99 - 93 = 6 \] 3. Bring down the next digit \(2\) from \(992\) to make \(62\). 4. Now, see how many times \(31\) fits into \(62\). - \(31\) goes into \(62\) exactly two times because \(31 \times 2 = 62\). - Write \(2\) above the line next to \(3\). 5. Subtract \(62\) from \(62\): \[ 62 - 62 = 0 \] ### Step 4: Write the Result So, \(992 \div 31 = 32\). Now, we need to account for the \(1000\) we multiplied by earlier. \[ \frac{992}{31000} = \frac{32}{1000} \] ### Step 5: Convert to Decimal To convert \(\frac{32}{1000}\) to decimal form, we can simply move the decimal point three places to the left. \[ \frac{32}{1000} = 0.032 \] ### Final Answer Thus, \(0.992 \div 31 = 0.032\). ---
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