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Evaluate: 0.810 div 36...

Evaluate:
`0.810 div 36`

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The correct Answer is:
To evaluate \( 0.810 \div 36 \), we will follow these steps: ### Step 1: Set up the division We will divide \( 0.810 \) by \( 36 \). To do this, we can ignore the decimal for now and treat it as \( 810 \) divided by \( 36 \). ### Step 2: Convert the decimal Since we are dividing a decimal, we will place the decimal point in the quotient after completing the division. ### Step 3: Perform the division 1. **Determine how many times \( 36 \) fits into \( 81 \)**: - \( 36 \times 2 = 72 \) - \( 36 \times 3 = 108 \) (too high) - So, \( 36 \) fits into \( 81 \) **2 times**. 2. **Subtract**: - \( 81 - 72 = 9 \) 3. **Bring down the next digit (0)**: - Now we have \( 90 \). 4. **Determine how many times \( 36 \) fits into \( 90 \)**: - \( 36 \times 2 = 72 \) - \( 36 \times 3 = 108 \) (too high) - So, \( 36 \) fits into \( 90 \) **2 times**. 5. **Subtract**: - \( 90 - 72 = 18 \) 6. **Bring down the next digit (0)**: - Now we have \( 180 \). 7. **Determine how many times \( 36 \) fits into \( 180 \)**: - \( 36 \times 5 = 180 \) - So, \( 36 \) fits into \( 180 \) **5 times**. 8. **Subtract**: - \( 180 - 180 = 0 \) ### Step 4: Place the decimal point Since we initially ignored the decimal, we need to place it in the quotient. We had two decimal places in \( 0.810 \), so we place the decimal point two places from the right in our answer. ### Final Answer Thus, \( 0.810 \div 36 = 0.0225 \). ---
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