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Evaluate: 12.18 div 28...

Evaluate:
`12.18 div 28`

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To evaluate \( 12.18 \div 28 \), we will perform the division step by step, taking care of the decimal point. ### Step-by-step Solution: 1. **Set up the division**: We will divide 12.18 by 28. To make it easier, we can ignore the decimal for now and consider it as 121.8 (we will adjust for the decimal later). 2. **Convert to whole numbers**: Since we are dividing a decimal, we can multiply both the dividend and the divisor by 10 to eliminate the decimal. This means we will divide 121.8 by 28. 3. **Perform the division**: - First, we find how many times 28 can go into 121. - 28 goes into 121 four times (since \( 28 \times 4 = 112 \)). - Write down 4 as the first digit of the quotient. 4. **Subtract**: - Now, subtract \( 112 \) from \( 121 \): \[ 121 - 112 = 9 \] 5. **Bring down the next digit**: - Bring down the 8 from 121. Now we have 98. 6. **Continue the division**: - Now, we find how many times 28 goes into 98. - 28 goes into 98 three times (since \( 28 \times 3 = 84 \)). - Write down 3 next to the 4 in the quotient. 7. **Subtract again**: - Now, subtract \( 84 \) from \( 98 \): \[ 98 - 84 = 14 \] 8. **Bring down another zero**: - Since we still have a remainder, we can bring down a zero to make it 140. 9. **Final division step**: - Now, find how many times 28 goes into 140. - 28 goes into 140 exactly five times (since \( 28 \times 5 = 140 \)). - Write down 5 next to the previous digits in the quotient. 10. **Final subtraction**: - Subtract \( 140 \) from \( 140 \): \[ 140 - 140 = 0 \] 11. **Adjust for the decimal**: - Since we initially moved the decimal one place to the right (from 12.18 to 121.8), we need to place the decimal point in our answer. The quotient is \( 0.435 \). ### Final Answer: \[ 12.18 \div 28 = 0.435 \]
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