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Divide : 0.02324 div 0.28...

Divide :
`0.02324 div 0.28`

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To solve the division of \( 0.02324 \div 0.28 \), we can follow these steps: ### Step 1: Eliminate the Decimal Points To make the division easier, we can eliminate the decimal points by multiplying both the dividend (0.02324) and the divisor (0.28) by 100. This is because the divisor has two decimal places. \[ 0.02324 \times 100 = 2.324 \] \[ 0.28 \times 100 = 28 \] Now, we need to divide \( 2.324 \) by \( 28 \). ### Step 2: Perform the Division Next, we will divide \( 2.324 \) by \( 28 \). We can ignore the decimal point for now and treat it as \( 2324 \) divided by \( 28 \). 1. **Divide 2324 by 28**: - First, we see how many times \( 28 \) can go into \( 232 \) (the first three digits of \( 2324 \)). It goes \( 8 \) times because \( 28 \times 8 = 224 \). - Subtract \( 224 \) from \( 232 \): \[ 232 - 224 = 8 \] - Bring down the next digit \( 4 \) to make it \( 84 \). - Now, see how many times \( 28 \) can go into \( 84 \). It goes \( 3 \) times because \( 28 \times 3 = 84 \). - Subtract \( 84 \) from \( 84 \): \[ 84 - 84 = 0 \] So, \( 2324 \div 28 = 83 \). ### Step 3: Place the Decimal Point Now, we need to place the decimal point in our answer. Since we initially multiplied both numbers by \( 100 \) (which means we shifted the decimal point two places to the right), we need to shift the decimal point in our answer back two places to the left. Thus, \( 83 \) becomes \( 0.083 \). ### Final Answer The final result of \( 0.02324 \div 0.28 \) is: \[ \boxed{0.083} \] ---
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