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Evaluate: 15. 848 div 40...

Evaluate:
`15. 848 div 40`

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The correct Answer is:
To evaluate \( 15.848 \div 40 \), we will follow these steps: ### Step 1: Set up the division We write \( 15.848 \) as the dividend and \( 40 \) as the divisor. ### Step 2: Determine how many times 40 fits into 15 Since \( 40 \) is greater than \( 15 \), it fits \( 0 \) times. We write \( 0 \) above the division line. ### Step 3: Place the decimal point Since we have a decimal in the dividend, we place the decimal point in the quotient directly above the decimal point in the dividend. ### Step 4: Bring down the next digit Now we consider \( 158 \) (the next digits after the decimal). We find how many times \( 40 \) fits into \( 158 \). ### Step 5: Calculate how many times 40 fits into 158 \( 40 \times 3 = 120 \). So, \( 40 \) fits into \( 158 \) a total of \( 3 \) times. ### Step 6: Subtract and bring down the next digit Subtract \( 120 \) from \( 158 \): \[ 158 - 120 = 38 \] Now, bring down the next digit \( 4 \) to make it \( 384 \). ### Step 7: Determine how many times 40 fits into 384 Now we find how many times \( 40 \) fits into \( 384 \): \[ 40 \times 9 = 360 \] So, \( 40 \) fits into \( 384 \) a total of \( 9 \) times. ### Step 8: Subtract again Subtract \( 360 \) from \( 384 \): \[ 384 - 360 = 24 \] Now, bring down the next digit \( 8 \) to make it \( 248 \). ### Step 9: Determine how many times 40 fits into 248 Now we find how many times \( 40 \) fits into \( 248 \): \[ 40 \times 6 = 240 \] So, \( 40 \) fits into \( 248 \) a total of \( 6 \) times. ### Step 10: Final subtraction Subtract \( 240 \) from \( 248 \): \[ 248 - 240 = 8 \] Now, we can bring down another \( 0 \) (to make it \( 80 \)) since we are working with decimals. ### Step 11: Determine how many times 40 fits into 80 Now we find how many times \( 40 \) fits into \( 80 \): \[ 40 \times 2 = 80 \] So, \( 40 \) fits into \( 80 \) a total of \( 2 \) times. ### Step 12: Final subtraction Subtract \( 80 \) from \( 80 \): \[ 80 - 80 = 0 \] There is no remainder. ### Final Answer Thus, the result of \( 15.848 \div 40 \) is \( 0.3962 \). ---
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