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85.702div 0.73=?...

`85.702div 0.73=?`

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To solve the division of 85.702 by 0.73, we can follow these steps: ### Step 1: Rewrite the Division We can express the division as: \[ \frac{85.702}{0.73} \] ### Step 2: Eliminate the Decimal To eliminate the decimal in the divisor (0.73), we can multiply both the numerator and the denominator by 1000 (to make the calculations easier). This gives us: \[ \frac{85.702 \times 1000}{0.73 \times 1000} = \frac{85702}{730} \] ### Step 3: Perform the Division Now we need to divide 85702 by 730. 1. **First Division**: - 730 goes into 857 (the first three digits of 85702) once. - \( 857 - 730 = 127 \) 2. **Bring Down the Next Digit**: - Bring down the next digit (0) to make it 1270. - 730 goes into 1270 once. - \( 1270 - 730 = 540 \) 3. **Bring Down the Next Digit**: - Bring down the next digit (2) to make it 5402. - 730 goes into 5402 seven times. - \( 730 \times 7 = 5110 \) - \( 5402 - 5110 = 292 \) 4. **Bring Down the Next Digit**: - Since there are no more digits, we add a decimal point and a zero (making it 2920). - 730 goes into 2920 four times. - \( 730 \times 4 = 2920 \) - \( 2920 - 2920 = 0 \) ### Step 4: Write the Final Answer The result of the division is: \[ 117.4 \] Thus, \[ 85.702 \div 0.73 = 117.4 \]
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