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When 3010301 is divided by 43, the quoti...

When 3010301 is divided by 43, the quotient is

A

70707

B

70007

C

7077

D

7007

Text Solution

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The correct Answer is:
To find the quotient when 30,10,301 is divided by 43, we will perform the long division step by step. ### Step-by-Step Solution: 1. **Set up the division**: We want to divide 30,10,301 by 43. 2. **Divide the first part**: - Look at the first two digits, 30. Since 30 is less than 43, we take the first three digits, which is 301. - Now, we check how many times 43 fits into 301. 3. **Calculate how many times 43 fits into 301**: - 43 goes into 301 approximately 7 times (since 43 x 7 = 301). - Write 7 above the division bar. 4. **Multiply and subtract**: - Multiply 43 by 7, which gives 301. - Subtract 301 from 301, which results in 0. - Bring down the next digit, which is 0. 5. **Continue the division**: - Now we have 0. Since 0 is less than 43, we bring down the next digit, which is 3. - Now we have 03. Since 3 is also less than 43, we bring down the next digit, which is 0. - Now we have 30. Again, 30 is less than 43, so we bring down the next digit, which is 1. - Now we have 301. 6. **Divide again**: - We already calculated that 43 goes into 301 exactly 7 times. - Write another 7 above the division bar. 7. **Multiply and subtract again**: - Multiply 43 by 7, which gives 301. - Subtract 301 from 301, which results in 0. - Since there are no more digits to bring down, we stop here. 8. **Final quotient**: - The final quotient is 70,007. ### Final Answer: The quotient when 30,10,301 is divided by 43 is **70,007**.
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