Understanding Division and Remainders
Division is one of the fundamental operations in mathematics, used to find out how many times one number can be divided into another. In this case, we’re looking to divide 707 by 72.
Performing the Division
To divide 707 by 72, we use long division or a calculator.
- Step 1: Start by dividing 707 by 72 using a calculator or long division method.
📝 Note: Ensure your calculator is set to display decimal places for accuracy.
- Step 2: Record the result.
Understanding the Result
Upon performing the division:
- Result: 707 divided by 72 equals approximately 9.82.
Breaking Down the Result
- Quotient: The quotient is the result of the division, which is approximately 9.82.
- Remainder: To find the remainder, we can subtract the product of the divisor (72) and the quotient (9) from the dividend (707). However, since we’re dealing with decimals, we focus on the whole number quotient for this calculation: 72 * 9 = 648. The remainder is then 707 - 648 = 59.
💡 Note: When dividing with decimals, we can still find the remainder by subtracting the product of the divisor and the whole number part of the quotient from the dividend.
Decimal Places and Rounding
The result, 9.82, indicates that 72 goes into 707 approximately 9 times with a remainder, considering the decimal part represents the fraction of the divisor that fits into the dividend.
Conclusion Without Header
In conclusion, dividing 707 by 72 gives us a quotient of approximately 9.82. Understanding how division works, including quotients and remainders, is crucial for various mathematical and real-world applications.
What is the quotient of 707 divided by 72?
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The quotient of 707 divided by 72 is approximately 9.82.
How do I calculate the remainder of a division problem with decimals?
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To find the remainder, subtract the product of the divisor and the whole number part of the quotient from the dividend.
Why is understanding division important?
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Understanding division is crucial for various mathematical and real-world applications, including calculations involving fractions, percentages, and ratios.
