$38 \overline{)27664}$
Answer (2)
The result of the long division 27664 ÷ 38 is 728. This is calculated by repeatedly dividing, multiplying, and subtracting as we bring down each digit of the dividend. The process shows how many times 38 fits into 27664 with the final answer being 728 .
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Divide 276 by 38 to get 7, multiply 7 × 38 = 266 , and subtract from 276 to get 10.
Bring down the next digit 6, divide 106 by 38 to get 2, multiply 2 × 38 = 76 , and subtract from 106 to get 30.
Bring down the last digit 4, divide 304 by 38 to get 8, multiply 8 × 38 = 304 , and subtract from 304 to get 0.
The result of the long division is 728 .
Explanation
Understanding the Problem We are asked to perform the long division 38 i g h t ha r p oo n u p 27664 . This means we want to find out how many times 38 goes into 27664.
First Division First, we look at the first three digits of the dividend, 276. We want to find the largest whole number that, when multiplied by 38, is less than or equal to 276. We can estimate this by dividing 276 by 38. The result of this division is 7.
First Multiplication and Subtraction Now, we multiply 38 by 7: 38 × 7 = 266 . We subtract this from 276: 276 − 266 = 10 .
Bringing Down the Next Digit Next, we bring down the next digit from the dividend, which is 6. We now have 106. We want to find the largest whole number that, when multiplied by 38, is less than or equal to 106. We can estimate this by dividing 106 by 38. The result of this division is 2.
Second Multiplication and Subtraction Now, we multiply 38 by 2: 38 × 2 = 76 . We subtract this from 106: 106 − 76 = 30 .
Bringing Down the Last Digit Next, we bring down the last digit from the dividend, which is 4. We now have 304. We want to find the largest whole number that, when multiplied by 38, is less than or equal to 304. We can estimate this by dividing 304 by 38. The result of this division is 8.
Third Multiplication and Subtraction Now, we multiply 38 by 8: 38 × 8 = 304 . We subtract this from 304: 304 − 304 = 0 .
Final Result Since the remainder is 0, the long division is complete. The quotient is 728. Therefore, 27664 ÷ 38 = 728 .
Final Answer Thus, the result of the long division 38 i g h t ha r p oo n u p 27664 is 728 .
Examples
Long division is a fundamental arithmetic operation used in various real-life scenarios. For instance, imagine you're a teacher with 27,664 crayons to distribute equally among 38 students. By performing long division, you can determine that each student receives 728 crayons. This ensures fair distribution and helps manage resources efficiently.
