Long division is a mathematical process used to divide large numbers by breaking them down into smaller, more manageable chunks. It involves dividing a larger number (dividend) by a smaller number (divisor) to obtain a quotient and a remainder.
How To Do Long Division Step By Step
Here are the steps to perform long division:
1. Write the dividend (the number being divided) inside the long division symbol, with the divisor on the left.
2. Divide the first digit of the dividend by the divisor, and write the quotient above the long division symbol.
3. Multiply the quotient by the divisor, and write the result under the first digit of the dividend.
4. Subtract the result obtained in step 3 from the first digit of the dividend.
5. Bring down the next digit of the dividend, and write it next to the remainder of step 4.
6. Repeat steps 2 to 5 until there are no more digits left in the dividend.
7. The final quotient is the result of the division.
Here’s an example:
567 | 7
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5
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67
63
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4
In this example, 567 is the dividend and 7 is the divisor. The first digit of the dividend is 5, which is smaller than the divisor. So we bring down the next digit (6) and place it next to 5, making it 56. We then divide 56 by 7, getting a quotient of 8. We write 8 above the line and multiply it by the divisor, getting 56. We subtract 56 from 56, getting 0. We then bring down the next digit (7) and place it next to 0, making it 7. We then divide 7 by 7, getting a quotient of 1. We write 1 above the line and multiply it by the divisor, getting 7. We subtract 7 from 7, getting 0. Since there are no more digits left in the dividend, the final quotient is 81, with a remainder of 4.
Why Is Long Division Important
Long division is an important skill in math because it helps us to divide large numbers accurately. It is also useful in solving a wide range of math problems, such as fractions, decimals, and percentages. Students who master long division are better equipped to handle more advanced math topics in the future.
Or
Another method of performing long division is the polynomial division method. This method is used to divide polynomials, which are expressions containing variables and coefficients. The dividend and divisor are written in descending order of degree, and the process is similar to long division of numbers. The final quotient is a polynomial, and the remainder may or may not be zero.
Who
Anyone who needs to divide large numbers, such as students, mathematicians, and scientists, can benefit from learning long division. It is also useful in everyday life, such as splitting bills and calculating interest rates.
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