The question "How do you do division division?" is a bit ambiguous, but it likely refers to the process of performing long division. Long division is a method for dividing large numbers, breaking the problem down into smaller, more manageable steps. Here's how you perform it, incorporating the provided reference information:
Understanding the Long Division Process
Long division systematically breaks down division into the following steps:
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Setup:
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Identify the dividend and divisor: The dividend is the number being divided, and the divisor is the number doing the dividing. Write the dividend under the division symbol (the “house”) and the divisor to the left of the symbol. For example, if you're dividing 75 by 5, 75 would be the dividend and 5 would be the divisor.
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Example Setup:
Divisor Dividend 5 75
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Divide:
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Look at the leftmost digit (or digits) of the dividend. Determine how many times the divisor goes into that portion of the dividend. For our example: How many times does 5 go into 7? It goes in 1 time.
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Write this number (the quotient) above the division symbol, aligning it with the last digit of the portion of the dividend you are using.
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Example:
1 5 75
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Multiply:
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Multiply the quotient you just wrote by the divisor.
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Write the result below the portion of the dividend you were using.
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Example: Multiply 1 (quotient) * 5 (divisor) = 5
1 5 75 5
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Subtract:
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Subtract the product you wrote in the previous step from the portion of the dividend above it.
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Write the difference below the line.
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Example: Subtract 5 from 7 = 2
1 5 75 5 --- ----- ---- 2
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Bring Down:
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Bring down the next digit of the dividend to the right of the difference.
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Example: Bring down 5 to join 2.
1 5 75 5 --- ----- ---- 25
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Repeat:
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Repeat steps 2-5 with the new number you have formed. In our example, how many times does 5 go into 25? It goes in 5 times. Write 5 on top, then multiply 5 times 5 which is 25 and then subtract and get 0.
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Example:
15 5 75 5 --- ----- ---- 25 25 --- ----- ---- 0
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Remainder:
- If you have no more digits to bring down and your subtraction results in zero, then you're done. If the subtraction results in something other than zero, this is your remainder. In this case, the remainder is 0.
Applying the Division Rule
As mentioned in the references, the division rule involves these four steps, which align with our breakdown:
- Step 1: Identify the dividend (75) and divisor (5) and then write them in the respective places.
- Step 2: Multiply the divisor (5) with a suitable number such that we get a result close to the dividend or the part of the dividend we are focusing on (this is our step 2 and 3 together where we determine 5 goes into 7 one time and 1 * 5 = 5)
- Step 3: Subtract the values in the dividend column (this is our step 4).
Additional Tips
- If at any point, the divisor doesn't go into the partial dividend, write a 0 as the quotient and bring down the next number.
- Practice with various examples to get comfortable.
By following these steps, you can effectively perform long division.