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In this video we will take a look at what we call "short division".
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Short division is a way to divide numbers by each other, using a type of line-up.
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This method is widely used in primary schools, but it can also be good to know how to use the so-called stair-/lying chair method.
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The lying chair, or the stair method, is important to know, since this method is used in some high school and college classes.
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If we divide two numbers, for example 664/2, the number that is being divided, is called the numerator, and the number that we divide by, is called the denominator.
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The result of the division is called a quota or a quotient.
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We will use the given number 664/2, as our first example using the short division method.
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The first question we ask ourselves is how many times 2 runs in 6?
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The answer to that question i three times. Therefore we place a 3 after the equal sign.
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Next, we ask ourselves how many times 2 runs in the following number.
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The following number is again number 6, so thereby 2 runs 3 times in 6
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Lastly, we ask ourselves how many times 2
runs in 4, and here, the answer is 2
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Now, we have walked through all the numbers in the numerator, and thereby, our division is complete. Our final answer is 332
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We will continue with a few more examples on short division.
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Next up, we are to calculate 684 / 6
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How many times, does 6 run in 6? The answer is 1, and thereby we write a 1 next to the equal sign.
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Now, we ask how many times 6 run in 8? 6 only run 1 time in 8, so we thereby write another 1, on the right hand side of the equal sign.
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But we are not finished here. There are 2 left in the 8, after taking out the 6, so then we write a 2 diagonally above the 8
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In the next step, we combine the remaining 2 with the 4. We thereby ask ourselves how many times 6 can run in 24
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The answer to that question is 4 times, and a 4 is thereby placed after the equal sign.
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Now, since we have divided all the digits in the numerator by 6, or calculation is finished and we have our answer, which is 114.
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We continue to practice short division, and will now calculate 38 / 4.
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We start, just like before, by asking ourselves how many times 4 can run in 3. But, in this case this can only come out as a rational number, so we instead move up the 3, and ask how many times 4 can run in 38
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4 can run up to 9 times in 38, since 4 · 9 = 36
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So we write the number 9 in our quota, and then write the remaining 2, from 38, above the 8
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Since we don't have any more digits after the 8, to combine the remaining 2 with, we write out a point followed by a 0
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Now, we can continue by asking how many times 4 can run in 20? The answer is 5, so we write a 5 after the point.
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We have no remaining numbers, so our calculation is done. Our answer is 9.5
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We will finish this video with one final example.
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This time we will calculate 35.8 / 4
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Again, 4 doesn't run in 3, so instead we ask how many times 4 goes into 35
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4 goes 8 times in 35, since 4 · 8 = 32. Then we write an 8 after the equal sign.
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Now, we have 3 remaining, so we place a 3 diagonally above 35
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4 will run 9 times in 38, since 4 · 9 = 36. But before we write the 9 after the equal sign, it's important to remember to first write the point.
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Here we got 2 remaining, so again we write this digit diagonally above the previous digit, which in this case is an 8
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We add a 0 after the 8, and then calculate how many times 4 rum on 20. The answer is 5 and we write a 5 in our quota.
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We are now done and our answer is 8.95