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How to Do Short Division

January 27, 2024 by admin Category: How To

You are viewing the article How to Do Short Division  at Tnhelearning.edu.vn you can quickly access the necessary information in the table of contents of the article below.

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This article was co-written by David Jia. David Jia is a tutoring teacher and founder of LA Math Tutoring, a private tutoring facility based in Los Angeles, California. With over 10 years of teaching experience, David teaches a wide variety of subjects to students of all ages and grades, as well as college admissions counseling and prep for SAT, ACT, ISEE, etc. scoring 800 in math and 690 in English on the SAT, David was awarded a Dickinson Scholarship to the University of Miami, where he graduated with a bachelor’s degree in business administration. Additionally, David has worked as an instructor in online videos for textbook companies such as Larson Texts, Big Ideas Learning, and Big Ideas Math.

This article has been viewed 27,276 times.

Short division is similar to long division, but allows you to write fewer calculations and do more mental calculations. The general method for both short and long division is the same, but in short division you don’t need to write a lot of calculations and just do the subtraction and multiplication operations mentally. [1] X Research Resources To do short division, you must know how to do basic addition and subtraction. Short division is only applicable when the divisor – the number used to divide, must be less than 10.

Table of Contents

  • Steps
    • Performing short division [2] X Research Source
    • Perform division in special cases
  • Advice

Steps

Performing short division [2] X Research Source

Image titled Do Short Division Step 1

Image titled Do Short Division Step 1

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Write calculations. To write the calculation correctly, you would place the divisor – the number used to divide, outside the division sign. Place the divisor – the number used to divide the divisor, inside the division sign. The quotient or result of the calculation will be above the division sign. Note, to do short division, your divisor must be less than 10.

  • For example, with 847/5 division, the number 5 is the divisor, so you would write it outside the division. The number 847 is the divisor, so it should be placed inside the divisor.
  • The quotient remains blank because you haven’t done the division.
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Image titled Do Short Division Step 2

Image titled Do Short Division Step 2

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Divide the first number of the divisor by the divisor. When dividing, you need to determine how many times a number can be divided by another. For example, the number 6 divided by 2 equals 3 times (2 + 2 + 2 = 6). Continuing with the above example, 8 divided by 5 equals 1, but it’s still not divisible, and there’s a remainder of 3. Write 1, the first number of the quotient, above the division sign. The remainder is the balance.

  • If you were to do a long division, you would write 8 minus 5 as 3, and bring down the 4 in the divisor. Short division shortens this part of the calculation.
Image titled Do Short Division Step 3

Image titled Do Short Division Step 3

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Write the remainder next to the first number of the divisor. Write a small 3 in the upper right corner of an 8. This will help you remember that dividing 8 by 5 leaves a remainder of 3. The next number divided will be the combination of the remainder and the second of the lost number. divide.

  • In the example above, the next divisor is 34.
Image titled Do Short Division Step 4

Image titled Do Short Division Step 4

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Divide the number produced by the first remainder and the second in the divisor. The remainder is 3 and the second of the divisor is 4, so the next divisor will be 34.

  • Now, divide 34 by 5. Thus, 34 divided by 5 equals 6 (5 x 6 = 30) with a remainder of 4.
  • Write the quotient as 6 on the division sign, just to the right of 1.
  • Again, you’ll do some mental math.
Image titled Do Short Division Step 5

Image titled Do Short Division Step 5

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Write the second remainder above the second of the divisor and continue with the division. Similar to how you did it the first time, just write a small 4 in the upper right corner of the 4. The next divided number will be 47.

  • Now, divide 47 by 5. The number 47 divided by 5 equals 9 (5 x 9 = 45) with a remainder of 2.
  • Write the quotient as the 9 above the division sign, and to the right of the 6.
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Image titled Do Short Division Step 6

Image titled Do Short Division Step 6

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Write the final remainder on the division sign. Write “remainder 2” to the right of the quotient on the division sign. The final answer to the 847/5 calculation is 169 remainder 2 or 169.4.

Perform division in special cases

Image titled Do Short Division Step 7

Image titled Do Short Division Step 7

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Understand that the first number of the divisor is not always divisible by the divisor. Sometimes the divisor is greater than the first number of the divisor and you can’t do the division. In this case, you will do the division with the first two numbers of the divisor.

  • For example: 567/7. In this case, 5 cannot divide 7, but 56 divides 7 equals 8. When you do the calculation, you will write the first quotient of the quotient on the number 6 instead of the number 5 and continue to do the division. The final result is 81.
Image titled Do Short Division Step 8

Image titled Do Short Division Step 8

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Add zero to the quotient if the divisor cannot be divided by the divisor. Same as the first case, but this time you will add a zero to the quotient. If you have this problem, just write a zero in the quotient, and try dividing with the next two digits of the divisor until you can’t continue to divide. [3] X Research Sources

  • For example: 3208/8. Where 32 divided by 8 equals 4, but zero cannot be divided by 8. Thus, you will add a zero to the quotient and perform the division with the next divisor. Since 8 divided by 8 equals 1, the final result is 401.
  • Image titled Do Short Division Step 9

    Image titled Do Short Division Step 9

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    Try doing a few more examples. The best way to help you understand short division is to try different calculations. You can do the calculation with the following examples.

    • Divide 748 by 2. So what is 7 divided by 2? Definitely 3 and remainder 1. Write 1 next to 4. Next, what is 14 divided by 2? Even 7. Finally, 8 is divisible by 2 and is 4; so the final answer is 374.
    • Divide 368 by 8. The number 3 cannot be divided by 8, but the number 36 can. So 36 divided by 8 equals 4 and remainder 4 (8 x 4 = 32, 36 – 32 = 4). Write 4 next to 8. Since 48 divided by 8 equals 6, the answer to the calculation is 46.
    • Divide 1228 by 4. The number 1 cannot be divided by 4, but 12 divided by 4 equals 3. The number 2 cannot be divided by 4, so you have to add 0 to the quotient and take 28 divided by 4. The number 28 divided by 4 equals 7, so the result you get is 307.
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  • Advice

    • Check answers. You can check by multiplying the quotient by the divisor and adding the remainder (if any).
    X

    This article was co-written by David Jia. David Jia is a tutoring teacher and founder of LA Math Tutoring, a private tutoring facility based in Los Angeles, California. With over 10 years of teaching experience, David teaches a wide variety of subjects to students of all ages and grades, as well as college admissions counseling and prep for SAT, ACT, ISEE, etc. scoring 800 in math and 690 in English on the SAT, David was awarded a Dickinson Scholarship to the University of Miami, where he graduated with a bachelor’s degree in business administration. Additionally, David has worked as an instructor in online videos for textbook companies such as Larson Texts, Big Ideas Learning, and Big Ideas Math.

    This article has been viewed 27,276 times.

    Short division is similar to long division, but allows you to write fewer calculations and do more mental calculations. The general method for both short and long division is the same, but in short division you don’t need to write a lot of calculations and just do the subtraction and multiplication operations mentally. [1] X Research Resources To do short division, you must know how to do basic addition and subtraction. Short division is only applicable when the divisor – the number used to divide, must be less than 10.

    Thank you for reading this post How to Do Short Division at Tnhelearning.edu.vn You can comment, see more related articles below and hope to help you with interesting information.

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