Division can be an intimidating concept when we first encounter it, but with the right guidance and practice, it can become a straightforward and valuable skill for solving mathematical problems. In this step-by-step guide, we will walk you through the process of mastering division.

What is division?

Division is a mathematical operation that involves dividing a number (dividend) by another number (divisor) to find out how many times the divisor can be subtracted from the dividend. The result of division is called the quotient.

How do I set up a division problem?

Setting up a division problem correctly is the first crucial step towards finding the quotient. Follow these steps:

  • Write the dividend (the number being divided) inside the division bracket.
  • Write the divisor (the number dividing the dividend) outside the division bracket, to the left.
  • Leave space for the quotient above the line.

For example:

    42
  _______
  7 | 294

How do I divide?

Now that the problem is set up, you can begin the process of division:

  1. Start with the leftmost digit of the dividend.
  2. Ask yourself, ‘How many times does the divisor go into the selected digit?’
  3. Write this number above the division bracket as the first digit of the quotient.
  4. Multiply the divisor by the digit in the quotient and write the result below the dividend.
  5. Subtract the result from the corresponding digits of the dividend.
  6. Bring down the next digit of the dividend.
  7. Repeat steps 2-6 until you have brought down all the digits.

Let’s go through an example to illustrate the process:

    2
  _______
  7 | 294
    - 28
    -----
      14
      - 14
      -----
       0

What do I do if the divisor does not go evenly into a digit?

If the divisor does not go evenly into a digit, follow these additional steps:

  • Once you have subtracted, bring down the next digit of the dividend.
  • Continue dividing as before.
  • If the divisor does not go evenly into any remaining digits of the dividend, write a decimal point above the division bracket. Add zeros after the decimal point and bring down the next digit.
  • Repeat the process until you reach the desired level of precision or until the division terminates.

Division is a fundamental mathematical operation that allows us to distribute and allocate numbers. By following these step-by-step instructions, you can conquer division and solve complex problems with ease. Remember, practice makes perfect, so keep honing your division skills!

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