The remainder after division is found by performing the division operation and identifying the leftover amount that doesn't divide evenly into the divisor. According to the provided YouTube video snippet, the remainder can be found by treating the problem like a long division problem. The remainder will take care of itself at the very end.
Steps to Find the Remainder Using Long Division:
- Set up the long division: Write the dividend (the number being divided) inside the division symbol and the divisor (the number you are dividing by) outside.
- Perform the division: Follow the steps of long division. Determine how many times the divisor goes into the relevant portion of the dividend.
- Multiply: Multiply the quotient (the result of the division) by the divisor.
- Subtract: Subtract the result from the corresponding part of the dividend.
- Bring down: Bring down the next digit of the dividend.
- Repeat: Repeat steps 2-5 until all digits of the dividend have been used.
- Identify the remainder: The number left over at the end of the long division process is the remainder.
Example:
Let's say you want to divide 16 by 14 and find the remainder.
- 14 goes into 16 one time.
- 1 x 14 = 14
- 16 - 14 = 2
Therefore, the remainder is 2.
