To find the remainder when dividing on a calculator, you can use the following method outlined in the provided video reference.
Steps to Calculate Remainder Using a Calculator
Here's a detailed breakdown of the process:
- Perform the Division: Divide the dividend by the divisor using your calculator. For example, if you want to divide 38 by 5, enter
38 ÷ 5. - Identify the Whole Number Part: Note the whole number (the quotient) displayed before the decimal point on your calculator. In our example (38 / 5), the whole number is 7.
- Subtract the Whole Number Quotient: Subtract the whole number you noted from the result on the calculator display. In our example,
7.6 - 7 = 0.6. You are left with only the decimal portion of the number. - Multiply by the Divisor: Now, multiply the decimal result by the original divisor (the number you were dividing by). In the example, we will multiply
0.6 * 5. - The Result is the Remainder: The answer you get after this final multiplication is the remainder. In our example,
0.6 * 5 = 3. Therefore, the remainder when 38 is divided by 5 is 3.
Example
Let's take another example: dividing 23 by 4
- Division:
23 ÷ 4 = 5.75 - Whole Number Part: The whole number part is 5.
- Subtraction:
5.75 - 5 = 0.75 - Multiplication:
0.75 * 4 = 3 - Remainder: The remainder is 3.
Summary in a Table
| Step | Action | Example: 38 ÷ 5 | Example: 23 ÷ 4 |
|---|---|---|---|
| 1. Division | Divide the dividend by the divisor | 38 ÷ 5 = 7.6 | 23 ÷ 4 = 5.75 |
| 2. Whole Number | Note the whole number (quotient) | 7 | 5 |
| 3. Subtraction | Subtract whole number from the result. | 7.6 - 7 = 0.6 | 5.75 - 5 = 0.75 |
| 4. Multiplication | Multiply the decimal part by the original divisor | 0.6 * 5 = 3 | 0.75 * 4 = 3 |
| 5. Remainder Result | The final result is the remainder | Remainder = 3 | Remainder = 3 |
Additional Points
- This method works effectively for finding the remainder of any division problem on a calculator, as highlighted by the Youtube video referenced.
