Understanding Division
Division is a fundamental mathematical operation that involves splitting a number into equal parts. In this case, we will divide 528 by 261.
Step-by-Step Solution
1. Set Up the Division
Write 528 as the dividend (the number being divided) and 261 as the divisor (the number you are dividing by).
2. Estimate How Many Times 261 Fits into 528
- Start by estimating.
- Since 261 is close to 300, we can estimate that it may fit about 2 times into 528.
3. Multiply and Subtract
- Calculate 261 x 2 = 522.
- Now, subtract this result from 528:
528 - 522 = 6.
4. Remainder
- The result of the division is 2 with a remainder of 6.
- This can be expressed as:
528 ÷ 261 = 2 R6.
5. Decimal Representation (Optional)
- If you want to express the result as a decimal, continue dividing:
- Add a decimal point and a zero to the remainder (6 becomes 60).
- 261 fits into 60 zero times.
- Add another zero to make it 600.
- 261 fits into 600 approximately 2 times (261 x 2 = 522).
- Remainder is now 78 (600 - 522).
- Repeat this process to get more decimal places.
Conclusion
The final result of 528 ÷ 261 is approximately 2.23 when expressed in decimal form. Thus, the division can be presented as 2 R6 or 2.23, depending on the required format.