Question
long division 26)57.2
Answers
GPT-4o mini
To perform long division of 57.2 by 26, you can follow these steps:
1. **Set Up the Division**: Write it in long division format. We are dividing 57.2 by 26.
2. **Convert 57.2 to an Integer**: To make division easier, you can consider 57.2 as 572 by moving the decimal point one place to the right. However, remember to place the decimal point in the result accordingly.
3. **Divide 26 into 572**:
- **First**, see how many times 26 can fit into the first part of 572 (which is 57). It doesn’t fit, so you consider the full number 572.
- **Second**, calculate how many times 26 fits into 572:
- \(26 \times 2 = 52\) (this fits)
- \(26 \times 3 = 78\) (this does not fit)
- So, 26 fits into 572 two times.
4. **Subtract**:
- Write 2 above the 572, then multiply \(26 \times 2 = 52\) and subtract:
- \(572 - 52 = 22\).
5. **Bring Down the Next Digit**: Bring down the next digit (which was 0 since we’re treating it as 5720 when scaling), making it 220.
6. **Divide Again**:
- Now divide 26 into 220.
- \(26 \times 8 = 208\) (which fits)
- \(26 \times 9 = 234\) (too high)
- So, 26 fits into 220 eight times.
7. **Subtract Again**:
- Write 8 above the line next to 2.
- Multiply \(26 \times 8 = 208\) and subtract:
- \(220 - 208 = 12\).
8. **Bring Down the Next Digit**: Since there are no more digits, you can still consider it as 120 (by adding a decimal, it becomes 120.0).
9. **Final Division**:
- Now divide 26 into 120:
- \(26 \times 4 = 104\) (fits)
- \(26 \times 5 = 130\) (too high)
- So, 26 fits into 120 four times.
10. **Final Subtraction**:
- Write 4 above the line next to 8.
- Multiply \(26 \times 4 = 104\) and subtract:
- \(120 - 104 = 16\).
11. **Conclusion**: The final result will end with a decimal point. Therefore, you have:
\[
57.2 ÷ 26 = 2.84
\]
with a remainder of 16. To express the answer as a decimal (since there are no more digits), we just stop here.
Thus,
\[
\frac{57.2}{26} \approx 2.84
\]
1. **Set Up the Division**: Write it in long division format. We are dividing 57.2 by 26.
2. **Convert 57.2 to an Integer**: To make division easier, you can consider 57.2 as 572 by moving the decimal point one place to the right. However, remember to place the decimal point in the result accordingly.
3. **Divide 26 into 572**:
- **First**, see how many times 26 can fit into the first part of 572 (which is 57). It doesn’t fit, so you consider the full number 572.
- **Second**, calculate how many times 26 fits into 572:
- \(26 \times 2 = 52\) (this fits)
- \(26 \times 3 = 78\) (this does not fit)
- So, 26 fits into 572 two times.
4. **Subtract**:
- Write 2 above the 572, then multiply \(26 \times 2 = 52\) and subtract:
- \(572 - 52 = 22\).
5. **Bring Down the Next Digit**: Bring down the next digit (which was 0 since we’re treating it as 5720 when scaling), making it 220.
6. **Divide Again**:
- Now divide 26 into 220.
- \(26 \times 8 = 208\) (which fits)
- \(26 \times 9 = 234\) (too high)
- So, 26 fits into 220 eight times.
7. **Subtract Again**:
- Write 8 above the line next to 2.
- Multiply \(26 \times 8 = 208\) and subtract:
- \(220 - 208 = 12\).
8. **Bring Down the Next Digit**: Since there are no more digits, you can still consider it as 120 (by adding a decimal, it becomes 120.0).
9. **Final Division**:
- Now divide 26 into 120:
- \(26 \times 4 = 104\) (fits)
- \(26 \times 5 = 130\) (too high)
- So, 26 fits into 120 four times.
10. **Final Subtraction**:
- Write 4 above the line next to 8.
- Multiply \(26 \times 4 = 104\) and subtract:
- \(120 - 104 = 16\).
11. **Conclusion**: The final result will end with a decimal point. Therefore, you have:
\[
57.2 ÷ 26 = 2.84
\]
with a remainder of 16. To express the answer as a decimal (since there are no more digits), we just stop here.
Thus,
\[
\frac{57.2}{26} \approx 2.84
\]