Answer
The division of 180,000 by 760 is approximately 236.8421.
Solution
Certainly! Let's perform the long division of **180,000** divided by **760** step by step.
### Long Division: 180,000 ÷ 760
```
236.8421...
____________________
760 ) 180000.000000
1520
----
2800
2280
----
5200
4560
----
6400
6080
----
3200
3040
----
1600
1520
----
800
760
----
400
```
### Step-by-Step Explanation
1. **Initial Setup**:
- **Divisor**: 760
- **Dividend**: 180,000
- We'll add decimal places to the dividend to continue the division beyond the whole number.
2. **First Division**:
- Determine how many times 760 fits into the first part of the dividend.
- **760 × 2 = 1520** fits into 1800.
- **Subtract**: 1800 - 1520 = **280**
- **Bring down** the next digit (0) to make it **2800**.
3. **Second Division**:
- **760 × 3 = 2280** fits into 2800.
- **Subtract**: 2800 - 2280 = **520**
- **Bring down** the next digit (0) to make it **5200**.
4. **Third Division**:
- **760 × 6 = 4560** fits into 5200.
- **Subtract**: 5200 - 4560 = **640**
- **Bring down** the next digit (0) to make it **6400**.
5. **Fourth Division**:
- **760 × 8 = 6080** fits into 6400.
- **Subtract**: 6400 - 6080 = **320**
- **Bring down** the next digit (0) to make it **3200**.
6. **Fifth Division**:
- **760 × 4 = 3040** fits into 3200.
- **Subtract**: 3200 - 3040 = **160**
- **Bring down** the next digit (0) to make it **1600**.
7. **Sixth Division**:
- **760 × 2 = 1520** fits into 1600.
- **Subtract**: 1600 - 1520 = **80**
- **Bring down** the next digit (0) to make it **800**.
8. **Seventh Division**:
- **760 × 1 = 760** fits into 800.
- **Subtract**: 800 - 760 = **40**
- **Bring down** the next digit (0) to make it **400**.
9. **Continuing the Process**:
- You can continue adding zeros to the dividend to get more decimal places as needed.
- The division will continue with the remainder getting smaller.
### Final Result
The division of **180,000 ÷ 760** results in:
\[
\frac{180,000}{760} = 236.842105\ldots
\]
So, **180,000 ÷ 760 ≈ 236.8421**
### Summary
- **Whole Number Part**: 236
- **Decimal Part**: Approximately 0.8421
- **Final Answer**: **236.8421**
Reviewed and approved by the UpStudy tutoring team
Explain
Simplify this solution