To find the quotient of 29.21 divided by 6.23, you can use long division method. Here's the step-by-step process:
1. Start by writing the dividend (29.21) inside the long division symbol, and the divisor (6.23) outside the symbol.
```
______
6.23 | 29.21
```
2. Divide the leftmost digit of the dividend (2) by the divisor (6.23) to get the first digit of the quotient. Write the result above the division line.
```
______
6.23 | 29.21
4
```
3. Multiply the divisor (6.23) by the quotient digit (4) and write the result below the dividend. Then subtract this result from the dividend.
```
______
6.23 | 29.21
- 24.92
```
4. Bring down the next digit from the dividend (9) and place it next to the result obtained from the previous step.
```
______
6.23 | 29.21
- 24.92
41
```
5. Divide the new number (41) by the divisor (6.23) to get the next digit of the quotient. Write the digit above the division line.
```
______
6.23 | 29.21
- 24.92
41
6
```
6. Multiply the divisor (6.23) by the new quotient digit (6) and write the result below. Subtract this result from the current dividend.
```
______
6.23 | 29.21
- 24.92
41
- 24.92
16.08
```
7. Continue this process by bringing down the next digit from the dividend (1) and repeating steps 5 and 6 until there are no more digits to bring down or the desired level of precision is reached.
8. The final result is the quotient obtained from the division process.
Answers & Comments
Answer:
4.68
Step-by-step explanation:
To find the quotient of 29.21 divided by 6.23, you can use long division method. Here's the step-by-step process:
1. Start by writing the dividend (29.21) inside the long division symbol, and the divisor (6.23) outside the symbol.
```
______
6.23 | 29.21
```
2. Divide the leftmost digit of the dividend (2) by the divisor (6.23) to get the first digit of the quotient. Write the result above the division line.
```
______
6.23 | 29.21
4
```
3. Multiply the divisor (6.23) by the quotient digit (4) and write the result below the dividend. Then subtract this result from the dividend.
```
______
6.23 | 29.21
- 24.92
```
4. Bring down the next digit from the dividend (9) and place it next to the result obtained from the previous step.
```
______
6.23 | 29.21
- 24.92
41
```
5. Divide the new number (41) by the divisor (6.23) to get the next digit of the quotient. Write the digit above the division line.
```
______
6.23 | 29.21
- 24.92
41
6
```
6. Multiply the divisor (6.23) by the new quotient digit (6) and write the result below. Subtract this result from the current dividend.
```
______
6.23 | 29.21
- 24.92
41
- 24.92
16.08
```
7. Continue this process by bringing down the next digit from the dividend (1) and repeating steps 5 and 6 until there are no more digits to bring down or the desired level of precision is reached.
8. The final result is the quotient obtained from the division process.
```
______
6.23 | 29.21
- 24.92
41
- 24.92
16.08
- 12.46
3.62
```
Therefore, 29.21÷6.23 equals approximately 4.68.