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The image contains four long division problems where the remainders are expected to be expressed as fractions. I will go through the steps for each division problem and provide the solution.

### 1. \( \frac{486}{23} \)
We need to divide 486 by 23.

- 23 goes into 48 two times (2), because \( 23 \times 2 = 46 \).
- Subtract 46 from 48: \( 48 - 46 = 2 \).
- Bring down the next digit (6), so now we have 26.
- 23 goes into 26 one time (1), because \( 23 \times 1 = 23 \).
- Subtract 23 from 26: \( 26 - 23 = 3 \).
- The remainder is 3, so the answer is \( 21 \frac{3}{23} \).

### 2. \( \frac{680}{45} \)
Next, we divide 680 by 45.

- 45 goes into 68 one time (1), because \( 45 \times 1 = 45 \).
- Subtract 45 from 68: \( 68 - 45 = 23 \).
- Bring down the next digit (0), so now we have 230.
- 45 goes into 230 five times (5), because \( 45 \times 5 = 225 \).
- Subtract 225 from 230: \( 230 - 225 = 5 \).
- The remainder is 5, so the answer is \( 15 \frac{5}{45} \), which simplifies to \( 15 \frac{1}{9} \).

### 3. \( \frac{682}{56} \)
Now, divide 682 by 56.

- 56 goes into 68 one time (1), because \( 56 \times 1 = 56 \).
- Subtract 56 from 68: \( 68 - 56 = 12 \).
- Bring down the next digit (2), so now we have 122.
- 56 goes into 122 two times (2), because \( 56 \times 2 = 112 \).
- Subtract 112 from 122: \( 122 - 112 = 10 \).
- The remainder is 10, so the answer is \( 12 \frac{10}{56} \), which simplifies to \( 12 \frac{5}{28} \).

### 4. \( \frac{551}{83} \)
Finally, divide 551 by 83.

- 83 goes into 55 zero times (0), so we consider 551 as a whole.
- 83 goes into 551 six times (6), because \( 83 \times 6 = 498 \).
- Subtract 498 from 551: \( 551 - 498 = 53 \).
- The remainder is 53, so the answer is \( 6 \frac{53}{83} \).

### Final Answers:
1. \( 21 \frac{3}{23} \)
2. \( 15 \frac{1}{9} \)
3. \( 12 \frac{5}{28} \)
4. \( 6 \frac{53}{83} \)

Would you like further details on any of these steps or have additional questions?

Here are five related questions to consider:
1. How do you convert remainders into fractions in division problems?
2. How do you simplify fractions after division?
3. What is the process of long division when the divisor is larger than the first digit of the dividend?
4. How can you check if a remainder fraction is in its simplest form?
5. How do you handle remainders when dividing decimals?

**Tip:** When simplifying fractions, always look for the greatest common divisor (GCD) between the numerator and denominator.

Solve the following long division problems and express remainders as fractions: 486 ÷ 23, 680 ÷ 45, 682 ÷ 56, 551 ÷ 83.

Learn how to solve long division problems with remainders expressed as fractions. Step-by-step solutions for 486 ÷ 23, 680 ÷ 45, 682 ÷ 56, and 551 ÷ 83, including simplification of the fractional remainders.

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