I see the division worksheet uploaded. Let's solve each of the four problems step by step with detailed explanations:

Problem (1):

$974 \div 31$

1. Estimate: 31 goes into 97 approximately $3$ times (since $31 \times 3 = 93$).
2. Subtract $93$ from $97$:
   $97 - 93 = 4$. Bring down the next digit (4), so the new number is $44$.
3. Determine how many times $31$ goes into $44$:
   It goes $1$ time (since $31 \times 1 = 31$).
4. Subtract $31$ from $44$:
   $44 - 31 = 13$, which is the remainder.

Quotient: $31$
Remainder: $13$

Problem (2):

$600 \div 32$

1. Estimate: 32 goes into 60 approximately $1$ time (since $32 \times 1 = 32$).
2. Subtract $32$ from $60$:
   $60 - 32 = 28$. Bring down the next digit (0), so the new number is $280$.
3. Determine how many times $32$ goes into $280$:
   It goes $8$ times (since $32 \times 8 = 256$).
4. Subtract $256$ from $280$:
   $280 - 256 = 24$, which is the remainder.

Quotient: $18$
Remainder: $24$

Problem (3):

$974 \div 33$

1. Estimate: 33 goes into 97 approximately $2$ times (since $33 \times 2 = 66$).
2. Subtract $66$ from $97$:
   $97 - 66 = 31$. Bring down the next digit (4), so the new number is $314$.
3. Determine how many times $33$ goes into $314$:
   It goes $9$ times (since $33 \times 9 = 297$).
4. Subtract $297$ from $314$:
   $314 - 297 = 17$, which is the remainder.

Quotient: $29$
Remainder: $17$

Problem (4):

$715 \div 34$

1. Estimate: 34 goes into 71 approximately $2$ times (since $34 \times 2 = 68$).
2. Subtract $68$ from $71$:
   $71 - 68 = 3$. Bring down the next digit (5), so the new number is $35$.
3. Determine how many times $34$ goes into $35$:
   It goes $1$ time (since $34 \times 1 = 34$).
4. Subtract $34$ from $35$:
   $35 - 34 = 1$, which is the remainder.

Quotient: $21$
Remainder: $1$

Let me know if you'd like further clarification on any of the steps!

Follow-Up Questions:

1. How do you verify the quotient and remainder in a division problem?
2. What happens if the remainder is 0 in a division problem?
3. Can you explain how estimation is used in long division?
4. Why is it important to bring down digits one at a time in long division?
5. How can you express a division problem with a remainder as a decimal?

Tip:

When dividing, always double-check multiplication results to ensure the accuracy of your quotient and remainder.