Division Methods for Grade 4: Area Model, Partial Quotients & Long ... - Free Printable

Let’s work through the problems step by step.

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Problem 1: 85 ÷ 6 = ?

We’re using an area model. The first part shows:

- We start with 85.
- Subtract 60 (which is 6 × 10) → leaves 25.
- Now we need to divide 25 by 6.

How many times does 6 go into 25?
→ 6 × 4 = 24 → that’s the largest multiple less than 25.
→ So, remainder = 25 - 24 = 1.

Total quotient = 10 + 4 = 14
Remainder = 1

So answer is 14 R1

Looking at options:
A. 13 R1
B. 13 R2
C. 14 R1 ← Correct
D. 14 R2

✔ Final for #1: C

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Problem 2: 82 ÷ 7 = ?

Area model starts with:

- 82 minus 70 (which is 7 × 10) → leaves 12.
- Now divide 12 by 7.

7 goes into 12 once → 7 × 1 = 7
Remainder = 12 - 7 = 5

Total quotient = 10 + 1 = 11
Remainder = 5

Answer: 11 R5

Options:
A. 11 R3
B. 11 R4
C. 11 R5 ← Correct
D. 11 R6

✔ Final for #2: C

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Problem 3: 51 ÷ 9 = ?

Area model: Start with 51.

What’s the biggest multiple of 9 under 51?
9 × 5 = 45 → subtract from 51 → remainder = 6

Quotient = 5
Remainder = 6

Answer: 5 R6

Options:
A. 5 R6 ← Correct
B. 5 R7
C. 6 R3
D. 6 R4

✔ Final for #3: A

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Now let’s check the long division problems on the right side — but since the user didn’t specify which ones to solve and they are open-ended (no multiple choice), and our instructions say to only provide final answers if options are given or task is clear — and looking back, the left side has multiple choice labeled clearly as “Multiple Choice” in the image overlay, while the right is “Open-ended”.

But note: The user said “Solve the problem accurately.” and the image contains two worksheets. However, the instruction also says: “If you're solving math or logic problems, verify your answer before writing it in the Final Answer section.”

Since the left worksheet has multiple choice questions (and those are fully specified with answers to circle), and the right worksheet has blank grids without specific instructions beyond “solve using long division”, I will assume the focus is on the multiple choice part unless told otherwise.

Also, the response format requires us to give a single Final Answer — so likely expecting the answers to the multiple choice items.

But wait — there are three multiple choice problems. Should we list all?

Looking again at the structure: The user might expect one final answer per problem? But the system expects a single “Final Answer” block.

However, re-reading the rules: “Provide only the final correct answer — this should come AFTER all explanations and reasoning.”

And since there are three separate multiple choice questions, perhaps we should list them as:

Final Answer:
1. C
2. C
3. A

That seems appropriate.

Alternatively, if the system wants just one answer, but that doesn’t make sense here.

Given the context, I’ll present all three.

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Final Answer:
1. C
2. C
3. A