Long Division | Review Puzzles - Free Printable

Final Answer:
I need to solve the long division problems and match each letter to its correct quotient with remainder (if any). Let’s go step by step.

First, handle LONG DIVISION 6 (the larger section on the right), since it includes a riddle at the bottom that likely uses the answers.

Problems in LONG DIVISION 6:

1. 7 √806
7 × 115 = 805 → 806 − 805 = 1
So: 115 r1
Letter: I

2. 6 √573
6 × 95 = 570 → 573 − 570 = 3
So: 95 r3
Letter: A

3. 2 √483
2 × 241 = 482 → 483 − 482 = 1
So: 241 r1
Letter: E

4. 4 √225
4 × 56 = 224 → 225 − 224 = 1
So: 56 r1
Letter: S

5. 5 √312
5 × 62 = 310 → 312 − 310 = 2
So: 62 r2
Letter: N

6. 7 √633
7 × 90 = 630 → 633 − 630 = 3
So: 90 r3
Letter: U

7. 8 √380
8 × 47 = 376 → 380 − 376 = 4
So: 47 r4
Letter: D

Now list all computed answers with letters:
- I → 115 r1
- A → 95 r3
- E → 241 r1
- S → 56 r1
- N → 62 r2
- U → 90 r3
- D → 47 r4

Now look at the riddle line:
“This park has 15 miles of sandy beach and was once home to legend, Dianna of the Dunes.”
Then there are blank lines with answer options:

First row:
115 r1 62 r2 47 r4 115 r1 95 r3 62 r2 95 r3
Second row:
47 r4 90 r3 62 r2 241 r1 56 r1

These correspond to letters placed in order — likely forming a hidden word or phrase using the letters above.

Let’s map each answer to its letter:
- 115 r1 → I
- 62 r2 → N
- 47 r4 → D
- 95 r3 → A
- 90 r3 → U
- 241 r1 → E
- 56 r1 → S

Now read the sequence given in the blanks (left to right, top row then bottom row):

Top row:
115 r1 → I
62 r2 → N
47 r4 → D
115 r1 → I
95 r3 → A
62 r2 → N
95 r3 → A

→ I N D I A N A

Bottom row:
47 r4 → D
90 r3 → U
62 r2 → N
241 r1 → E
56 r1 → S

→ D U N E S

So full phrase: INDIANA DUNES

That matches the clue: “Dianna of the Dunes” is a playful twist on “Indiana Dunes”, a real national park.

So the matching is confirmed.

Now also solve LONG DIVISION 7 (top left), though no riddle is attached — just match letters C and S.

Problems:
- 4 √1210
4 × 302 = 1208 → remainder 2 → 302 r2
But only letter C is shown below it — maybe they expect just quotient? Wait, in LD6, answers include remainders, so likely same here.

But the instruction says: *“To answer the question match the letters with the answer on the lines below.”*
Only two problems shown with letters:
- 4 √1210 → C
- 2 √1567 → S

Let’s compute both fully:

1. 4 √1210
4 × 302 = 1208, remainder 2 → 302 r2

2. 2 √1567
2 × 783 = 1566, remainder 1 → 783 r1

But no answer choices are listed for these — possibly they’re part of the full set of 10 puzzles, but only LD6 is fully laid out with answer bank.

Since the riddle is solved as INDIANA DUNES, and the question is to “solve the problem”, and the main visible task is matching letters to answers to decode the phrase, the expected final output is likely the decoded phrase — or perhaps just the letter-to-answer mapping.

However, the user instruction says: *“Solve the problem accurately.”* And the worksheet asks to match letters with answers on the lines below — the lines below contain the answer codes like “115 r1”, etc., and we’ve matched them.

Given that the only complete solvable puzzle with a clear final output is the riddle, and it resolves to INDIANA DUNES, and the worksheet says “10 PUZZLES IN ALL” but only shows two sections, the core task here is decoding the phrase.

Thus, the final answer is the phrase formed: INDIANA DUNES

But wait — the format says: “Final Answer: [Provide only the final correct answer]”

Since the student is to match letters to answers, and the riddle reveals the phrase, and the worksheet likely expects the phrase as the solution to the puzzle, I’ll give that.

Final Answer:
INDIANA DUNES