Color by Division math worksheet for practicing division facts.

Problem Description:

The task involves solving a series of division problems and using the results to color a picture according to a provided key. The key assigns specific colors to certain numbers, and the goal is to solve each division problem, determine the result, and then color the corresponding section of the image with the appropriate color.

Solution Approach:

1. Understand the Key: The key at the bottom of the image maps numbers to specific colors. For example:
- 4 → White
- 1 → Yellow
- 8 → Green
- 5 → Orange
- 2, 4 → Blue
- 6, 10 → Red
- 7 → Purple

2. Solve Each Division Problem: Calculate the result of each division problem in the image. Ensure that the division is performed correctly and that the quotient is an integer (as implied by the context).

3. Match Results to Colors: Use the key to determine which color corresponds to each quotient.

4. Color the Image: Color each section of the image according to the results of the division problems.

Step-by-Step Solution:

#### Division Problems and Solutions:
1. 5 ÷ 5 = 1 → Color: Yellow
2. 8 ÷ 2 = 4 → Color: White
3. 4 ÷ 1 = 4 → Color: White
4. 5 ÷ 1 = 5 → Color: Orange
5. 15 ÷ 3 = 5 → Color: Orange
6. 8 ÷ 8 = 1 → Color: Yellow
7. 24 ÷ 4 = 6 → Color: Red
8. 4 ÷ 1 = 4 → Color: White
9. 18 ÷ 2 = 9 → No match in key (likely an error or special case)
10. 6 ÷ 3 = 2 → Color: Blue
11. 20 ÷ 2 = 10 → Color: Red
12. 2 ÷ 1 = 2 → Color: Blue
13. 8 ÷ 4 = 2 → Color: Blue
14. 27 ÷ 3 = 9 → No match in key (likely an error or special case)
15. 30 ÷ 5 = 6 → Color: Red
16. 10 ÷ 1 = 10 → Color: Red
17. 12 ÷ 2 = 6 → Color: Red
18. 18 ÷ 3 = 6 → Color: Red
19. 10 ÷ 2 = 5 → Color: Orange
20. 14 ÷ 2 = 7 → Color: Purple
21. 7 ÷ 1 = 7 → Color: Purple
22. 24 ÷ 3 = 8 → Color: Green
23. 32 ÷ 4 = 8 → Color: Green
24. 28 ÷ 4 = 7 → Color: Purple
25. 21 ÷ 3 = 7 → Color: Purple
26. 5 ÷ 2 = 2.5 → No match in key (not an integer)
27. 8 ÷ 1 = 8 → Color: Green
28. 16 ÷ 4 = 4 → Color: White
29. 12 ÷ 3 = 4 → Color: White
30. 5 ÷ 1 = 5 → Color: Orange
31. 15 ÷ 3 = 5 → Color: Orange
32. 12 ÷ 4 = 3 → No match in key (likely an error or special case)

#### Observations:
- Some division problems result in numbers not listed in the key (e.g., 9, 2.5, 3). These may be intentional "special cases" or errors in the worksheet.
- For simplicity, we will only focus on the valid matches based on the key.

Final Answer:

After solving all the division problems and matching them to the key, the image should be colored as follows:
- Sections with quotients of 1: Yellow
- Sections with quotients of 2 or 4: Blue
- Sections with quotients of 5: Orange
- Sections with quotients of 6 or 10: Red
- Sections with quotients of 7: Purple
- Sections with quotients of 8: Green
- Sections with quotients of 4: White

The final colored image will reflect these rules. Since I cannot physically color the image, the solution is presented in the form of instructions above.

$$
\boxed{\text{Follow the steps above to color the image.}}
$$