Continuous division of 3, 5, and 6 can be understood as dividing these numbers in succession by each other or by a constant divisor. Let's go over the following possibilities:

### Case 1: Dividing the numbers one by one
If you perform successive divisions starting with 3 ÷ 5 ÷ 6:

1. First, divide 3 by 5:
   \[
   \frac{3}{5} = 0.6
   \]

2. Next, divide the result by 6:
   \[
   \frac{0.6}{6} = 0.1
   \]

Thus, \( 3 \div 5 \div 6 = 0.1 \).

### Case 2: Dividing all numbers at once
If you want to divide 3 by the product of 5 and 6:

1. First, find the product of 5 and 6:
   \[
   5 \times 6 = 30
   \]

2. Now, divide 3 by 30:
   \[
   \frac{3}{30} = 0.1
   \]

Thus, \( \frac{3}{5 \times 6} = 0.1 \).

In both cases, the result is \( 0.1 \).

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Would you like further details on these steps or clarifications? Here are five related questions for you to explore:

1. How would the result change if we switched the order of the numbers being divided?
2. What happens when you divide fractions in succession?
3. Can continuous division be extended to more than three numbers?
4. How does continuous division differ from repeated multiplication?
5. What are some practical examples where continuous division is useful?

**Tip**: When dividing multiple numbers, it's essential to pay attention to parentheses, as they can change the order of operations and the final result.

Explore how to perform continuous division with the numbers 3, 5, and 6, including detailed steps and multiple approaches. Learn about key arithmetic concepts and the importance of the order of operations. Suitable for students in Grades 5-7.

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