Solve Division Problem: 10.2 ÷ 200 Step by Step

To solve this problem, we'll follow these steps:

• Step 1: Understand the division involved by recognizing the division problem $\frac{10.2}{200}$.
• Step 2: Simplify the division by recognizing how division by 200 affects the decimal point.
• Step 3: Perform the calculation step-by-step by treating the division as a decimal operation.

Let's address each step:

Step 1: We need to divide 10.2 by 200. This can be viewed as scaling down 10.2 by a factor of 200.

Step 2: When dividing by a number like 200, one approach is to consider how the decimal point will shift. Each "zero" in the divisor typically implies moving the decimal point in the dividend to the left. Since 200 is effectively 2 followed by two zeros, dividing by 200 means moving the decimal point two places to the left in the number 10.2.

Step-by-step:

1. Take 10.2 as the original number.

2. Move the decimal point two places to the left because you are dividing by 200 (equivalent to dividing by 100 then 2, which means two decimal places move).

3. As you move the decimal point in 10.2 to the left, you start by moving from after the "0" in "10.2", resulting in 0.102, and then move it one more spot to obtain 0.051.

Step 3: Therefore, the solution to the problem is:

$0.051$