Study the figures given below and choose the figure that will be most suitable to continue the pattern given above.

Let's systematically observe the elements in the series:
1. The outer arc/handle element: It switches positions symmetrically at the top-left, top-right, or flips upside-down along the top border. Specifically, it cycles through locations.
2. The inner quadrant circle element: * Figure 1: Bottom-left shaded quadrant.
* Figure 2: Bottom-right shaded quadrant.
* Figure 3: Top-right shaded quadrant.
* Figure 4: Top-left shaded quadrant.
* This inner quadrant element is rotating $90^{\circ }$ counter-clockwise in each successive frame.

3. Following this pattern for the $5^{\text{th}}$ figure, the shaded inner quadrant must move back to the bottom-left position.

Looking at the options where the inner quarter circle is at the bottom-left corner:

* Figure I has the inner quadrant at the bottom-left.

Thus, Figure I is the correct figure to continue the series.