Display screen or portion thereof of a remote control device with graphical user interface

FIG. 1 is a front elevational view of a remote control device with a display screen with graphical user interface showing our new design;

FIG. 2 is an enlarged, isolated front view of display screen thereof showing the first image in a sequence;

FIG. 3 is a front view of the display screen showing a second image in the sequence;

FIG. 4 is a front view of the display showing a third image in the sequence;

FIG. 5 is a front view of the display showing a fourth image in the sequence; and,

FIG. 6 is a front view of the display showing a fifth image in the sequence.

The appearance of the transitional image sequentially transitions between the images shown in FIGS. 2-6 . The process or period in which one image transitions to another image forms no part of the claimed design.

The innermost broken line rectangle shown in FIG. 1 and the corresponding broken-line rectangle shown in the remaining figures illustrate a display screen and form no part of the claimed design. The remaining broken lines shown in FIG. 1 illustrate portions of a remote control device and form no part of the claimed design.