Musical Chairs

In the traditional game of Musical Chairs, N+1 children run around $N$ chairs (placed in a circle) while music is playing. When the music stops, the children run to sit on available chairs. The child left standing leaves the game, one chair is removed, and the game continues with $N$ children. The last child to sit is the winner.

To adapt this game for modern gaming consoles, the rules are modified as follows: $N$ children are seated on $N$ chairs arranged in a circle. The chairs are numbered from $1$ to $N$. Your program selects a positive number $D$ in advance. The counting starts from the first chair, and when the count reaches $D$, that child leaves the game, and their chair is removed. Counting resumes with the next chair in the circle. The last remaining child is the winner.

For example, in the game shown in the figure above with N = 5 and D = 3, the dot marks the starting point for counting and $\text{×}$ indicates the child who leaves. First, child $\#3$ leaves, and counting restarts with child $\#4$. Child $\#1$ is the second to leave, and counting resumes with child $\#2$, resulting in child $\#5$ leaving. Child $\#2$ is the last to leave, and child $\#4$ is the winner. Given $N$ and $D$, write a program to determine the winner.