You nailed the frantic process of starting a job, tabbing out and doing that job, and then tabbing back in to mark it as done. The typing minigame suits this game well.
My only critique is that I would have liked to queue up multiple tasks in the "doing" column so I could line up my work for the day and then knock it all out on the computer at once. It seems that any tasks you move into the "doing" column after the first are ignored by the game.