Mary volunteered at the Red Cross office. She packed boxes of food to be taken to families whose homes had been destroyed by a tornado. The tornado was huge and many families were in the Red Cross shelter. In 5 days, Mary and 13 other volunteers packed 1306 boxes of food. What was the average number of boxes packed per volunteer each day? Round your answer to the nearest whole number.
There were 14 total volunteers, with an average of $\frac{1306}{5*14}=\frac{1306}{70} \approx \boxed{19}$ per volunteer per day.