Final answer:
To divide a mixed number by a whole number, convert the mixed number to an improper fraction, divide the numerator by the whole number, and keep the denominator the same.
Step-by-step explanation:
To divide a mixed number by a whole number, you need to first convert the mixed number into an improper fraction. In this case, the mixed number is 9 1/6, which can be converted into the improper fraction 55/6. Then, you divide the numerator of the fraction (55) by the whole number (5), which gives you 11. Finally, you keep the denominator (6) the same.
So, the division of 9 1/6 divided by 5 is equal to 11/6.