Nine Chapters on Mathematical Art, Vol. 1

Each acts as a list-dividend, and also multiply the divisor by the list numbers. Here one should sum the list numbers to form the equalizing dividend. If
this is done, there are repeating fractions, so one conversely multiplies the common-equalization by the list numbers. We, Chunfeng and others, respectfully note: The text asks about fractions to be equalized whose values are not fixed, whether three or two. The positions are not constant. If there are three to be equalized, one sets up three positions. If there are two, one sets up two. All such cases follow the rule of equalization, and the quantities cannot be predetermined. Therefore, the text simply speaks of the "list numbers."
By subtracting the equalizing dividend from the list-dividend, the remainder is reduced to the amount to be subtracted. Add the subtracted amounts to the lesser quantity, and use the divisor to divide the equalizing dividend; each will then be equalized.

Now suppose there are 7 people dividing 8 and 1/3 coins. Question: How much does each person receive?

Suppose there are 3 and 1/3 people dividing 6 and 1/3 coins.