separate data in groups based on column values

Question

There is a data table with ~1000 rows.

Item ID	Location	Position
1	China	left
2	US	center
3	Brazil	right
4	US	left
5	France	right
6	France	center

<...>

I need to break this table into groups, of 10 rows, in such a way, that each subtable contains approximately the same N of items from each 'Location' and of each 'Position' as others. For example, if there are 300 items from France, and 399 items from US, each group will contain 3 items from France, and 4 items from US, but one group will be with 3 US items only + other Locations accordingly. At the same time subtables should have a balance number from each 'Position'.

For example

Table 1

Item ID	Location	Position
5	France	right
6	France	center
2	US	center
4	US	left
3	Brazil	right
1	China	left
7	China	center
8	China	left
9	China	right
10	UK	left

Table 2

Item ID	Location	Position
500	France	left
521	France	center
643	US	center
702	US	left
705	India	left
765	China	right
821	China	right
832	China	left
976	Germany	left
977	UK	right

and so on.

So notice, that each group has the same number of items from France, almost the same from China, others are in minority, since there are not that many of them, and each table has approximately the same N of right/left/center