Report Offensive Message

The quickest and easiest was is to place your cursor in the first row that breaks to the next page and select the break table option. Then you can add a title above the second half of the table that says continued.
An alternative that does not break the table is to add an empty row and put the continued title in that row (merge the cells and delete the appropriate borders/shading for appearance. Select just the text in the row and set the paragraph formatting to "Page Break before." This will break the table in the right place without actually breaking the table. It is easier to change when material is added or removed before the table.
Hope this helps.