Simple rule - Use tables for tabular data, use other elements for presentation(designing layouts using css) like div, section, aside, nav etc . which provides meaning to the content they hold rather than using table for everything
The fact is, developers used tables in 90s for drafting their layouts, but now, new CSS3 spec is amazing, it gives you so much hold on designing layouts like Flex Box, column-count, behavior of the box model can be altered by using box-sizing property, responsive designs are getting better and better using @media queries, grids etc., which you cannot achieve with table element... and hence, table is only used for storing tabular data.
I've seen many developers having an impression that table should be completely ignored, and instead they use a whole lot of div with 100 lines of CSS, applying display: table; table-cell table-row properties just to get a single table straight.
So even in HTML5 it is COMPLETELY OK if you use tables for tabular data.
From W3 Org : (v4.01)
Tables should not be used purely as a means to layout
document content as this may present problems when rendering to
non-visual media. Additionally, when used with graphics, these tables
may force users to scroll horizontally to view a table designed on a
system with a larger display. To minimize these problems, authors
should use style sheets to control layout rather than tables.
From (HTML 5)
Tables should not be used as layout aids. Historically, many Web
authors have tables in HTML as a way to control their page layout
making it difficult to extract tabular data from such documents. In
particular, users of accessibility tools, like screen readers, are
likely to find it very difficult to navigate pages with tables used
for layout. If a table is to be used for layout it must be marked with
the attribute role="presentation" for a user agent to properly
represent the table to an assistive technology and to properly convey
the intent of the author to tools that wish to extract tabular data
from the document.
There are a variety of alternatives to using HTML tables for layout,
primarily using CSS positioning and the CSS table model. [CSS]
