Looking on the internet deeply has found these results:

for next step is the most popular phrase on the web.

for next stage 1478,000 results on the web	for next step 13,790,000 results on the web More popular!
Some examples and use cases from the internet:	Some examples and use cases from the internet:
Madam President, I would like to acknowledge the fine work that Mr Cunha did and say how useful it is for the next stages. Once the text had been agreed, they incorporated it for the next stage. The bidders qualify for a next stage only if there is a sufficient closing probability. I think it's attacking the iron in our cells, and this body is ground zero for the next stage. We don't want them revealed until we're ready for the next stage. So it left Marie's body when she died, looking for another host for its next stage of development. That includes the immediate establishment of mandatory limit values for the next stage from 2006 on the basis of a realistic test procedure. Time for the next stage of my life.	It doesn't look like this phrase is very popular! The search could not find any examples on the internet.

for next stage

1478,000 results on the web

for next step

13,790,000 results on the web

More popular!

Madam President, I would like to acknowledge the fine work that Mr Cunha did and say how useful it is for the next stages.
Once the text had been agreed, they incorporated it for the next stage.
The bidders qualify for a next stage only if there is a sufficient closing probability.
I think it's attacking the iron in our cells, and this body is ground zero for the next stage.
We don't want them revealed until we're ready for the next stage.
So it left Marie's body when she died, looking for another host for its next stage of development.
That includes the immediate establishment of mandatory limit values for the next stage from 2006 on the basis of a realistic test procedure.
Time for the next stage of my life.

It doesn't look like this phrase is very popular! The search could not find any examples on the internet.