区别：
to do ,可以注重具体的,将来的:
doing,可表示业已发生的,进行的,习惯的,有某中特点,规律的.
the best way to do the best way of doing 做的最好的方法，二者意思一样。
例句：
Could you give me some advice on the best way to do this?
您能就怎样以最好的方式处理这件事给我提点儿建议吗？
I think the best way to do this is for me to show you some examples.
我认为最好的方式，这对我告诉你一些例子。
Are you sure this is the best way of doing it?
你肯定这是做这事的最好方法吗？
To resolve these problems the company has to grow and support a kind ofcompany culture which is advantageous to free exchanges, let people share thebest way of doing.
