What dose then by dint of hard pulling we accomplished the whole distance mean

"By dint of hard pulling, we accomplished the whole distance" means that as a result of hard pulling, the whole distance was achieved.

Explanation:

The word "Dint" is derived from an Old English which is rarely used in modern times now. By dint of means "as a result of or by means of" which the result has been achieved. When we say "by dint of something", it means that whatever is achieved has been a result of or the hard work and persistence of the person. It usually involves sheer force on the part of the achiever. So, the above sentence means that the whole distance was accomplished or covered as a result of the hard pulling by them.

there purpose is to entertain

following gollum to the back entrance