I find it interesting that all life on earth use DNA. I've seen video on how helicase and ribosomes work together to copy DNA sequences (to RNA) with helicase then recreate them using ribosomes. Does this process work the same way in the simplest life forms? Bacteria and other unicellular life that reproduce through mitosis, for example?
I've had a direct look at Carsonella rudii, which is I believe is the bacterial genome with the smallest number of genes so far - 184 as well as being only 160 kb in length. It has a putative DNA helicase encoded in it. 37 of those genes encode for ribosomal components as well.
If there was ever a bacterium or any living cell (non virus that is) discovered without a ribosome, you would have heard about it. nobel prizes all around.
So I would say that your answer is yes.
First, mitosis is a eukaryotic process where not only genome replication and cell division is involved but quite a few more processes, not the least because there is a nucleus in eukaryotes. Bacteria simply divide after replication. And yes, even the simplest bacteria (and even some symbionts) use ribosomes for protein production. Example:
The smallest bacteria are from species Mycoplasma. The Mycoplasma species with the smallest annotated proteome on UniProt is Mycoplasma genitalium (strain ATCC 33530 / G-37 / NCTC 10195, with 484 genes. I have attached links to the set, as well as to its helicase. (For the 16S gene you would look that up in a gene not protein database)