well its relatively simple to understand
cloning involves taking the nucleus of the desired organism to be cloned, and implanting it into the egg cell of the surrogate.
so the egg cell from the surrogate animal is obtained, and a microscopic vacuum is used to 'suck out' the nucleus, leaving only a membrane and cytoplasm. this is done to ensure that there will be a high probability that the cell will be reaccepted by the 'mother', as it is not foreign.
the desired organism has its nucleus carefully removed, and remaining cell is discarded. in brief the 'mother's' cell is deprived of nutrients to make it more susceptible to accepting foreign material.
the nucleus and mother egg cell are held together and a small electric current is applied, allowing for the nucleus to be accepted. this is nuclear transfer.
i guess all thats left in cloning is for the complete cell to be allowed to grow for several mitotic divisions in a laboratory before implantation into the original 'mother' organism