How does the chromosome number of the parent cell compare to that of the 2 daughter cells?

A parent cell, through mitosis, will create daughter cells with the same number of chromosomes as it has (diploid).
Through meiosis (making of gametes) the parent cell will create cells that are haploid, so have half the number of chromosomes of the parent. These cells will have only one of the chromosomes from each pair.

In Mitosis the cell replicates it self identically so if
original cell 2n=6
daughter cell  2n=6

as they are identical, check out a good explanation here.

http://medical-dictionary.thefreedictionary.com/_/viewer.aspx?path=dorland&name=mitosis.jpg

More info:
Summary of chromosome characteristics

    * Diploid set for humans; 2n = 46
    * Autosomes; homologous chromosomes, one from each parent (humans = 22 sets of 2)
    * Sex chromosomes (humans have 1 set of 2)
         1. Female-sex chromosomes are homologous (XX)
         2. Male-sex chromosomes are non-homologous (XY)

    * Haploid (n)-- one set chromosomes
    * Diploid (2n)-- two sets chromosomes
    * Most plant and animal adults are diploid (2n)
    * Eggs and sperm are haploid (n)