Personally, I find it important to also remember that my son doesn't want my undivided attention 100% of the time. When we are at home, it's not uncommon for him to occupy himself with his trains or cars. During these moments, I don't hesitate to flip through a magazine myself, work on a blogpost, check email, etc.
And when we are at a play date, he interacts with the other toddlers and I interact with the other parents. Of course, there are moments during these outings that he alone gets my undivided attention - but most of the time I am splitting my attention between him, other parents, my phone and the other kids running around.
I've found that it is during these moments, when I am only giving my son partial attention, that I notice great growth. One night, after my husband finished reading our son a story (with undivided attention), we started talking about our summer plans. Our son decided that he was not done reading, grabbed another book, sat in my husband's lap and said his first clear sentence "I read book."
Similarly, a few weeks ago my friend and I were taking our last stroller walk over to Moniques. During our walk, we chatted and were surprised when the kids started to do the same. My son told his friend about the truck, police car and motorcycle across the street.
Do you find that your kids ever benefit from your divided attention?