Those brokerage fees are a little high
There is taking the cash you receive for your dividends and using that cash to buy further shares in the same company through on market purchases - this is what you are describing.
There is also being paid your dividend in new shares in the company - this is generally known as a dividend reinvestment plan.
Anyway on the assumption that you knew that difference I would answer your question by saying No - not usually.
The cost of your 1020 shares is $10320 ($10100 + $220).
Best Wishes
Paper Tiger
Confidently answers despite lack of practical experience
I have to admit that despite my many years of share ownership I have never yet taken part in a DRIP, but as luck would have it, I have recently signed up for the DRIP in Heartland.
But come the time, Yes, I will record, as the price paid for these new shares, the specified strike price.1 2
Come the 5th April - I will be better informed.
Best Wishes
Paper Tiger
1 Though I do wonder about how to deal with the discrepancy where your dividend entitles you to say 99.467 shares and you only get 99.
2 Sorry - A little heavy on the commas there.