This is the 1521st most frequent Turkish word.
girerek
"Entering" or "by entering."
The word 'girerek' here is used as a gerund, indicating the action of entering (the house) prior to the main action of placing the key.
Eve girerek anahtarımı masanın üzerine bıraktım.
Entering the house, I placed my key on the table.
Here, 'girerek' specifies the act of entering various spaces as part of the process of examining them carefully.
Odalar arasında dolaşıp farklı mekanlara girerek her birini dikkatle inceledi.
By wandering between rooms and entering different spaces, he examined each one carefully.
In this sentence, 'girerek' illustrates starting the process of undertaking a new project, connecting it as a reason or cause to the main outcome of gaining the opportunity.