This is the 4500th most frequent Turkish word.
ayrılarak
"By separating" or "having separated."
In this sentence, 'ayrılarak' is used as a gerund form of 'ayrılmak' (to separate) to indicate the manner in which the action is performed: she separates herself to proceed.
Arkadaşlarına sarılarak ayrılarak evine doğru yürüdü.
She hugged her friends and, separating herself, walked towards her home.
Here, 'ayrılarak' describes a process where the body separates or weakens in some capacity, modifying how standing is perceived in context.
Ayakta durmak zayıf bir bedeni ayrılarak zorlaşır.
Standing becomes difficult as a weak body separates.
In this usage, 'ayrılarak' indicates the car's action of separating itself from others to perform its subsequent movement.