。
She has moved six times since she came here.
Literal
She [topic-は] this-place [to-に] came [ever since-て以来] six-times moving [object-を] did.
~て以来 ('ever since doing') marks a starting point from which subsequent events are counted. 当地 ('this place / here') is a formal, written word for 'here' — more common in correspondence or reports than in speech. ６回引っ越しをした uses the counter 回 for number of times, with 引っ越し (moving house) as the noun.