HARRISBURG — The Pennsylvania Legislature’s deep divide over tax increases dashed hopes in the Capitol on Friday for a quick end to state budget negotiations, and leaders sent rank-and-file lawmakers home while they worked to find a solution with Democratic Gov. Tom Wolf. The prospect of a new impasse arose barely two months after the end of a record-breaking stalemate in the first budget go-around between Wolf and the Republican-controlled Legislature. The House and Senate finalized a $31.5 billion spending plan Thursday and sent most of it to Wolf’s desk.