下面两句话中分别含有"with",不知是否可以作介词"随着"？

According to Court statistics, in the first month since the regulations went into effect, there was a 30% jump in the number of cases accepted,(1.13 million), with most of them accepted immediately. The Jiangsu, Zhejiang, and Shandong courts accepted over 80,000 cases, with Beijing, Hebei, and other areas accepting over 40,000.