How do you skip the iteration when the Apex loop breaks and then continue?

First of all, continue, and Apex break main activity is in the innermost loop, which is making the calculation more complicated. Also, observe if you can create the item before changing the tempUserAssignment object. You can also check out a different chunk of code if you want a more balanced distribution system. The code looks the following way:

Map mapByManualAmount = new map ();
for(AgentAssignment assignm: assignmentList) {
    tempUserAssignment tua = new tempUserAssignment();
    tua.totalPolicy = 0.0;
    tua.totalAPE = 0.0;
    mapByManualAmount.put(assignmentList.agentId, tua);
}
for(Call_Line__c dis : callLineList){
    for(AgentAssignment assignm : assignmentList) {
        tempUserAssignment tua = mapByManualAmount.get(assignm.agentId);
        if(tua.totalApe + dis.APE_Total_Child__c <= assignm.apeDistributed) {
            tua.totalPolicy += 1.0;
            tua.totalAPE += dis.APE_Total_Child__c;
            tosaveCallLineList.add(new Call_Line__c(Id=dis.Id, Agent__c=assignm.agentId, OwnerId=assignm.agentId));
            break;
        }
    }
}