from an array of judges and applications, assign applications to the judges so that all each judge has the same number of applications assigned.

function assignApplication(judges, applications) {
  $judgeApplication = array();
  $judgeNum = count($judges);
  $applicationNum = count($applications);
  $avg = $applicationNum / $judgeNum;
  $remainder = $applicationNum % $judgeNum;
  $avg = $avg + 1;
  $applicationNum = $applicationNum - $remainder;
  // $applicationNum - $remainder = $avg * $judgeNum
  // $remainder = $judgeNum * ($avg - 1)
  $avg = $avg - 1;
  for ($i = 0; $i < $judgeNum; $i++) {
    $judgeApplication[$i] = array();
    for ($j = $i * $avg; $j < $i * $avg + $avg; $j++) {
      if ($j < $applicationNum) {
        $judgeApplication[$i][] = $applications[$j];