Divide integer num much equally with bash

equalized_partition_nums.sh

#!/bin/bash
ceiling () {
  local divide="$1";shift
  local by="$1"
  printf "%s\\n" $(( ( divide + by - 1 ) / by ))
}

equalized_partition_nums () {
  local number="$1";shift
  local count="$1"
  local upper lower upper_count lower_count
  upper="$(ceiling "$number" "$count")"
  lower=$(( upper - 1 ))
  lower_count=$(( upper * count - number ))
  upper_count=$(( count - lower_count ))
  # echo "upper_count=$upper_count upper=$upper lower_count=$lower_count lower=$lower "
  eval "printf '${upper} %.0s' {1..$upper_count}"
  (( lower_count > 0 )) && eval "printf '${lower} %.0s' {1..$lower_count}"
}

equalized_partition_nums 100 10 | awk 4
equalized_partition_nums 100 6 | awk 4
equalized_partition_nums 9 4 | awk 4

IFS=" " read -r -a arr <<< "$(equalized_partition_nums 9 4)"
seq 0 "${#arr[@]}" | while read -r i ;do
  printf '%s=%s\n' "$i" "${arr[i]}"
don