Sorting a string of numbers into a grid

I'm needing to sort a long list of ID numbers into 'grids' of 8 ID numbers down (8 cells/rows), 6 ID numbers across (or 6 columns long etc), sorted from smallest to largest ID number. When one 'grid' is 'full', the numbers which cannot fit in the first grid should go on to form a second one and so on. The last 4 cells of the last row should be blank. (This is a template for a lab procedure).

ie this is the data I have: column of ID numbers

and this how I want it to be (but like, 6 of these) example 'grid'

Here's one method.

Sample data

import pandas as pd
import numpy as np

# Sorted list of string IDs
l = np.arange(0, 631, 1).astype('str')

Code

N = 44
# Ensure we can reshape last group
data = np.concatenate((l, np.repeat('', N-len(l)%N))) 

# Split array, make a separate `DataFrame` for each grid.
data = [
    pd.DataFrame(np.concatenate((x, np.repeat('', 4))).reshape(8,6)) 
    for x in np.array_split(data, np.arange(N, len(l), N))
    ]

df = pd.concat(data, ignore_index=True)  # If want a single df in the end

Output df:

       0    1    2    3    4    5
0      0    1    2    3    4    5
1      6    7    8    9   10   11
2     12   13   14   15   16   17
3     18   19   20   21   22   23
4     24   25   26   27   28   29
5     30   31   32   33   34   35
6     36   37   38   39   40   41
7     42   43                    
8     44   45   46   47   48   49
9     50   51   52   53   54   55
10    56   57   58   59   60   61
11    62   63   64   65   66   67
12    68   69   70   71   72   73
13    74   75   76   77   78   79
14    80   81   82   83   84   85
15    86   87                    
16    88   89   90   91   92   93
...
110  608  609  610  611  612  613
111  614  615                    
112  616  617  618  619  620  621
113  622  623  624  625  626  627
114  628  629  630               
115                              
116                              
117                              
118                              
119