Business Paradigms, Inc.

A Fast Way to Sort Cheques

By: R. Scott White

Most people perform this tedious task by dividing their cheques into series of ten - cheques 120 to 129, 130 to 139, and so forth. Then they fan out each series of ten and start pulling out each cheque in order - 129, then 128, then 127, etc.

If you have a bank statement containing 500 cheques, this process can take an eternity. Here's a faster way.

1. Separate the cheques into groups of one hundred- 100 to 199, 200 to 299, 300 to 399, etc.

Lay them out on the desk in stacks:

100 to 199
200 to 299
300 to 399

2. Start with the highest numbered series. In our example it would be the 300 to 399 series.

3. Sort this group into ten stacks based only on the last digit of the cheque number as follows:

      0     1     2     3     4     5     6     7     8     9 
     320   341   392   393   364   335   316   337   358   379
     390   321   332   343   354   325   386   347   318   309
     330   361   372   303   394   385   326   377   368   329
     360   301   352   323   374   315   306   367   328   399
     310   371   342   383   324   345   396   307   338   339
     300   331   362   313   344   305   336   357   388   319
     370   391   302   323   314   395   376   317   308   369
     380   311   312   353   334   355   386   327   348   359
     340   351   322   363   384   365   346   397   398   349
     350   381   382   373   304   375   366   387   378   389

You should now have ten stacks of cheques. The first stack contains all the cheques whose last digit is 0 and the last stack contains all the cheques whose last digit is 9.

4. Now pick up the cheques from left to right. Start with the stack ending in 0. On top of that, put the stack ending in 1. Then 2, then 3, etc. When you're finished, all the 9's should be on top of the stack.

5. Next, lay them out again based on the 10's digit (second from the right). The ten stacks will end up like the example below. If you look at at 0's stack, you'll notice that the first cheque you laid down was 309. The last cheque you put on that stack was 300. The cheques are now in order from top to bottom.

      0     1     2     3     4     5     6     7     8     9 
     309   319   329   339   349   359   369   379   389   399
     308   318   328   338   348   358   368   378   388   398
     307   317   327   337   347   357   367   377   387   397
     305   315   325   335   345   355   365   375   385   395
     304   314   324   334   344   354   364   374   384   394
     303   313   323   333   343   353   363   373   383   393
     301   311   321   331   341   351   361   371   381   391
     300   310   320   330   340   350   360   370   380   390

6. Pick up the stacks from right to left, starting with the 9's. On top of that place the 8's and so forth. When you're finished, the entire stack of one hundred cheques will be in ascending order from cheque 300 to 399.

7. Do the same process for each of your series of 100 hundred cheques, and you're done.