Traditional Abacus and Bead Arithmetic/Division/Special division tables

Principle
Suppose we have to perform a large number of divisions by 36525, which could be the case if we do calendar calculations. Then we can simplify the task by creating a specialized division table for this divisor. Following what is stated in the chapter: Guide to traditional division, we will start by calculating the following three Euclidean divisions:

Which can be summarized in the following specialized division table:

And now we can use this table to do divisions without touching the multiplication table. For example, how many Julian centuries of 36525 days can fit in 1 000 000 days?

And we have done a division by a five-digit divisor without using the multiplication table!

Two-digit division tables
In the past, special division tables were used for divisors between 11 and 99.

Some examples
Dividing by numbers that start with 1 is awkward, the following table may be used to divide by 19.

Dividing by 𝝅 is common in applications, here are the tables for two approximations of this irrational number. Finally, the division by 666 table. However, It is not advisable to divide by this number; results can be unpredictable… and uncontrollable! In any case, remember the advice:

I say to you againe, doe not call up Any that you can not put downe; by the Which I meane, Any that can in Turne call up somewhat against you, whereby your Powerfullest Devices may not be of use.

H. P. Lovecraft - The Case of Charles Dexter Ward (1941) : )👿