Difference between MOD and REMAINDER function

In continuation of basics yet important topics of Oracle Database, with this post, I am trying to explain the difference between two similar looking function MOD and REMAINDER. MOD and REMAINDER both are used to calculate the remainder of a numeric value getting divided by another value. Both functions require two parameters: the value to be divided and the divisor. The main difference between these is that the MOD function uses the FLOOR function in its computation logic, and the REMAINDER function uses ROUND. For this reason, the values returned from the two functions can differ.

ngarg> select 25 value, level divisor, 
  2  MOD(25, level) MODULUS, REMAINDER(25, level) REMAINDER from dual
  3  connect by level <= 25;

     VALUE    DIVISOR    MODULUS  REMAINDER
---------- ---------- ---------- ----------
        25          1          0          0
        25          2          1          1
        25          3          1          1
        25          4          1          1
        25          5          0          0
        25          6          1          1
        25          7          4         -3
        25          8          1          1
        25          9          7         -2
        25         10          5          5
        25         11          3          3
        25         12          1          1
        25         13         12         -1
        25         14         11         -3
        25         15         10         -5
        25         16          9         -7
        25         17          8          8
        25         18          7          7
        25         19          6          6
        25         20          5          5
        25         21          4          4
        25         22          3          3
        25         23          2          2
        25         24          1          1
        25         25          0          0

25 rows selected.

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