Is there a CEIL version of MySQL's DIV operator?

With MySQL

a DIV b

is much faster than

FLOOR(a / b).

But I need to round up so I'm using,

CEIL(a / b)

It seems strange that there wouldn't be a ceiling version of DIV, but I can't find it. Is there anything undocumented hidden away somewhere? Or any other non floating point way to do this?

From stackoverflow

• For a > 0 you can write

  (a - 1) div b + 1
  

  finnw : Be careful - what happens if a is 0?

  Gleb : Thanks, actually (a + b - 1) DIV b would be better I guess.

• Alternative:

  (a + b - 1) DIV b