The largest 4 digit number exactly divisible by 88 is:

Explanation:-

$$\eqalign{ & {\text{Largest}}\,{\text{4 - digit}}\,{\text{number}} = 9999 \cr & 88)\,\,\,\,9999\,\,\,\,(113 \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,88 \cr & \,\,\,\,\,\,\,\,\,\,\, - - - - \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,119 \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,88 \cr & \,\,\,\,\,\,\,\,\,\,\, - - - - \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,319 \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,264 \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\, - - - \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,55 \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\, - - - \cr & \operatorname{Re} quired\,number \cr & = \left( {9999 - 55} \right) \cr & = 9944. \cr}$$