OP posted image.
A 7-segment LCD will often be just the glass, with connections for segments and a number of backplanes (often up to 4).
For 12 connections it have segments A to G and DP with 4 Common line.
Driving LCDs can be awkward since they don't use just two levels, so you can't drive them with common digital logic.
The best thing you can do is select a microcontroller with integrated LCD controller, which you can connect the display directly to, like the TI MSP430x4xx. Like most controllers this one also knows just segments; it isn't aware of digits or anything. (Great, first we had a dumb display, now we have a dumb driver as well!) There's reason for this. These LCD drivers are often used to drive custom LCDs which may be a mix of a numeric part, bar graphs and custom symbols. Such a symbol is also a single segment, so it makes no sense to talk about digits.
Further reading
MSP430x4xx Family User's Guide. LCD controller is covered on p.709 ff.
Using the MSP430 as display driver may be a good idea: your Arduino can stick to its main task, and the program for the MSP430 can be kept simple (if you don't have much experience with it) or advanced (if you want to make it an intelligent driver, which you can supply with commands like "increment").