Yes, but check with your local authority to see if they collect it, otherwise it can be put into a paper bank.
Before you recycle it :
Tie it up in a bag before you put it outside to be collected. It could blow away!
Make sure there is no plastic mixed in with it
Not all local authorities will accept shredded paper for recycling as some paper mills cannot process it. Reasons for this:
Shredding paper weakens it (the fibre length decreases)
It could pose problems at the mill e.g. maintenance and fire hazard issues
Try to reduce the amount of shredded paper you produce by only shredding necessary documents with containing personal information.
How are car batteries recycled?
Car batteries are known as wet cell batteries. The battery recycling process incurs dissecting the battery into its various components of lead or silver, acid, the outer covering plastic and also the distilled water. A crusher takes care of the breakdown then the most valuable parts, the lead or silver are extracted. The lead is melted, acid neutralised and water the water is purified.