How to use BigDecimals without using doubles

I'm trying to make this program where you got some different items you can buy.

im storing my prices in a sqlite database (have not decided on datatype other than its going to be string or integer).

i have read for 2 hours now trying to get a hang on this, i understand why i cant use doubles or float values.

but i cant decide: should i store my prices as integers? or Strings.

the problem i see here is that i have ALWAYS been told not to store integers as strings.. and now people tell me it smarts because this is the only way i can keep the accuracy of my prices ?

if i store them as integers i will have a problem of:

int 5 / 100 //i want that to be 0.05
int 50 / 100 //i want that to be 0.50
int 500 / 100 //i want that to be 5.00

how do i do this without using doubles ??

or maybe there is a way to do it with BigDecimals?

BigDecimal bddd1 = bdd1.setScale(2,RoundingMode.HALF_EVEN); // gives me 5.00 instead of 0.05

so how will i do this correctly, always getting 2 decimals.