Borrowing works like this, for base 3, when you borrow 1 from a number, 3 is added to the number that's borrowing. Similar to base 10, when you borrow 1 from a number, 10 is added to the borrowing number.

As for division in base 16, the ideas are the same as in base 10 "long division". If you check with a hex calculator, the answer is 11C.