Alright, let's solve this problem step by step. We have 584343 and 14342, and we're subtracting the second number from the first.

Step 1: We'll start by subtracting the digit 2 and the borrow 0 from 3 in column 1 and get 1.
1 is the first digit of our result.

Step 2: We'll start by subtracting the digit 4 and the borrow 0 from 4 in column 2 and get 0.
0 is the next digit of our result.

Step 3: We'll start by subtracting the digit 3 and the borrow 0 from 3 in column 3 and get 0.
0 is the next digit of our result.

Step 4: We'll start by subtracting the digit 4 and the borrow 0 from 4 in column 4 and get 0.
0 is the next digit of our result.

Step 5: We'll start by subtracting the digit 1 and the borrow 0 from 8 in column 5 and get 7.
7 is the next digit of our result.

Step 6: We'll start by subtracting the digit 0 and the borrow 0 from 5 in column 6 and get 5.
5 is the next digit of our result.

So, 584343 - 14342 = 570001.