42023 ÷ 75 
Our goal is to divide 42023 by 75.

Advancing to step 1:
If we divide 4 by 75, we get 0 and a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Fetch the next digit (2) from the dividend, attach it to 4 and continue: 42 / 75

Moving on to step 2:
75 can be fit into 42 0 times, resulting in a remainder of 42.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 42, we get 42.
Include the next digit (0) from the dividend after 42, then repeat: 420 / 75

Advancing to step 3:
If we divide 420 by 75, we get 5 and a remainder of 45.
The next digit of our result is 5. 
Result so far: 5.0
Subtract 375 from 420 to get 45.
Include the next digit (2) from the dividend after 45, then repeat: 452 / 75

Let's proceed to step 4:
If we divide 452 by 75, we get 6 and a remainder of 2.
The next digit of our result is 6. 
Result so far: 56.0
Subtracting 450 from 452 leaves us with 2.
Bring next digit (3) of the dividend behind the 2 and repeat the process: 23 / 75

Step 5:
23 divided by 75 is 0 with a remainder of 23.
The next digit of our result is 0. 
Result so far: 560.0
Subtract 0 from 23 to get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

On to step 6:
75 can be fit into 230 3 times, resulting in a remainder of 5.
Put 3 as the next digit of the answer. 
Result so far: 560.3
Deduct 225 from 230 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 7:
The number 75 fits into 50 0 times, leaving a remainder of 50.
The number 0 becomes the next digit in our result. 
Result so far: 560.3
If we take 0 away from 50, we end up with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Step 8:
75 can be fit into 500 6 times, resulting in a remainder of 50.
The next digit of our result is 6. 
Result so far: 560.306
Subtracting 450 from 500 leaves us with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Going ahead to step 9:
If we divide 500 by 75, we get 6 and a remainder of 50.
Use 6 as the next digit of our solution. 
Result so far: 560.3066
If we take 450 away from 500, we end up with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

The final outcome is 560.3066, with a leftover of 0.0005.