We divide 4578 by 42
We want to divide 4578 by 42.

Step 1:
42 goes into 4 0 times with a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Include the next digit (5) from the dividend after 4, then repeat: 45 / 42

Going ahead to step 2:
If we divide 45 by 42, we get 1 and a remainder of 3.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
The remainder is 3 after subtracting 42 from 45.
Append the next digit (7) from the dividend to 3 and continue with: 37 / 42

On to step 3:
42 can be fit into 37 0 times, resulting in a remainder of 37.
Write down 0 as next digit of the result. 
Result so far: 10.0
If we subtract 0 from 37, we get 37.
Bring next digit (8) of the dividend behind the 37 and repeat the process: 378 / 42

Advancing to step 4:
The number 42 fits into 378 9 times, leaving a remainder of 0.
Use 9 as the next digit of our solution. 
Result so far: 109.0
The remainder is 0 after subtracting 378 from 378.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 5:
0 divided by 42 is 0 with a remainder of 0.
The next digit of our result is 0. 
Result so far: 109.0
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 6:
If we divide 0 by 42, we get 0 and a remainder of 0.
The next digit of our result is 0. 
Result so far: 109.0
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

After the division, we end up with 109.0 and a remainder of 0.0.