4055 ÷ 75 
We're looking to find how many times 75 goes into 4055.

Step 1:
75 can be fit into 4 0 times, resulting in a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Grab the next digit (0) from the dividend, add it to 4, then carry on: 40 / 75

Step 2:
40 divided by 75 is 0 with a remainder of 40.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 40, we end up with 40.
Grab the next digit (5) from the dividend, add it to 40, then carry on: 405 / 75

Step 3:
405 divided by 75 is 5 with a remainder of 30.
Use 5 as the next digit of our solution. 
Result so far: 5.0
Subtracting 375 from 405 leaves us with 30.
Bring next digit (5) of the dividend behind the 30 and repeat the process: 305 / 75

On to step 4:
If we divide 305 by 75, we get 4 and a remainder of 5.
The next digit of our result is 4. 
Result so far: 54.0
Subtracting 300 from 305 leaves us 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.

Let's proceed to step 5:
The number 75 fits into 50 0 times, leaving a remainder of 50.
Record the quotient 0 as the next digit in the result. 
Result so far: 54.0
Subtracting 0 from 50 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.

On to step 6:
If we divide 500 by 75, we get 6 and a remainder of 50.
Record the quotient 6 as the next digit in the result. 
Result so far: 54.06
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.

Advancing to step 7:
The number 75 fits into 500 6 times, leaving a remainder of 50.
Write down 6 as next digit of the result. 
Result so far: 54.066
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.

The final outcome is 54.066, with a leftover of 0.005.