We're dividing 542772 by 35 
We're looking to find how many times 35 goes into 542772.

Going ahead to step 1:
35 can be fit into 5 0 times, resulting in a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Grab the next digit (4) from the dividend, add it to 5, then carry on: 54 / 35

Advancing to step 2:
If we divide 54 by 35, we get 1 and a remainder of 19.
The next digit of our result is 1. 
Result so far: 1.0
Deduct 35 from 54 and we're left with 19.
Take the next digit (2) from the dividend and append it to 19, then repeat: 192 / 35

Let's proceed to step 3:
35 can be fit into 192 5 times, resulting in a remainder of 17.
Put 5 as the next digit of the answer. 
Result so far: 15.0
If we subtract 175 from 192, we get 17.
Append the next digit (7) from the dividend to 17 and continue with: 177 / 35

Going ahead to step 4:
35 can be fit into 177 5 times, resulting in a remainder of 2.
The number 5 becomes the next digit in our result. 
Result so far: 155.0
Deduct 175 from 177 and we're left with 2.
Grab the next digit (7) from the dividend, add it to 2, then carry on: 27 / 35

Step 5:
The number 35 fits into 27 0 times, leaving a remainder of 27.
Use 0 as the next digit of our solution. 
Result so far: 1550.0
If we take 0 away from 27, we end up with 27.
Fetch the next digit (2) from the dividend, attach it to 27 and continue: 272 / 35

On to step 6:
When dividing 272 by 35, we get 7 with a remainder of 27.
Use 7 as the next digit of our solution. 
Result so far: 15507.0
The remainder is 27 after subtracting 245 from 272.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Advancing to step 7:
35 can be fit into 270 7 times, resulting in a remainder of 25.
The next digit of our result is 7. 
Result so far: 15507.7
Subtracting 245 from 270 leaves us with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Going ahead to step 8:
35 goes into 250 7 times with a remainder of 5.
Record the quotient 7 as the next digit in the result. 
Result so far: 15507.77
If we take 245 away from 250, we end up 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.

In conclusion, the division gives 15507.77 with a balance of 0.005.