We're dividing 172908 by 35 
We're looking to find how many times 35 goes into 172908.

Let's proceed to step 1:
35 goes into 1 0 times with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Include the next digit (7) from the dividend after 1, then repeat: 17 / 35

Going ahead to step 2:
The number 35 fits into 17 0 times, leaving a remainder of 17.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 17 to get 17.
Bring next digit (2) of the dividend behind the 17 and repeat the process: 172 / 35

Advancing to step 3:
35 can be fit into 172 4 times, resulting in a remainder of 32.
Use 4 as the next digit of our solution. 
Result so far: 4.0
Deduct 140 from 172 and we're left with 32.
Take the next digit (9) from the dividend and append it to 32, then repeat: 329 / 35

Step 4:
329 divided by 35 is 9 with a remainder of 14.
Use 9 as the next digit of our solution. 
Result so far: 49.0
If we take 315 away from 329, we end up with 14.
Append the next digit (0) from the dividend to 14 and continue with: 140 / 35

Step 5:
35 can be fit into 140 4 times, resulting in a remainder of 0.
The number 4 becomes the next digit in our result. 
Result so far: 494.0
If we subtract 140 from 140, we get 0.
Append the next digit (8) from the dividend to 0 and continue with: 8 / 35

On to step 6:
If we divide 8 by 35, we get 0 and a remainder of 8.
The next digit of our result is 0. 
Result so far: 4940.0
If we take 0 away from 8, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 7:
If we divide 80 by 35, we get 2 and a remainder of 10.
Put 2 as the next digit of the answer. 
Result so far: 4940.2
If we take 70 away from 80, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 8:
If we divide 100 by 35, we get 2 and a remainder of 30.
Put 2 as the next digit of the answer. 
Result so far: 4940.22
If we subtract 70 from 100, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

After the division, we end up with 4940.22 and a remainder of 0.03.