We're dividing 173145 by 38 
We're looking to find how many times 38 goes into 173145.

Going ahead to step 1:
1 divided by 38 is 0 with a remainder of 1.
Write down 0 as next digit of the 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 / 38

Going ahead to step 2:
If we divide 17 by 38, we get 0 and a remainder of 17.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 17, we get 17.
Take the next digit (3) from the dividend and append it to 17, then repeat: 173 / 38

Moving on to step 3:
38 can be fit into 173 4 times, resulting in a remainder of 21.
Put 4 as the next digit of the answer. 
Result so far: 4.0
Subtract 152 from 173 to get 21.
Fetch the next digit (1) from the dividend, attach it to 21 and continue: 211 / 38

Going ahead to step 4:
38 goes into 211 5 times with a remainder of 21.
Write down 5 as next digit of the result. 
Result so far: 45.0
Deduct 190 from 211 and we're left with 21.
Fetch the next digit (4) from the dividend, attach it to 21 and continue: 214 / 38

Advancing to step 5:
If we divide 214 by 38, we get 5 and a remainder of 24.
Use 5 as the next digit of our solution. 
Result so far: 455.0
Subtract 190 from 214 to get 24.
Bring next digit (5) of the dividend behind the 24 and repeat the process: 245 / 38

Let's proceed to step 6:
38 can be fit into 245 6 times, resulting in a remainder of 17.
Write down 6 as next digit of the result. 
Result so far: 4556.0
Deduct 228 from 245 and we're left with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Moving on to step 7:
38 goes into 170 4 times with a remainder of 18.
The next digit of our result is 4. 
Result so far: 4556.4
If we take 152 away from 170, we end up with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Advancing to step 8:
If we divide 180 by 38, we get 4 and a remainder of 28.
Put 4 as the next digit of the answer. 
Result so far: 4556.44
The remainder is 28 after subtracting 152 from 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

In conclusion, the division gives 4556.44 with a balance of 0.028.