172895 ÷ 38 
We want to figure out the number of times 172895 can be divided by 38.

Going ahead to step 1:
When dividing 1 by 38, we get 0 with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Fetch the next digit (7) from the dividend, attach it to 1 and continue: 17 / 38

Moving on to step 2:
17 divided by 38 is 0 with a remainder of 17.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 17, we end up with 17.
Take the next digit (2) from the dividend and append it to 17, then repeat: 172 / 38

On to step 3:
If we divide 172 by 38, we get 4 and a remainder of 20.
The next digit of our result is 4. 
Result so far: 4.0
The remainder is 20 after subtracting 152 from 172.
Grab the next digit (8) from the dividend, add it to 20, then carry on: 208 / 38

Step 4:
208 divided by 38 is 5 with a remainder of 18.
The number 5 becomes the next digit in our result. 
Result so far: 45.0
If we subtract 190 from 208, we get 18.
Append the next digit (9) from the dividend to 18 and continue with: 189 / 38

Step 5:
If we divide 189 by 38, we get 4 and a remainder of 37.
The next digit of our result is 4. 
Result so far: 454.0
Deduct 152 from 189 and we're left with 37.
Include the next digit (5) from the dividend after 37, then repeat: 375 / 38

Let's proceed to step 6:
375 divided by 38 is 9 with a remainder of 33.
Put 9 as the next digit of the answer. 
Result so far: 4549.0
The remainder is 33 after subtracting 342 from 375.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Step 7:
When dividing 330 by 38, we get 8 with a remainder of 26.
The number 8 becomes the next digit in our result. 
Result so far: 4549.8
Subtracting 304 from 330 leaves us with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Moving on to step 8:
38 can be fit into 260 6 times, resulting in a remainder of 32.
Write down 6 as next digit of the result. 
Result so far: 4549.86
Subtracting 228 from 260 leaves us with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Going ahead to step 9:
When dividing 320 by 38, we get 8 with a remainder of 16.
Record the quotient 8 as the next digit in the result. 
Result so far: 4549.868
The remainder is 16 after subtracting 304 from 320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

On to step 10:
160 divided by 38 is 4 with a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 4549.8684
Deduct 152 from 160 and we're left 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.

Going ahead to step 11:
38 can be fit into 80 2 times, resulting in a remainder of 4.
The next digit of our result is 2. 
Result so far: 4549.86842
The remainder is 4 after subtracting 76 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 12:
When dividing 40 by 38, we get 1 with a remainder of 2.
Put 1 as the next digit of the answer. 
Result so far: 4549.868421
Deduct 38 from 40 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 13:
If we divide 20 by 38, we get 0 and a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 4549.868421
The remainder is 20 after subtracting 0 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 14:
If we divide 200 by 38, we get 5 and a remainder of 10.
The next digit of our result is 5. 
Result so far: 4549.86842105
Deduct 190 from 200 and we're left 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.

The final result is 4549.86842105 with a remainder of 1e-08.