We're dividing 17206 by 38 
We're looking to find how many times 38 goes into 17206.

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.
Bring next digit (7) of the dividend behind the 1 and repeat the process: 17 / 38

Moving on to step 2:
When dividing 17 by 38, we get 0 with a remainder of 17.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 17 leaves us with 17.
Include the next digit (2) from the dividend after 17, then repeat: 172 / 38

Let's proceed to step 3:
When dividing 172 by 38, we get 4 with a remainder of 20.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
The remainder is 20 after subtracting 152 from 172.
Take the next digit (0) from the dividend and append it to 20, then repeat: 200 / 38

On to step 4:
If we divide 200 by 38, we get 5 and a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 45.0
Subtracting 190 from 200 leaves us with 10.
Take the next digit (6) from the dividend and append it to 10, then repeat: 106 / 38

On to step 5:
The number 38 fits into 106 2 times, leaving a remainder of 30.
Write down 2 as next digit of the result. 
Result so far: 452.0
The remainder is 30 after subtracting 76 from 106.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 6:
38 goes into 300 7 times with a remainder of 34.
The number 7 becomes the next digit in our result. 
Result so far: 452.7
The remainder is 34 after subtracting 266 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Advancing to step 7:
38 can be fit into 340 8 times, resulting in a remainder of 36.
Record the quotient 8 as the next digit in the result. 
Result so far: 452.78
Subtract 304 from 340 to get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Let's proceed to step 8:
If we divide 360 by 38, we get 9 and a remainder of 18.
The next digit of our result is 9. 
Result so far: 452.789
If we subtract 342 from 360, we get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Let's proceed to step 9:
38 can be fit into 180 4 times, resulting in a remainder of 28.
Record the quotient 4 as the next digit in the result. 
Result so far: 452.7894
Subtracting 152 from 180 leaves us with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Let's proceed to step 10:
38 goes into 280 7 times with a remainder of 14.
Put 7 as the next digit of the answer. 
Result so far: 452.78947
Subtract 266 from 280 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Moving on to step 11:
If we divide 140 by 38, we get 3 and a remainder of 26.
Use 3 as the next digit of our solution. 
Result so far: 452.789473
The remainder is 26 after subtracting 114 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

On to step 12:
260 divided by 38 is 6 with a remainder of 32.
Write down 6 as next digit of the result. 
Result so far: 452.7894736
Deduct 228 from 260 and we're left 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.

Moving on to step 13:
38 goes into 320 8 times with a remainder of 16.
Record the quotient 8 as the next digit in the result. 
Result so far: 452.78947368
Subtract 304 from 320 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Our division results in 452.78947368 with a remaining 1.6e-08.