We're dividing 208272 by 38 
We want to figure out the number of times 208272 can be divided by 38.

Let's proceed to step 1:
38 goes into 2 0 times with a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Take the next digit (0) from the dividend and append it to 2, then repeat: 20 / 38

Step 2:
When dividing 20 by 38, we get 0 with a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 20 leaves us with 20.
Bring next digit (8) of the dividend behind the 20 and repeat the process: 208 / 38

Moving on to step 3:
38 goes into 208 5 times with a remainder of 18.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
Subtracting 190 from 208 leaves us with 18.
Include the next digit (2) from the dividend after 18, then repeat: 182 / 38

Advancing to step 4:
When dividing 182 by 38, we get 4 with a remainder of 30.
The number 4 becomes the next digit in our result. 
Result so far: 54.0
If we take 152 away from 182, we end up with 30.
Take the next digit (7) from the dividend and append it to 30, then repeat: 307 / 38

Let's proceed to step 5:
307 divided by 38 is 8 with a remainder of 3.
The next digit of our result is 8. 
Result so far: 548.0
If we take 304 away from 307, we end up with 3.
Grab the next digit (2) from the dividend, add it to 3, then carry on: 32 / 38

Moving on to step 6:
38 goes into 32 0 times with a remainder of 32.
The next digit of our result is 0. 
Result so far: 5480.0
Subtract 0 from 32 to get 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 7:
The number 38 fits into 320 8 times, leaving a remainder of 16.
The next digit of our result is 8. 
Result so far: 5480.8
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.

Let's proceed to step 8:
38 can be fit into 160 4 times, resulting in a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 5480.84
Subtract 152 from 160 to get 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 9:
If we divide 80 by 38, we get 2 and a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 5480.842
Deduct 76 from 80 and we're left with 4.
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 10:
38 goes into 40 1 times with a remainder of 2.
Record the quotient 1 as the next digit in the result. 
Result so far: 5480.8421
Subtract 38 from 40 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 11:
38 can be fit into 20 0 times, resulting in a remainder of 20.
The next digit of our result is 0. 
Result so far: 5480.8421
If we subtract 0 from 20, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 12:
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: 5480.842105
Subtract 190 from 200 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 13:
If we divide 100 by 38, we get 2 and a remainder of 24.
Record the quotient 2 as the next digit in the result. 
Result so far: 5480.8421052
Subtracting 76 from 100 leaves us with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Step 14:
When dividing 240 by 38, we get 6 with a remainder of 12.
The number 6 becomes the next digit in our result. 
Result so far: 5480.84210526
Deduct 228 from 240 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Our division results in 5480.84210526 with a remaining 1.2e-08.