Let's divide 28617 by 38
Our goal is to divide 28617 by 38.

On 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
If we subtract 0 from 2, we get 2.
Take the next digit (8) from the dividend and append it to 2, then repeat: 28 / 38

Advancing to step 2:
When dividing 28 by 38, we get 0 with a remainder of 28.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 28 after subtracting 0 from 28.
Include the next digit (6) from the dividend after 28, then repeat: 286 / 38

Let's proceed to step 3:
When dividing 286 by 38, we get 7 with a remainder of 20.
Use 7 as the next digit of our solution. 
Result so far: 7.0
The remainder is 20 after subtracting 266 from 286.
Take the next digit (1) from the dividend and append it to 20, then repeat: 201 / 38

Moving on to step 4:
38 goes into 201 5 times with a remainder of 11.
Put 5 as the next digit of the answer. 
Result so far: 75.0
The remainder is 11 after subtracting 190 from 201.
Fetch the next digit (7) from the dividend, attach it to 11 and continue: 117 / 38

Let's proceed to step 5:
38 can be fit into 117 3 times, resulting in a remainder of 3.
The number 3 becomes the next digit in our result. 
Result so far: 753.0
The remainder is 3 after subtracting 114 from 117.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 6:
If we divide 30 by 38, we get 0 and a remainder of 30.
Record the quotient 0 as the next digit in the result. 
Result so far: 753.0
The remainder is 30 after subtracting 0 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 7:
If we divide 300 by 38, we get 7 and a remainder of 34.
Write down 7 as next digit of the result. 
Result so far: 753.07
If we take 266 away from 300, we end up with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

On to step 8:
340 divided by 38 is 8 with a remainder of 36.
Use 8 as the next digit of our solution. 
Result so far: 753.078
The remainder is 36 after subtracting 304 from 340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Step 9:
If we divide 360 by 38, we get 9 and a remainder of 18.
Record the quotient 9 as the next digit in the result. 
Result so far: 753.0789
If we take 342 away from 360, 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.

Going ahead to step 10:
When dividing 180 by 38, we get 4 with a remainder of 28.
Record the quotient 4 as the next digit in the result. 
Result so far: 753.07894
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.

Advancing to step 11:
The number 38 fits into 280 7 times, leaving a remainder of 14.
Use 7 as the next digit of our solution. 
Result so far: 753.078947
Deduct 266 from 280 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Let's proceed to step 12:
38 goes into 140 3 times with a remainder of 26.
Put 3 as the next digit of the answer. 
Result so far: 753.0789473
If we subtract 114 from 140, we get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Advancing to step 13:
If we divide 260 by 38, we get 6 and a remainder of 32.
Record the quotient 6 as the next digit in the result. 
Result so far: 753.07894736
If we take 228 away from 260, we end up 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.

The final result is 753.07894736 with a remainder of 3.2e-08.