We look at the division of 28417 by 13 
We're looking to find how many times 13 goes into 28417.

Let's proceed to step 1:
13 can be fit into 2 0 times, resulting in a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 2, we get 2.
Include the next digit (8) from the dividend after 2, then repeat: 28 / 13

Let's proceed to step 2:
When dividing 28 by 13, we get 2 with a remainder of 2.
Use 2 as the next digit of our solution. 
Result so far: 2.0
If we subtract 26 from 28, we get 2.
Include the next digit (4) from the dividend after 2, then repeat: 24 / 13

Step 3:
13 goes into 24 1 times with a remainder of 11.
The next digit of our result is 1. 
Result so far: 21.0
The remainder is 11 after subtracting 13 from 24.
Include the next digit (1) from the dividend after 11, then repeat: 111 / 13

Going ahead to step 4:
The number 13 fits into 111 8 times, leaving a remainder of 7.
Put 8 as the next digit of the answer. 
Result so far: 218.0
The remainder is 7 after subtracting 104 from 111.
Append the next digit (7) from the dividend to 7 and continue with: 77 / 13

Step 5:
If we divide 77 by 13, we get 5 and a remainder of 12.
The number 5 becomes the next digit in our result. 
Result so far: 2185.0
If we take 65 away from 77, we end up 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.

Moving on to step 6:
13 can be fit into 120 9 times, resulting in a remainder of 3.
The next digit of our result is 9. 
Result so far: 2185.9
Deduct 117 from 120 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

On to step 7:
13 goes into 30 2 times with a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 2185.92
Deduct 26 from 30 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.

Advancing to step 8:
The number 13 fits into 40 3 times, leaving a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 2185.923
If we take 39 away from 40, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 9:
13 goes into 10 0 times with a remainder of 10.
The next digit of our result is 0. 
Result so far: 2185.923
If we take 0 away from 10, we end up 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.

Moving on to step 10:
13 can be fit into 100 7 times, resulting in a remainder of 9.
The next digit of our result is 7. 
Result so far: 2185.92307
If we take 91 away from 100, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Let's proceed to step 11:
The number 13 fits into 90 6 times, leaving a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 2185.923076
If we take 78 away from 90, we end up 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.

Step 12:
If we divide 120 by 13, we get 9 and a remainder of 3.
Record the quotient 9 as the next digit in the result. 
Result so far: 2185.9230769
The remainder is 3 after subtracting 117 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 13:
If we divide 30 by 13, we get 2 and a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 2185.92307692
If we take 26 away from 30, we end up 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.

In conclusion, the division gives 2185.92307692 with a balance of 4e-09.