8617 divided by 13 
Our goal is to divide 8617 by 13.

On to step 1:
The number 13 fits into 8 0 times, leaving a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 8 and we're left with 8.
Bring next digit (6) of the dividend behind the 8 and repeat the process: 86 / 13

Let's proceed to step 2:
The number 13 fits into 86 6 times, leaving a remainder of 8.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
Deduct 78 from 86 and we're left with 8.
Fetch the next digit (1) from the dividend, attach it to 8 and continue: 81 / 13

Let's proceed to step 3:
13 can be fit into 81 6 times, resulting in a remainder of 3.
The next digit of our result is 6. 
Result so far: 66.0
Subtract 78 from 81 to get 3.
Bring next digit (7) of the dividend behind the 3 and repeat the process: 37 / 13

On to step 4:
37 divided by 13 is 2 with a remainder of 11.
Put 2 as the next digit of the answer. 
Result so far: 662.0
If we take 26 away from 37, we end up with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Step 5:
13 goes into 110 8 times with a remainder of 6.
The next digit of our result is 8. 
Result so far: 662.8
The remainder is 6 after subtracting 104 from 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 6:
60 divided by 13 is 4 with a remainder of 8.
The number 4 becomes the next digit in our result. 
Result so far: 662.84
The remainder is 8 after subtracting 52 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 7:
If we divide 80 by 13, we get 6 and a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 662.846
If we take 78 away from 80, we end up 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.

Let's proceed to step 8:
13 goes into 20 1 times with a remainder of 7.
The number 1 becomes the next digit in our result. 
Result so far: 662.8461
If we take 13 away from 20, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 9:
If we divide 70 by 13, we get 5 and a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 662.84615
Deduct 65 from 70 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 10:
50 divided by 13 is 3 with a remainder of 11.
The next digit of our result is 3. 
Result so far: 662.846153
Subtract 39 from 50 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 11:
The number 13 fits into 110 8 times, leaving a remainder of 6.
The next digit of our result is 8. 
Result so far: 662.8461538
Subtracting 104 from 110 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 12:
If we divide 60 by 13, we get 4 and a remainder of 8.
The next digit of our result is 4. 
Result so far: 662.84615384
Deduct 52 from 60 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.

Our division results in 662.84615384 with a remaining 8e-09.