8189 divided by 13 
We want to divide 8189 by 13.

On to step 1:
13 can be fit into 8 0 times, resulting in a remainder of 8.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 8, we end up with 8.
Append the next digit (1) from the dividend to 8 and continue with: 81 / 13

Let's proceed to step 2:
81 divided by 13 is 6 with a remainder of 3.
Put 6 as the next digit of the answer. 
Result so far: 6.0
If we take 78 away from 81, we end up with 3.
Include the next digit (8) from the dividend after 3, then repeat: 38 / 13

Step 3:
38 divided by 13 is 2 with a remainder of 12.
The number 2 becomes the next digit in our result. 
Result so far: 62.0
The remainder is 12 after subtracting 26 from 38.
Fetch the next digit (9) from the dividend, attach it to 12 and continue: 129 / 13

Advancing to step 4:
13 can be fit into 129 9 times, resulting in a remainder of 12.
Put 9 as the next digit of the answer. 
Result so far: 629.0
The remainder is 12 after subtracting 117 from 129.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 5:
13 goes into 120 9 times with a remainder of 3.
Put 9 as the next digit of the answer. 
Result so far: 629.9
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.

Advancing to step 6:
30 divided by 13 is 2 with a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 629.92
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.

Let's proceed to step 7:
When dividing 40 by 13, we get 3 with a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 629.923
Subtracting 39 from 40 leaves us 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.

Let's proceed to step 8:
If we divide 10 by 13, we get 0 and a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 629.923
Subtracting 0 from 10 leaves us 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 9:
13 can be fit into 100 7 times, resulting in a remainder of 9.
Write down 7 as next digit of the result. 
Result so far: 629.92307
Deduct 91 from 100 and we're left 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.

Step 10:
90 divided by 13 is 6 with a remainder of 12.
Write down 6 as next digit of the result. 
Result so far: 629.923076
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.

On to step 11:
If we divide 120 by 13, we get 9 and a remainder of 3.
Use 9 as the next digit of our solution. 
Result so far: 629.9230769
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.

Going ahead to step 12:
30 divided by 13 is 2 with a remainder of 4.
The next digit of our result is 2. 
Result so far: 629.92307692
Subtract 26 from 30 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

The final outcome is 629.92307692, with a leftover of 4e-09.