We're dividing 21163 by 13 
Our goal is to divide 21163 by 13.

Moving on to step 1:
When dividing 2 by 13, we get 0 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.
Append the next digit (1) from the dividend to 2 and continue with: 21 / 13

Step 2:
When dividing 21 by 13, we get 1 with a remainder of 8.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtracting 13 from 21 leaves us with 8.
Fetch the next digit (1) from the dividend, attach it to 8 and continue: 81 / 13

On to step 3:
If we divide 81 by 13, we get 6 and a remainder of 3.
The number 6 becomes the next digit in our result. 
Result so far: 16.0
Subtract 78 from 81 to get 3.
Take the next digit (6) from the dividend and append it to 3, then repeat: 36 / 13

On to step 4:
36 divided by 13 is 2 with a remainder of 10.
The number 2 becomes the next digit in our result. 
Result so far: 162.0
The remainder is 10 after subtracting 26 from 36.
Fetch the next digit (3) from the dividend, attach it to 10 and continue: 103 / 13

Step 5:
The number 13 fits into 103 7 times, leaving a remainder of 12.
Use 7 as the next digit of our solution. 
Result so far: 1627.0
Deduct 91 from 103 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.

Going ahead to step 6:
When dividing 120 by 13, we get 9 with a remainder of 3.
Put 9 as the next digit of the answer. 
Result so far: 1627.9
If we take 117 away from 120, we end up 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.

Step 7:
When dividing 30 by 13, we get 2 with a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 1627.92
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.

Moving on to step 8:
13 can be fit into 40 3 times, resulting in a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 1627.923
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.

On to step 9:
13 can be fit into 10 0 times, resulting in a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 1627.923
Subtract 0 from 10 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.

Moving on to step 10:
13 goes into 100 7 times with a remainder of 9.
Use 7 as the next digit of our solution. 
Result so far: 1627.92307
Subtract 91 from 100 to get 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:
13 goes into 90 6 times with a remainder of 12.
The number 6 becomes the next digit in our result. 
Result so far: 1627.923076
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.

Going ahead to step 12:
120 divided by 13 is 9 with a remainder of 3.
The next digit of our result is 9. 
Result so far: 1627.9230769
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.

Going ahead 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: 1627.92307692
Subtracting 26 from 30 leaves us 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.

The final result is 1627.92307692 with a remainder of 4e-09.