We look at the division of 213683 by 13 
Our goal is to divide 213683 by 13.

Advancing to step 1:
2 divided by 13 is 0 with a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 2, we get 2.
Append the next digit (1) from the dividend to 2 and continue with: 21 / 13

Step 2:
If we divide 21 by 13, we get 1 and a remainder of 8.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Deduct 13 from 21 and we're left with 8.
Take the next digit (3) from the dividend and append it to 8, then repeat: 83 / 13

Advancing to step 3:
If we divide 83 by 13, we get 6 and a remainder of 5.
The number 6 becomes the next digit in our result. 
Result so far: 16.0
If we take 78 away from 83, we end up with 5.
Bring next digit (6) of the dividend behind the 5 and repeat the process: 56 / 13

Moving on to step 4:
The number 13 fits into 56 4 times, leaving a remainder of 4.
The number 4 becomes the next digit in our result. 
Result so far: 164.0
Subtracting 52 from 56 leaves us with 4.
Grab the next digit (8) from the dividend, add it to 4, then carry on: 48 / 13

On to step 5:
48 divided by 13 is 3 with a remainder of 9.
Put 3 as the next digit of the answer. 
Result so far: 1643.0
The remainder is 9 after subtracting 39 from 48.
Grab the next digit (3) from the dividend, add it to 9, then carry on: 93 / 13

Step 6:
93 divided by 13 is 7 with a remainder of 2.
Use 7 as the next digit of our solution. 
Result so far: 16437.0
Subtract 91 from 93 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 7:
13 goes into 20 1 times with a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 16437.1
Subtracting 13 from 20 leaves us 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.

Moving on to step 8:
The number 13 fits into 70 5 times, leaving a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 16437.15
Subtracting 65 from 70 leaves us 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.

Going ahead to step 9:
When dividing 50 by 13, we get 3 with a remainder of 11.
Record the quotient 3 as the next digit in the result. 
Result so far: 16437.153
The remainder is 11 after subtracting 39 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Step 10:
When dividing 110 by 13, we get 8 with a remainder of 6.
Use 8 as the next digit of our solution. 
Result so far: 16437.1538
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.

Going ahead to step 11:
When dividing 60 by 13, we get 4 with a remainder of 8.
The number 4 becomes the next digit in our result. 
Result so far: 16437.15384
If we subtract 52 from 60, we get 8.
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 12:
When dividing 80 by 13, we get 6 with a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 16437.153846
Subtracting 78 from 80 leaves us 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.

Advancing to step 13:
13 can be fit into 20 1 times, resulting in a remainder of 7.
Write down 1 as next digit of the result. 
Result so far: 16437.1538461
If we subtract 13 from 20, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 14:
If we divide 70 by 13, we get 5 and a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 16437.15384615
If we subtract 65 from 70, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

The final outcome is 16437.15384615, with a leftover of 5e-09.