We look at the division of 216614 by 13 
Our goal is to divide 216614 by 13.

Step 1:
When dividing 2 by 13, we get 0 with a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 2, we end up with 2.
Fetch the next digit (1) from the dividend, attach it to 2 and continue: 21 / 13

Going ahead to step 2:
21 divided by 13 is 1 with 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.
Include the next digit (6) from the dividend after 8, then repeat: 86 / 13

Advancing to step 3:
13 can be fit into 86 6 times, resulting in a remainder of 8.
Put 6 as the next digit of the answer. 
Result so far: 16.0
Subtracting 78 from 86 leaves us with 8.
Grab the next digit (6) from the dividend, add it to 8, then carry on: 86 / 13

Let's proceed to step 4:
86 divided by 13 is 6 with a remainder of 8.
The number 6 becomes the next digit in our result. 
Result so far: 166.0
If we subtract 78 from 86, we get 8.
Fetch the next digit (1) from the dividend, attach it to 8 and continue: 81 / 13

On to step 5:
81 divided by 13 is 6 with a remainder of 3.
The number 6 becomes the next digit in our result. 
Result so far: 1666.0
If we subtract 78 from 81, we get 3.
Grab the next digit (4) from the dividend, add it to 3, then carry on: 34 / 13

On to step 6:
13 goes into 34 2 times with a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 16662.0
If we subtract 26 from 34, 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.

On to step 7:
If we divide 80 by 13, we get 6 and a remainder of 2.
The next digit of our result is 6. 
Result so far: 16662.6
Deduct 78 from 80 and we're left 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.

Step 8:
13 goes into 20 1 times with a remainder of 7.
Put 1 as the next digit of the answer. 
Result so far: 16662.61
Deduct 13 from 20 and we're left 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 9:
13 can be fit into 70 5 times, resulting in a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 16662.615
The remainder is 5 after subtracting 65 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 10:
50 divided by 13 is 3 with a remainder of 11.
Record the quotient 3 as the next digit in the result. 
Result so far: 16662.6153
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.

Let's proceed to step 11:
13 can be fit into 110 8 times, resulting in a remainder of 6.
The next digit of our result is 8. 
Result so far: 16662.61538
Deduct 104 from 110 and we're left 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.

Advancing to step 12:
13 goes into 60 4 times with a remainder of 8.
Write down 4 as next digit of the result. 
Result so far: 16662.615384
Subtracting 52 from 60 leaves us 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.

Let's proceed to step 13:
The number 13 fits into 80 6 times, leaving a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 16662.6153846
The remainder is 2 after subtracting 78 from 80.
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 14:
If we divide 20 by 13, we get 1 and a remainder of 7.
The next digit of our result is 1. 
Result so far: 16662.61538461
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.

The quotient of the division is 16662.61538461, and the remainder is 7e-09.