We look at the division of 821661 by 13 
We want to divide 821661 by 13.

Let's proceed to step 1:
13 can be fit into 8 0 times, resulting in a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 8, we get 8.
Bring next digit (2) of the dividend behind the 8 and repeat the process: 82 / 13

Let's proceed to step 2:
82 divided by 13 is 6 with a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
If we subtract 78 from 82, we get 4.
Take the next digit (1) from the dividend and append it to 4, then repeat: 41 / 13

Let's proceed to step 3:
13 goes into 41 3 times with a remainder of 2.
Put 3 as the next digit of the answer. 
Result so far: 63.0
Subtracting 39 from 41 leaves us with 2.
Take the next digit (6) from the dividend and append it to 2, then repeat: 26 / 13

Moving on to step 4:
13 goes into 26 2 times with a remainder of 0.
The next digit of our result is 2. 
Result so far: 632.0
Deduct 26 from 26 and we're left with 0.
Include the next digit (6) from the dividend after 0, then repeat: 6 / 13

Moving on to step 5:
13 can be fit into 6 0 times, resulting in a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 6320.0
Subtract 0 from 6 to get 6.
Take the next digit (1) from the dividend and append it to 6, then repeat: 61 / 13

Advancing to step 6:
The number 13 fits into 61 4 times, leaving a remainder of 9.
The number 4 becomes the next digit in our result. 
Result so far: 63204.0
Subtracting 52 from 61 leaves us 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.

Going ahead to step 7:
13 goes into 90 6 times with a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 63204.6
Subtract 78 from 90 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 8:
120 divided by 13 is 9 with a remainder of 3.
Write down 9 as next digit of the result. 
Result so far: 63204.69
Subtracting 117 from 120 leaves us 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 9:
If we divide 30 by 13, we get 2 and a remainder of 4.
The next digit of our result is 2. 
Result so far: 63204.692
The remainder is 4 after subtracting 26 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 10:
13 can be fit into 40 3 times, resulting in a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 63204.6923
Subtract 39 from 40 to get 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 11:
The number 13 fits into 10 0 times, leaving a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 63204.6923
If we take 0 away from 10, we end up 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.

Step 12:
13 goes into 100 7 times with a remainder of 9.
Record the quotient 7 as the next digit in the result. 
Result so far: 63204.692307
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.

Moving on to step 13:
The number 13 fits into 90 6 times, leaving a remainder of 12.
Write down 6 as next digit of the result. 
Result so far: 63204.6923076
Subtract 78 from 90 to get 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 14:
If we divide 120 by 13, we get 9 and a remainder of 3.
The next digit of our result is 9. 
Result so far: 63204.69230769
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.

In conclusion, the division gives 63204.69230769 with a balance of 3e-09.