We divide 821023 by 13
We want to divide 821023 by 13.

Moving on to step 1:
If we divide 8 by 13, we get 0 and a remainder of 8.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 8, we get 8.
Grab the next digit (2) from the dividend, add it to 8, then carry on: 82 / 13

Let's proceed to step 2:
13 can be fit into 82 6 times, resulting in a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
The remainder is 4 after subtracting 78 from 82.
Grab the next digit (1) from the dividend, add it to 4, then carry on: 41 / 13

Advancing to step 3:
The number 13 fits into 41 3 times, leaving a remainder of 2.
Write down 3 as next digit of the result. 
Result so far: 63.0
Subtracting 39 from 41 leaves us with 2.
Grab the next digit (0) from the dividend, add it to 2, then carry on: 20 / 13

Going ahead to step 4:
13 goes into 20 1 times with a remainder of 7.
The number 1 becomes the next digit in our result. 
Result so far: 631.0
Subtracting 13 from 20 leaves us with 7.
Take the next digit (2) from the dividend and append it to 7, then repeat: 72 / 13

Advancing to step 5:
When dividing 72 by 13, we get 5 with a remainder of 7.
The next digit of our result is 5. 
Result so far: 6315.0
Subtract 65 from 72 to get 7.
Bring next digit (3) of the dividend behind the 7 and repeat the process: 73 / 13

Moving on to step 6:
The number 13 fits into 73 5 times, leaving a remainder of 8.
The next digit of our result is 5. 
Result so far: 63155.0
If we take 65 away from 73, we end up 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.

Advancing to step 7:
13 can be fit into 80 6 times, resulting in a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 63155.6
If we subtract 78 from 80, we 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.

On to 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: 63155.61
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.

Let's proceed to step 9:
70 divided by 13 is 5 with a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 63155.615
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.

Advancing to step 10:
The number 13 fits into 50 3 times, leaving a remainder of 11.
Put 3 as the next digit of the answer. 
Result so far: 63155.6153
Subtract 39 from 50 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Going ahead to step 11:
If we divide 110 by 13, we get 8 and a remainder of 6.
The next digit of our result is 8. 
Result so far: 63155.61538
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.

Step 12:
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: 63155.615384
Deduct 52 from 60 and we're left 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.

Step 13:
80 divided by 13 is 6 with a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 63155.6153846
If we take 78 away from 80, we end up 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.

Moving on to step 14:
The number 13 fits into 20 1 times, leaving a remainder of 7.
The next digit of our result is 1. 
Result so far: 63155.61538461
Subtract 13 from 20 to 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.

The final result is 63155.61538461 with a remainder of 7e-09.