We're dividing 821325 by 13 
We want to divide 821325 by 13.

On to step 1:
If we divide 8 by 13, we get 0 and a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 8 leaves us with 8.
Include the next digit (2) from the dividend after 8, then repeat: 82 / 13

Moving on to step 2:
The number 13 fits into 82 6 times, leaving a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 6.0
Deduct 78 from 82 and we're left with 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.
Write down 3 as next digit of the result. 
Result so far: 63.0
Subtract 39 from 41 to get 2.
Fetch the next digit (3) from the dividend, attach it to 2 and continue: 23 / 13

Going ahead to step 4:
If we divide 23 by 13, we get 1 and a remainder of 10.
The number 1 becomes the next digit in our result. 
Result so far: 631.0
If we take 13 away from 23, we end up with 10.
Grab the next digit (2) from the dividend, add it to 10, then carry on: 102 / 13

Going ahead to step 5:
When dividing 102 by 13, we get 7 with a remainder of 11.
Record the quotient 7 as the next digit in the result. 
Result so far: 6317.0
Deduct 91 from 102 and we're left with 11.
Append the next digit (5) from the dividend to 11 and continue with: 115 / 13

Advancing to step 6:
13 can be fit into 115 8 times, resulting in a remainder of 11.
The number 8 becomes the next digit in our result. 
Result so far: 63178.0
Subtract 104 from 115 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 7:
13 goes into 110 8 times with a remainder of 6.
Put 8 as the next digit of the answer. 
Result so far: 63178.8
If we take 104 away from 110, we end up 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.

On to step 8:
13 goes into 60 4 times with a remainder of 8.
Use 4 as the next digit of our solution. 
Result so far: 63178.84
Subtract 52 from 60 to 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 9:
80 divided by 13 is 6 with a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 63178.846
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.

Step 10:
13 goes into 20 1 times with a remainder of 7.
Write down 1 as next digit of the result. 
Result so far: 63178.8461
The remainder is 7 after subtracting 13 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 11:
If we divide 70 by 13, we get 5 and a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 63178.84615
If we take 65 away from 70, we end up 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.

Advancing to step 12:
13 can be fit into 50 3 times, resulting in a remainder of 11.
Write down 3 as next digit of the result. 
Result so far: 63178.846153
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.

Going ahead to step 13:
13 goes into 110 8 times with a remainder of 6.
Put 8 as the next digit of the answer. 
Result so far: 63178.8461538
If we take 104 away from 110, we end up 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.

Let's proceed to step 14:
If we divide 60 by 13, we get 4 and a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 63178.84615384
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.

After the division, we end up with 63178.84615384 and a remainder of 8e-09.