Let's divide 821887 by 13
We're looking to find how many times 13 goes into 821887.

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
Subtracting 0 from 8 leaves us with 8.
Fetch the next digit (2) from the dividend, attach it to 8 and continue: 82 / 13

Moving on to step 2:
13 goes into 82 6 times with a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
If we take 78 away from 82, we end up with 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 13

Step 3:
13 goes into 41 3 times with a remainder of 2.
The number 3 becomes the next digit in our result. 
Result so far: 63.0
Subtracting 39 from 41 leaves us with 2.
Bring next digit (8) of the dividend behind the 2 and repeat the process: 28 / 13

Going ahead to step 4:
When dividing 28 by 13, we get 2 with a remainder of 2.
The number 2 becomes the next digit in our result. 
Result so far: 632.0
Subtract 26 from 28 to get 2.
Bring next digit (8) of the dividend behind the 2 and repeat the process: 28 / 13

Going ahead to step 5:
The number 13 fits into 28 2 times, leaving a remainder of 2.
The number 2 becomes the next digit in our result. 
Result so far: 6322.0
The remainder is 2 after subtracting 26 from 28.
Include the next digit (7) from the dividend after 2, then repeat: 27 / 13

Moving on to step 6:
The number 13 fits into 27 2 times, leaving a remainder of 1.
Put 2 as the next digit of the answer. 
Result so far: 63222.0
The remainder is 1 after subtracting 26 from 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 7:
13 can be fit into 10 0 times, resulting in a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 63222.0
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 8:
100 divided by 13 is 7 with a remainder of 9.
Use 7 as the next digit of our solution. 
Result so far: 63222.07
If we take 91 away from 100, we end up 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.

Moving on to step 9:
If we divide 90 by 13, we get 6 and a remainder of 12.
Record the quotient 6 as the next digit in the result. 
Result so far: 63222.076
If we subtract 78 from 90, we 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.

Let's proceed to step 10:
13 goes into 120 9 times with a remainder of 3.
Put 9 as the next digit of the answer. 
Result so far: 63222.0769
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.

Moving on to step 11:
13 goes into 30 2 times with a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 63222.07692
Deduct 26 from 30 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 12:
When dividing 40 by 13, we get 3 with a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 63222.076923
If we take 39 away from 40, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 13:
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: 63222.076923
Subtract 0 from 10 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 14:
13 goes into 100 7 times with a remainder of 9.
Write down 7 as next digit of the result. 
Result so far: 63222.07692307
If we subtract 91 from 100, we 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.

In conclusion, the division gives 63222.07692307 with a balance of 9e-09.