Let's divide 821707 by 13
We're looking to find how many times 13 goes into 821707.

Advancing to step 1:
If we divide 8 by 13, we get 0 and a remainder of 8.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 8 leaves us with 8.
Take the next digit (2) from the dividend and append it to 8, then repeat: 82 / 13

Moving on to step 2:
82 divided by 13 is 6 with 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.
Fetch the next digit (1) from the dividend, attach it to 4 and continue: 41 / 13

On to step 3:
If we divide 41 by 13, we get 3 and a remainder of 2.
Write down 3 as next digit of the result. 
Result so far: 63.0
The remainder is 2 after subtracting 39 from 41.
Include the next digit (7) from the dividend after 2, then repeat: 27 / 13

Going ahead to step 4:
If we divide 27 by 13, we get 2 and a remainder of 1.
Write down 2 as next digit of the result. 
Result so far: 632.0
Deduct 26 from 27 and we're left with 1.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 13

On to step 5:
13 goes into 10 0 times with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 6320.0
If we take 0 away from 10, we end up with 10.
Append the next digit (7) from the dividend to 10 and continue with: 107 / 13

Step 6:
If we divide 107 by 13, we get 8 and a remainder of 3.
Write down 8 as next digit of the result. 
Result so far: 63208.0
If we take 104 away from 107, 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.

Going ahead to step 7:
When dividing 30 by 13, we get 2 with a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 63208.2
Subtract 26 from 30 to get 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 8:
40 divided by 13 is 3 with a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 63208.23
If we subtract 39 from 40, we 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 9:
13 goes into 10 0 times with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 63208.23
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.

Step 10:
13 can be fit into 100 7 times, resulting in a remainder of 9.
Put 7 as the next digit of the answer. 
Result so far: 63208.2307
Deduct 91 from 100 and we're left 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.

Let's proceed to step 11:
13 goes into 90 6 times with a remainder of 12.
Use 6 as the next digit of our solution. 
Result so far: 63208.23076
If we take 78 away from 90, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 12:
If we divide 120 by 13, we get 9 and a remainder of 3.
Write down 9 as next digit of the result. 
Result so far: 63208.230769
If we subtract 117 from 120, we get 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 13:
If we divide 30 by 13, we get 2 and a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 63208.2307692
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.

On to step 14:
When dividing 40 by 13, we get 3 with a remainder of 1.
The next digit of our result is 3. 
Result so far: 63208.23076923
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.

The final outcome is 63208.23076923, with a leftover of 1e-09.