818635 ÷ 13 
We want to figure out the number of times 818635 can be divided by 13.

Advancing to step 1:
The number 13 fits into 8 0 times, leaving a remainder of 8.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 8 to get 8.
Include the next digit (1) from the dividend after 8, then repeat: 81 / 13

On to step 2:
81 divided by 13 is 6 with a remainder of 3.
Put 6 as the next digit of the answer. 
Result so far: 6.0
Deduct 78 from 81 and we're left with 3.
Grab the next digit (8) from the dividend, add it to 3, then carry on: 38 / 13

Step 3:
The number 13 fits into 38 2 times, leaving a remainder of 12.
The next digit of our result is 2. 
Result so far: 62.0
Subtracting 26 from 38 leaves us with 12.
Bring next digit (6) of the dividend behind the 12 and repeat the process: 126 / 13

Moving on to step 4:
The number 13 fits into 126 9 times, leaving a remainder of 9.
The number 9 becomes the next digit in our result. 
Result so far: 629.0
If we subtract 117 from 126, we get 9.
Grab the next digit (3) from the dividend, add it to 9, then carry on: 93 / 13

On to step 5:
If we divide 93 by 13, we get 7 and a remainder of 2.
The next digit of our result is 7. 
Result so far: 6297.0
If we take 91 away from 93, we end up with 2.
Include the next digit (5) from the dividend after 2, then repeat: 25 / 13

Step 6:
13 goes into 25 1 times with a remainder of 12.
Write down 1 as next digit of the result. 
Result so far: 62971.0
If we subtract 13 from 25, 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 7:
When dividing 120 by 13, we get 9 with a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 62971.9
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.

Advancing to step 8:
13 goes into 30 2 times with a remainder of 4.
The next digit of our result is 2. 
Result so far: 62971.92
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 9:
40 divided by 13 is 3 with a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 62971.923
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.

Going ahead to step 10:
10 divided by 13 is 0 with a remainder of 10.
The next digit of our result is 0. 
Result so far: 62971.923
If we subtract 0 from 10, we 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.

Moving on to step 11:
When dividing 100 by 13, we get 7 with a remainder of 9.
Put 7 as the next digit of the answer. 
Result so far: 62971.92307
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 12:
90 divided by 13 is 6 with a remainder of 12.
Use 6 as the next digit of our solution. 
Result so far: 62971.923076
Deduct 78 from 90 and we're left 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.

Step 13:
13 goes into 120 9 times with a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 62971.9230769
Subtract 117 from 120 to 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.

On to step 14:
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: 62971.92307692
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.

After the division, we end up with 62971.92307692 and a remainder of 4e-09.