822310 divided by 13 
The aim is to understand the frequency of 13 in 822310.

On to step 1:
When dividing 8 by 13, we get 0 with a remainder of 8.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 8, we end up with 8.
Bring next digit (2) of the dividend behind the 8 and repeat the process: 82 / 13

Going ahead to step 2:
When dividing 82 by 13, we get 6 with a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
The remainder is 4 after subtracting 78 from 82.
Bring next digit (2) of the dividend behind the 4 and repeat the process: 42 / 13

Advancing to step 3:
42 divided by 13 is 3 with a remainder of 3.
Use 3 as the next digit of our solution. 
Result so far: 63.0
The remainder is 3 after subtracting 39 from 42.
Grab the next digit (3) from the dividend, add it to 3, then carry on: 33 / 13

Moving on to step 4:
If we divide 33 by 13, we get 2 and a remainder of 7.
The next digit of our result is 2. 
Result so far: 632.0
The remainder is 7 after subtracting 26 from 33.
Include the next digit (1) from the dividend after 7, then repeat: 71 / 13

Going ahead to step 5:
13 can be fit into 71 5 times, resulting in a remainder of 6.
Write down 5 as next digit of the result. 
Result so far: 6325.0
Subtracting 65 from 71 leaves us with 6.
Bring next digit (0) of the dividend behind the 6 and repeat the process: 60 / 13

On to step 6:
13 can be fit into 60 4 times, resulting in a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 63254.0
If we subtract 52 from 60, we 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.

Let's proceed to step 7:
80 divided by 13 is 6 with a remainder of 2.
The next digit of our result is 6. 
Result so far: 63254.6
Subtract 78 from 80 to 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.

Advancing to step 8:
If we divide 20 by 13, we get 1 and a remainder of 7.
The next digit of our result is 1. 
Result so far: 63254.61
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.

Going ahead to step 9:
When dividing 70 by 13, we get 5 with a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 63254.615
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.

Going ahead to step 10:
13 can be fit into 50 3 times, resulting in a remainder of 11.
Use 3 as the next digit of our solution. 
Result so far: 63254.6153
If we take 39 away from 50, we end up with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 11:
13 can be fit into 110 8 times, resulting in a remainder of 6.
Write down 8 as next digit of the result. 
Result so far: 63254.61538
The remainder is 6 after subtracting 104 from 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 12:
13 goes into 60 4 times with a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 63254.615384
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:
When dividing 80 by 13, we get 6 with a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 63254.6153846
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 14:
When dividing 20 by 13, we get 1 with a remainder of 7.
The number 1 becomes the next digit in our result. 
Result so far: 63254.61538461
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 63254.61538461 with a remainder of 7e-09.