953618 divided by 13 
The aim is to understand the frequency of 13 in 953618.

Going ahead to step 1:
9 divided by 13 is 0 with a remainder of 9.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 9 after subtracting 0 from 9.
Include the next digit (5) from the dividend after 9, then repeat: 95 / 13

Step 2:
The number 13 fits into 95 7 times, leaving a remainder of 4.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
The remainder is 4 after subtracting 91 from 95.
Include the next digit (3) from the dividend after 4, then repeat: 43 / 13

Moving on to step 3:
13 goes into 43 3 times with a remainder of 4.
Write down 3 as next digit of the result. 
Result so far: 73.0
If we subtract 39 from 43, we get 4.
Append the next digit (6) from the dividend to 4 and continue with: 46 / 13

Going ahead to step 4:
When dividing 46 by 13, we get 3 with a remainder of 7.
Use 3 as the next digit of our solution. 
Result so far: 733.0
The remainder is 7 after subtracting 39 from 46.
Bring next digit (1) of the dividend behind the 7 and repeat the process: 71 / 13

Going ahead to step 5:
71 divided by 13 is 5 with a remainder of 6.
Put 5 as the next digit of the answer. 
Result so far: 7335.0
If we subtract 65 from 71, we get 6.
Fetch the next digit (8) from the dividend, attach it to 6 and continue: 68 / 13

Going ahead to step 6:
When dividing 68 by 13, we get 5 with a remainder of 3.
The next digit of our result is 5. 
Result so far: 73355.0
If we subtract 65 from 68, 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 7:
13 can be fit into 30 2 times, resulting in a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 73355.2
If we take 26 away from 30, we end up 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.

On to step 8:
40 divided by 13 is 3 with a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 73355.23
Deduct 39 from 40 and we're left 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.

Let's proceed to step 9:
When dividing 10 by 13, we get 0 with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 73355.23
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.

Step 10:
13 can be fit into 100 7 times, resulting in a remainder of 9.
Use 7 as the next digit of our solution. 
Result so far: 73355.2307
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.

Step 11:
The number 13 fits into 90 6 times, leaving a remainder of 12.
Use 6 as the next digit of our solution. 
Result so far: 73355.23076
The remainder is 12 after subtracting 78 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 12:
13 can be fit into 120 9 times, resulting in a remainder of 3.
Put 9 as the next digit of the answer. 
Result so far: 73355.230769
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 13:
The number 13 fits into 30 2 times, leaving a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 73355.2307692
If we subtract 26 from 30, we 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.

Moving on to step 14:
If we divide 40 by 13, we get 3 and a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 73355.23076923
Subtract 39 from 40 to 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.

After the division, we end up with 73355.23076923 and a remainder of 1e-09.