We're dividing 468592 by 13 
The aim is to understand the frequency of 13 in 468592.

Moving on to step 1:
13 goes into 4 0 times with a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Bring next digit (6) of the dividend behind the 4 and repeat the process: 46 / 13

Advancing to step 2:
If we divide 46 by 13, we get 3 and a remainder of 7.
Write down 3 as next digit of the result. 
Result so far: 3.0
Subtracting 39 from 46 leaves us with 7.
Take the next digit (8) from the dividend and append it to 7, then repeat: 78 / 13

Going ahead to step 3:
The number 13 fits into 78 6 times, leaving a remainder of 0.
Record the quotient 6 as the next digit in the result. 
Result so far: 36.0
Deduct 78 from 78 and we're left with 0.
Bring next digit (5) of the dividend behind the 0 and repeat the process: 5 / 13

Step 4:
If we divide 5 by 13, we get 0 and a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 360.0
Deduct 0 from 5 and we're left with 5.
Append the next digit (9) from the dividend to 5 and continue with: 59 / 13

Advancing to step 5:
If we divide 59 by 13, we get 4 and a remainder of 7.
Record the quotient 4 as the next digit in the result. 
Result so far: 3604.0
Deduct 52 from 59 and we're left with 7.
Include the next digit (2) from the dividend after 7, then repeat: 72 / 13

On to step 6:
72 divided by 13 is 5 with a remainder of 7.
Record the quotient 5 as the next digit in the result. 
Result so far: 36045.0
The remainder is 7 after subtracting 65 from 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 7:
The number 13 fits into 70 5 times, leaving a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 36045.5
Subtracting 65 from 70 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 8:
When dividing 50 by 13, we get 3 with a remainder of 11.
Use 3 as the next digit of our solution. 
Result so far: 36045.53
Subtract 39 from 50 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Step 9:
13 can be fit into 110 8 times, resulting in a remainder of 6.
Use 8 as the next digit of our solution. 
Result so far: 36045.538
If we subtract 104 from 110, we get 6.
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 10:
60 divided by 13 is 4 with a remainder of 8.
Write down 4 as next digit of the result. 
Result so far: 36045.5384
If we take 52 away from 60, we end up 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.

Advancing to step 11:
If we divide 80 by 13, we get 6 and a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 36045.53846
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.

Moving on to step 12:
If we divide 20 by 13, we get 1 and a remainder of 7.
Use 1 as the next digit of our solution. 
Result so far: 36045.538461
Subtracting 13 from 20 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 13:
13 can be fit into 70 5 times, resulting in a remainder of 5.
The next digit of our result is 5. 
Result so far: 36045.5384615
If we take 65 away from 70, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 14:
When dividing 50 by 13, we get 3 with a remainder of 11.
Put 3 as the next digit of the answer. 
Result so far: 36045.53846153
Subtract 39 from 50 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

In conclusion, the division gives 36045.53846153 with a balance of 1.1e-08.