Let's divide 488369 by 13
The aim is to understand the frequency of 13 in 488369.

Advancing to step 1:
13 can be fit into 4 0 times, resulting in a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Include the next digit (8) from the dividend after 4, then repeat: 48 / 13

Advancing to step 2:
If we divide 48 by 13, we get 3 and a remainder of 9.
Use 3 as the next digit of our solution. 
Result so far: 3.0
Subtract 39 from 48 to get 9.
Append the next digit (8) from the dividend to 9 and continue with: 98 / 13

Advancing to step 3:
13 can be fit into 98 7 times, resulting in a remainder of 7.
The number 7 becomes the next digit in our result. 
Result so far: 37.0
Deduct 91 from 98 and we're left with 7.
Append the next digit (3) from the dividend to 7 and continue with: 73 / 13

Step 4:
When dividing 73 by 13, we get 5 with a remainder of 8.
Record the quotient 5 as the next digit in the result. 
Result so far: 375.0
Subtract 65 from 73 to get 8.
Take the next digit (6) from the dividend and append it to 8, then repeat: 86 / 13

Moving on to step 5:
86 divided by 13 is 6 with a remainder of 8.
The number 6 becomes the next digit in our result. 
Result so far: 3756.0
If we take 78 away from 86, we end up with 8.
Include the next digit (9) from the dividend after 8, then repeat: 89 / 13

Going ahead to step 6:
13 goes into 89 6 times with a remainder of 11.
The number 6 becomes the next digit in our result. 
Result so far: 37566.0
Deduct 78 from 89 and we're left 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.

Moving on to step 7:
When dividing 110 by 13, we get 8 with a remainder of 6.
Write down 8 as next digit of the result. 
Result so far: 37566.8
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.

Step 8:
The number 13 fits into 60 4 times, leaving a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 37566.84
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.

Advancing to step 9:
The number 13 fits into 80 6 times, leaving a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 37566.846
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.

Let's proceed to step 10:
13 can be fit into 20 1 times, resulting in a remainder of 7.
Write down 1 as next digit of the result. 
Result so far: 37566.8461
Deduct 13 from 20 and we're left 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.

Step 11:
70 divided by 13 is 5 with a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 37566.84615
If we subtract 65 from 70, we get 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 12:
50 divided by 13 is 3 with a remainder of 11.
The next digit of our result is 3. 
Result so far: 37566.846153
If we subtract 39 from 50, we 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 13:
If we divide 110 by 13, we get 8 and a remainder of 6.
Write down 8 as next digit of the result. 
Result so far: 37566.8461538
Deduct 104 from 110 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 14:
13 can be fit into 60 4 times, resulting in a remainder of 8.
The next digit of our result is 4. 
Result so far: 37566.84615384
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.

In conclusion, the division gives 37566.84615384 with a balance of 8e-09.