465677 ÷ 13 
The aim is to understand the frequency of 13 in 465677.

Moving on to step 1:
13 goes into 4 0 times with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Bring next digit (6) of the dividend behind the 4 and repeat the process: 46 / 13

Step 2:
The number 13 fits into 46 3 times, leaving a remainder of 7.
Put 3 as the next digit of the answer. 
Result so far: 3.0
If we take 39 away from 46, we end up with 7.
Include the next digit (5) from the dividend after 7, then repeat: 75 / 13

Step 3:
75 divided by 13 is 5 with a remainder of 10.
The number 5 becomes the next digit in our result. 
Result so far: 35.0
If we take 65 away from 75, we end up with 10.
Include the next digit (6) from the dividend after 10, then repeat: 106 / 13

Moving on to step 4:
When dividing 106 by 13, we get 8 with a remainder of 2.
Write down 8 as next digit of the result. 
Result so far: 358.0
The remainder is 2 after subtracting 104 from 106.
Fetch the next digit (7) from the dividend, attach it to 2 and continue: 27 / 13

Moving on to step 5:
13 goes into 27 2 times with a remainder of 1.
Write down 2 as next digit of the result. 
Result so far: 3582.0
The remainder is 1 after subtracting 26 from 27.
Bring next digit (7) of the dividend behind the 1 and repeat the process: 17 / 13

Step 6:
13 can be fit into 17 1 times, resulting in a remainder of 4.
The number 1 becomes the next digit in our result. 
Result so far: 35821.0
Subtract 13 from 17 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.

Going ahead to step 7:
When dividing 40 by 13, we get 3 with a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 35821.3
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.

Advancing to step 8:
When dividing 10 by 13, we get 0 with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 35821.3
Subtract 0 from 10 to 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 9:
If we divide 100 by 13, we get 7 and a remainder of 9.
The number 7 becomes the next digit in our result. 
Result so far: 35821.307
If we subtract 91 from 100, we 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 10:
If we divide 90 by 13, we get 6 and a remainder of 12.
The next digit of our result is 6. 
Result so far: 35821.3076
Subtracting 78 from 90 leaves us 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.

Advancing to step 11:
120 divided by 13 is 9 with a remainder of 3.
Write down 9 as next digit of the result. 
Result so far: 35821.30769
The remainder is 3 after subtracting 117 from 120.
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 12:
30 divided by 13 is 2 with a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 35821.307692
Subtracting 26 from 30 leaves us 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.

Going ahead to step 13:
The number 13 fits into 40 3 times, leaving a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 35821.3076923
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.

Step 14:
13 goes into 10 0 times with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 35821.3076923
Subtract 0 from 10 to 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.

In conclusion, the division gives 35821.3076923 with a balance of 1e-08.