Let's divide 434430 by 13
The aim is to understand the frequency of 13 in 434430.

Moving on to step 1:
4 divided by 13 is 0 with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Bring next digit (3) of the dividend behind the 4 and repeat the process: 43 / 13

Let's proceed to step 2:
When dividing 43 by 13, we get 3 with a remainder of 4.
Write down 3 as next digit of the result. 
Result so far: 3.0
If we subtract 39 from 43, we get 4.
Fetch the next digit (4) from the dividend, attach it to 4 and continue: 44 / 13

Moving on to step 3:
44 divided by 13 is 3 with a remainder of 5.
The number 3 becomes the next digit in our result. 
Result so far: 33.0
Subtract 39 from 44 to get 5.
Append the next digit (4) from the dividend to 5 and continue with: 54 / 13

Going ahead to step 4:
The number 13 fits into 54 4 times, leaving a remainder of 2.
Put 4 as the next digit of the answer. 
Result so far: 334.0
Subtract 52 from 54 to get 2.
Bring next digit (3) of the dividend behind the 2 and repeat the process: 23 / 13

Moving on to step 5:
13 can be fit into 23 1 times, resulting in a remainder of 10.
Put 1 as the next digit of the answer. 
Result so far: 3341.0
If we take 13 away from 23, we end up with 10.
Fetch the next digit (0) from the dividend, attach it to 10 and continue: 100 / 13

Going ahead to step 6:
When dividing 100 by 13, we get 7 with a remainder of 9.
Write down 7 as next digit of the result. 
Result so far: 33417.0
Deduct 91 from 100 and we're left with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Going ahead to step 7:
When dividing 90 by 13, we get 6 with a remainder of 12.
Record the quotient 6 as the next digit in the result. 
Result so far: 33417.6
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.

Step 8:
The number 13 fits into 120 9 times, leaving a remainder of 3.
Record the quotient 9 as the next digit in the result. 
Result so far: 33417.69
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.

Going ahead to step 9:
When dividing 30 by 13, we get 2 with a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 33417.692
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.

Step 10:
40 divided by 13 is 3 with a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 33417.6923
The remainder is 1 after subtracting 39 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 11:
When dividing 10 by 13, we get 0 with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 33417.6923
If we take 0 away from 10, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 12:
13 goes into 100 7 times with a remainder of 9.
Put 7 as the next digit of the answer. 
Result so far: 33417.692307
The remainder is 9 after subtracting 91 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Step 13:
If we divide 90 by 13, we get 6 and a remainder of 12.
The number 6 becomes the next digit in our result. 
Result so far: 33417.6923076
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.

Let's proceed to step 14:
If we divide 120 by 13, we get 9 and a remainder of 3.
The next digit of our result is 9. 
Result so far: 33417.69230769
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.

The final outcome is 33417.69230769, with a leftover of 3e-09.