434805 ÷ 13 
The aim is to understand the frequency of 13 in 434805.

Moving on to step 1:
The number 13 fits into 4 0 times, leaving a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Append the next digit (3) from the dividend to 4 and continue with: 43 / 13

Let's proceed to step 2:
13 goes into 43 3 times with a remainder of 4.
The next digit of our result is 3. 
Result so far: 3.0
Subtracting 39 from 43 leaves us with 4.
Include the next digit (4) from the dividend after 4, then repeat: 44 / 13

Step 3:
44 divided by 13 is 3 with a remainder of 5.
Record the quotient 3 as the next digit in the result. 
Result so far: 33.0
The remainder is 5 after subtracting 39 from 44.
Append the next digit (8) from the dividend to 5 and continue with: 58 / 13

Going ahead to step 4:
13 goes into 58 4 times with a remainder of 6.
Write down 4 as next digit of the result. 
Result so far: 334.0
Subtracting 52 from 58 leaves us with 6.
Append the next digit (0) from the dividend to 6 and continue with: 60 / 13

Step 5:
60 divided by 13 is 4 with a remainder of 8.
The next digit of our result is 4. 
Result so far: 3344.0
The remainder is 8 after subtracting 52 from 60.
Append the next digit (5) from the dividend to 8 and continue with: 85 / 13

Moving on to step 6:
85 divided by 13 is 6 with a remainder of 7.
Record the quotient 6 as the next digit in the result. 
Result so far: 33446.0
Subtract 78 from 85 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Going ahead to step 7:
If we divide 70 by 13, we get 5 and a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 33446.5
Subtract 65 from 70 to 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.

Going ahead to step 8:
When dividing 50 by 13, we get 3 with a remainder of 11.
The number 3 becomes the next digit in our result. 
Result so far: 33446.53
The remainder is 11 after subtracting 39 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 9:
13 goes into 110 8 times with a remainder of 6.
The next digit of our result is 8. 
Result so far: 33446.538
Subtracting 104 from 110 leaves us 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.

Going ahead to step 10:
When dividing 60 by 13, we get 4 with a remainder of 8.
Write down 4 as next digit of the result. 
Result so far: 33446.5384
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.

On to step 11:
The number 13 fits into 80 6 times, leaving a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 33446.53846
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.
Put 1 as the next digit of the answer. 
Result so far: 33446.538461
If we take 13 away from 20, we end up 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.
Write down 5 as next digit of the result. 
Result so far: 33446.5384615
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.

Going ahead to step 14:
The number 13 fits into 50 3 times, leaving a remainder of 11.
Put 3 as the next digit of the answer. 
Result so far: 33446.53846153
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.

In conclusion, the division gives 33446.53846153 with a balance of 1.1e-08.