509106 ÷ 43 
The aim is to understand the frequency of 43 in 509106.

Advancing to step 1:
5 divided by 43 is 0 with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Fetch the next digit (0) from the dividend, attach it to 5 and continue: 50 / 43

Moving on to step 2:
If we divide 50 by 43, we get 1 and a remainder of 7.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Deduct 43 from 50 and we're left with 7.
Take the next digit (9) from the dividend and append it to 7, then repeat: 79 / 43

Moving on to step 3:
79 divided by 43 is 1 with a remainder of 36.
The number 1 becomes the next digit in our result. 
Result so far: 11.0
If we subtract 43 from 79, we get 36.
Take the next digit (1) from the dividend and append it to 36, then repeat: 361 / 43

Step 4:
The number 43 fits into 361 8 times, leaving a remainder of 17.
The number 8 becomes the next digit in our result. 
Result so far: 118.0
Subtract 344 from 361 to get 17.
Grab the next digit (0) from the dividend, add it to 17, then carry on: 170 / 43

Step 5:
43 goes into 170 3 times with a remainder of 41.
Record the quotient 3 as the next digit in the result. 
Result so far: 1183.0
Subtracting 129 from 170 leaves us with 41.
Include the next digit (6) from the dividend after 41, then repeat: 416 / 43

Moving on to step 6:
43 goes into 416 9 times with a remainder of 29.
Write down 9 as next digit of the result. 
Result so far: 11839.0
If we take 387 away from 416, we end up with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

On to step 7:
43 goes into 290 6 times with a remainder of 32.
Use 6 as the next digit of our solution. 
Result so far: 11839.6
If we take 258 away from 290, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Let's proceed to step 8:
43 goes into 320 7 times with a remainder of 19.
Use 7 as the next digit of our solution. 
Result so far: 11839.67
If we take 301 away from 320, we end up with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Let's proceed to step 9:
43 goes into 190 4 times with a remainder of 18.
Record the quotient 4 as the next digit in the result. 
Result so far: 11839.674
If we subtract 172 from 190, we get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Going ahead to step 10:
The number 43 fits into 180 4 times, leaving a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 11839.6744
Subtract 172 from 180 to 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.

After the division, we end up with 11839.6744 and a remainder of 8e-05.