We look at the division of 43505 by 43 
The aim is to understand the frequency of 43 in 43505.

On to step 1:
43 goes into 4 0 times with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Bring next digit (3) of the dividend behind the 4 and repeat the process: 43 / 43

Advancing to step 2:
If we divide 43 by 43, we get 1 and a remainder of 0.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 43 from 43 and we're left with 0.
Bring next digit (5) of the dividend behind the 0 and repeat the process: 5 / 43

Going ahead to step 3:
If we divide 5 by 43, we get 0 and a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 10.0
If we subtract 0 from 5, we get 5.
Fetch the next digit (0) from the dividend, attach it to 5 and continue: 50 / 43

Moving on to step 4:
If we divide 50 by 43, we get 1 and a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 101.0
Deduct 43 from 50 and we're left with 7.
Grab the next digit (5) from the dividend, add it to 7, then carry on: 75 / 43

Moving on to step 5:
75 divided by 43 is 1 with a remainder of 32.
The next digit of our result is 1. 
Result so far: 1011.0
Subtracting 43 from 75 leaves us 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.

Advancing to step 6:
If we divide 320 by 43, we get 7 and a remainder of 19.
Use 7 as the next digit of our solution. 
Result so far: 1011.7
Subtract 301 from 320 to get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Going ahead to step 7:
190 divided by 43 is 4 with a remainder of 18.
Use 4 as the next digit of our solution. 
Result so far: 1011.74
The remainder is 18 after subtracting 172 from 190.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Moving on to step 8:
43 can be fit into 180 4 times, resulting in a remainder of 8.
The next digit of our result is 4. 
Result so far: 1011.744
If we take 172 away from 180, we end up 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.

The quotient of the division is 1011.744, and the remainder is 0.0008.