343021 ÷ 43 
The aim is to understand the frequency of 43 in 343021.

Going ahead to step 1:
If we divide 3 by 43, we get 0 and a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Append the next digit (4) from the dividend to 3 and continue with: 34 / 43

Step 2:
43 can be fit into 34 0 times, resulting in a remainder of 34.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 34 and we're left with 34.
Take the next digit (3) from the dividend and append it to 34, then repeat: 343 / 43

Moving on to step 3:
When dividing 343 by 43, we get 7 with a remainder of 42.
Put 7 as the next digit of the answer. 
Result so far: 7.0
Deduct 301 from 343 and we're left with 42.
Grab the next digit (0) from the dividend, add it to 42, then carry on: 420 / 43

Let's proceed to step 4:
The number 43 fits into 420 9 times, leaving a remainder of 33.
Write down 9 as next digit of the result. 
Result so far: 79.0
Subtract 387 from 420 to get 33.
Include the next digit (2) from the dividend after 33, then repeat: 332 / 43

On to step 5:
If we divide 332 by 43, we get 7 and a remainder of 31.
Use 7 as the next digit of our solution. 
Result so far: 797.0
If we subtract 301 from 332, we get 31.
Fetch the next digit (1) from the dividend, attach it to 31 and continue: 311 / 43

On to step 6:
43 goes into 311 7 times with a remainder of 10.
Put 7 as the next digit of the answer. 
Result so far: 7977.0
Subtracting 301 from 311 leaves us 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.

On to step 7:
The number 43 fits into 100 2 times, leaving a remainder of 14.
Put 2 as the next digit of the answer. 
Result so far: 7977.2
The remainder is 14 after subtracting 86 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Advancing to step 8:
If we divide 140 by 43, we get 3 and a remainder of 11.
Write down 3 as next digit of the result. 
Result so far: 7977.23
Subtract 129 from 140 to 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.

On to step 9:
The number 43 fits into 110 2 times, leaving a remainder of 24.
Write down 2 as next digit of the result. 
Result so far: 7977.232
Subtract 86 from 110 to get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Advancing to step 10:
43 can be fit into 240 5 times, resulting in a remainder of 25.
The next digit of our result is 5. 
Result so far: 7977.2325
Subtract 215 from 240 to get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Advancing to step 11:
43 goes into 250 5 times with a remainder of 35.
Write down 5 as next digit of the result. 
Result so far: 7977.23255
The remainder is 35 after subtracting 215 from 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Our division results in 7977.23255 with a remaining 3.5e-05.