689297 ÷ 43 
The aim is to understand the frequency of 43 in 689297.

On to step 1:
When dividing 6 by 43, we get 0 with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Bring next digit (8) of the dividend behind the 6 and repeat the process: 68 / 43

Going ahead to step 2:
68 divided by 43 is 1 with a remainder of 25.
The next digit of our result is 1. 
Result so far: 1.0
The remainder is 25 after subtracting 43 from 68.
Include the next digit (9) from the dividend after 25, then repeat: 259 / 43

Let's proceed to step 3:
The number 43 fits into 259 6 times, leaving a remainder of 1.
Write down 6 as next digit of the result. 
Result so far: 16.0
Deduct 258 from 259 and we're left with 1.
Fetch the next digit (2) from the dividend, attach it to 1 and continue: 12 / 43

Let's proceed to step 4:
43 goes into 12 0 times with a remainder of 12.
Record the quotient 0 as the next digit in the result. 
Result so far: 160.0
If we subtract 0 from 12, we get 12.
Fetch the next digit (9) from the dividend, attach it to 12 and continue: 129 / 43

On to step 5:
The number 43 fits into 129 3 times, leaving a remainder of 0.
Put 3 as the next digit of the answer. 
Result so far: 1603.0
The remainder is 0 after subtracting 129 from 129.
Fetch the next digit (7) from the dividend, attach it to 0 and continue: 7 / 43

On to step 6:
The number 43 fits into 7 0 times, leaving a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 16030.0
If we take 0 away from 7, 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.

Going ahead to step 7:
If we divide 70 by 43, we get 1 and a remainder of 27.
Record the quotient 1 as the next digit in the result. 
Result so far: 16030.1
Subtracting 43 from 70 leaves us with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Moving on to step 8:
When dividing 270 by 43, we get 6 with a remainder of 12.
The next digit of our result is 6. 
Result so far: 16030.16
If we subtract 258 from 270, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 9:
120 divided by 43 is 2 with a remainder of 34.
The next digit of our result is 2. 
Result so far: 16030.162
If we subtract 86 from 120, we get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Step 10:
If we divide 340 by 43, we get 7 and a remainder of 39.
Put 7 as the next digit of the answer. 
Result so far: 16030.1627
Subtracting 301 from 340 leaves us with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Moving on to step 11:
The number 43 fits into 390 9 times, leaving a remainder of 3.
Put 9 as the next digit of the answer. 
Result so far: 16030.16279
If we take 387 away from 390, 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.

On to step 12:
30 divided by 43 is 0 with a remainder of 30.
Write down 0 as next digit of the result. 
Result so far: 16030.16279
If we take 0 away from 30, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 13:
300 divided by 43 is 6 with a remainder of 42.
Record the quotient 6 as the next digit in the result. 
Result so far: 16030.1627906
If we take 258 away from 300, we end up with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Let's proceed to step 14:
If we divide 420 by 43, we get 9 and a remainder of 33.
Record the quotient 9 as the next digit in the result. 
Result so far: 16030.16279069
Deduct 387 from 420 and we're left with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Our division results in 16030.16279069 with a remaining 3.3e-08.