4089 ÷ 69 
The aim is to understand the frequency of 69 in 4089.

Advancing to step 1:
The number 69 fits into 4 0 times, leaving a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Bring next digit (0) of the dividend behind the 4 and repeat the process: 40 / 69

Advancing to step 2:
If we divide 40 by 69, we get 0 and a remainder of 40.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 40 after subtracting 0 from 40.
Bring next digit (8) of the dividend behind the 40 and repeat the process: 408 / 69

Step 3:
If we divide 408 by 69, we get 5 and a remainder of 63.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
If we take 345 away from 408, we end up with 63.
Grab the next digit (9) from the dividend, add it to 63, then carry on: 639 / 69

Advancing to step 4:
The number 69 fits into 639 9 times, leaving a remainder of 18.
The number 9 becomes the next digit in our result. 
Result so far: 59.0
Subtracting 621 from 639 leaves us with 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 5:
When dividing 180 by 69, we get 2 with a remainder of 42.
Record the quotient 2 as the next digit in the result. 
Result so far: 59.2
The remainder is 42 after subtracting 138 from 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

On to step 6:
69 goes into 420 6 times with a remainder of 6.
Write down 6 as next digit of the result. 
Result so far: 59.26
If we take 414 away from 420, we end up 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.

Moving on to step 7:
When dividing 60 by 69, we get 0 with a remainder of 60.
Record the quotient 0 as the next digit in the result. 
Result so far: 59.26
If we subtract 0 from 60, we get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Moving on to step 8:
When dividing 600 by 69, we get 8 with a remainder of 48.
The number 8 becomes the next digit in our result. 
Result so far: 59.2608
Subtract 552 from 600 to get 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Let's proceed to step 9:
480 divided by 69 is 6 with a remainder of 66.
The next digit of our result is 6. 
Result so far: 59.26086
If we subtract 414 from 480, we get 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

On to step 10:
If we divide 660 by 69, we get 9 and a remainder of 39.
Put 9 as the next digit of the answer. 
Result so far: 59.260869
The remainder is 39 after subtracting 621 from 660.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Advancing to step 11:
69 can be fit into 390 5 times, resulting in a remainder of 45.
Write down 5 as next digit of the result. 
Result so far: 59.2608695
The remainder is 45 after subtracting 345 from 390.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Going ahead to step 12:
450 divided by 69 is 6 with a remainder of 36.
Record the quotient 6 as the next digit in the result. 
Result so far: 59.26086956
If we take 414 away from 450, we end up with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

The final result is 59.26086956 with a remainder of 3.6e-08.