We're dividing 689002 by 42 
The aim is to understand the frequency of 42 in 689002.

Let's proceed to step 1:
When dividing 6 by 42, we get 0 with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Take the next digit (8) from the dividend and append it to 6, then repeat: 68 / 42

Let's proceed to step 2:
The number 42 fits into 68 1 times, leaving a remainder of 26.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we take 42 away from 68, we end up with 26.
Fetch the next digit (9) from the dividend, attach it to 26 and continue: 269 / 42

Step 3:
The number 42 fits into 269 6 times, leaving a remainder of 17.
Record the quotient 6 as the next digit in the result. 
Result so far: 16.0
Deduct 252 from 269 and we're left with 17.
Bring next digit (0) of the dividend behind the 17 and repeat the process: 170 / 42

Going ahead to step 4:
If we divide 170 by 42, we get 4 and a remainder of 2.
Use 4 as the next digit of our solution. 
Result so far: 164.0
Subtract 168 from 170 to get 2.
Append the next digit (0) from the dividend to 2 and continue with: 20 / 42

Advancing to step 5:
When dividing 20 by 42, we get 0 with a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 1640.0
Subtracting 0 from 20 leaves us with 20.
Include the next digit (2) from the dividend after 20, then repeat: 202 / 42

Going ahead to step 6:
202 divided by 42 is 4 with a remainder of 34.
The number 4 becomes the next digit in our result. 
Result so far: 16404.0
The remainder is 34 after subtracting 168 from 202.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Going ahead to step 7:
The number 42 fits into 340 8 times, leaving a remainder of 4.
Put 8 as the next digit of the answer. 
Result so far: 16404.8
The remainder is 4 after subtracting 336 from 340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 8:
If we divide 40 by 42, we get 0 and a remainder of 40.
The next digit of our result is 0. 
Result so far: 16404.8
Deduct 0 from 40 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Advancing to step 9:
The number 42 fits into 400 9 times, leaving a remainder of 22.
The next digit of our result is 9. 
Result so far: 16404.809
The remainder is 22 after subtracting 378 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Going ahead to step 10:
If we divide 220 by 42, we get 5 and a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 16404.8095
Subtracting 210 from 220 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.

Advancing to step 11:
The number 42 fits into 100 2 times, leaving a remainder of 16.
Record the quotient 2 as the next digit in the result. 
Result so far: 16404.80952
The remainder is 16 after subtracting 84 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 12:
160 divided by 42 is 3 with a remainder of 34.
Record the quotient 3 as the next digit in the result. 
Result so far: 16404.809523
Subtract 126 from 160 to 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.

Moving on to step 13:
If we divide 340 by 42, we get 8 and a remainder of 4.
Use 8 as the next digit of our solution. 
Result so far: 16404.8095238
Subtract 336 from 340 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 14:
42 can be fit into 40 0 times, resulting in a remainder of 40.
The number 0 becomes the next digit in our result. 
Result so far: 16404.8095238
Subtracting 0 from 40 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

In conclusion, the division gives 16404.8095238 with a balance of 4e-08.