768689 divided by 42 
The aim is to understand the frequency of 42 in 768689.

On to step 1:
42 goes into 7 0 times with a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Bring next digit (6) of the dividend behind the 7 and repeat the process: 76 / 42

Moving on to step 2:
The number 42 fits into 76 1 times, leaving a remainder of 34.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 42 from 76 and we're left with 34.
Grab the next digit (8) from the dividend, add it to 34, then carry on: 348 / 42

Advancing to step 3:
The number 42 fits into 348 8 times, leaving a remainder of 12.
Record the quotient 8 as the next digit in the result. 
Result so far: 18.0
If we subtract 336 from 348, we get 12.
Grab the next digit (6) from the dividend, add it to 12, then carry on: 126 / 42

On to step 4:
If we divide 126 by 42, we get 3 and a remainder of 0.
The next digit of our result is 3. 
Result so far: 183.0
If we take 126 away from 126, we end up with 0.
Grab the next digit (8) from the dividend, add it to 0, then carry on: 8 / 42

Moving on to step 5:
8 divided by 42 is 0 with a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 1830.0
If we take 0 away from 8, we end up with 8.
Fetch the next digit (9) from the dividend, attach it to 8 and continue: 89 / 42

Step 6:
42 goes into 89 2 times with a remainder of 5.
The next digit of our result is 2. 
Result so far: 18302.0
Deduct 84 from 89 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 7:
42 can be fit into 50 1 times, resulting in a remainder of 8.
Record the quotient 1 as the next digit in the result. 
Result so far: 18302.1
Subtract 42 from 50 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 8:
80 divided by 42 is 1 with a remainder of 38.
Put 1 as the next digit of the answer. 
Result so far: 18302.11
Subtracting 42 from 80 leaves us with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

In conclusion, the division gives 18302.11 with a balance of 0.038.