We look at the division of 42942827 by 681 
The aim is to understand the frequency of 681 in 42942827.

Advancing to step 1:
The number 681 fits into 4 0 times, leaving a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Fetch the next digit (2) from the dividend, attach it to 4 and continue: 42 / 681

Moving on to step 2:
681 goes into 42 0 times with a remainder of 42.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 42 and we're left with 42.
Fetch the next digit (9) from the dividend, attach it to 42 and continue: 429 / 681

On to step 3:
The number 681 fits into 429 0 times, leaving a remainder of 429.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 429 to get 429.
Fetch the next digit (4) from the dividend, attach it to 429 and continue: 4294 / 681

Advancing to step 4:
4294 divided by 681 is 6 with a remainder of 208.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
Deduct 4086 from 4294 and we're left with 208.
Grab the next digit (2) from the dividend, add it to 208, then carry on: 2082 / 681

Advancing to step 5:
681 goes into 2082 3 times with a remainder of 39.
The number 3 becomes the next digit in our result. 
Result so far: 63.0
The remainder is 39 after subtracting 2043 from 2082.
Take the next digit (8) from the dividend and append it to 39, then repeat: 398 / 681

Step 6:
681 goes into 398 0 times with a remainder of 398.
The next digit of our result is 0. 
Result so far: 630.0
The remainder is 398 after subtracting 0 from 398.
Include the next digit (2) from the dividend after 398, then repeat: 3982 / 681

Moving on to step 7:
If we divide 3982 by 681, we get 5 and a remainder of 577.
Put 5 as the next digit of the answer. 
Result so far: 6305.0
Deduct 3405 from 3982 and we're left with 577.
Grab the next digit (7) from the dividend, add it to 577, then carry on: 5777 / 681

Step 8:
If we divide 5777 by 681, we get 8 and a remainder of 329.
The number 8 becomes the next digit in our result. 
Result so far: 63058.0
Deduct 5448 from 5777 and we're left with 329.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3290, and continue the process.

Going ahead to step 9:
681 goes into 3290 4 times with a remainder of 566.
Put 4 as the next digit of the answer. 
Result so far: 63058.4
The remainder is 566 after subtracting 2724 from 3290.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5660, and continue the process.

Step 10:
681 goes into 5660 8 times with a remainder of 212.
Put 8 as the next digit of the answer. 
Result so far: 63058.48
If we take 5448 away from 5660, we end up with 212.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2120, and continue the process.

Step 11:
If we divide 2120 by 681, we get 3 and a remainder of 77.
The next digit of our result is 3. 
Result so far: 63058.483
Subtract 2043 from 2120 to get 77.
Since there are no more digits in the dividend, we add a zero to the remainder making it 770, and continue the process.

Moving on to step 12:
The number 681 fits into 770 1 times, leaving a remainder of 89.
The next digit of our result is 1. 
Result so far: 63058.4831
Subtracting 681 from 770 leaves us with 89.
Since there are no more digits in the dividend, we add a zero to the remainder making it 890, and continue the process.

Going ahead to step 13:
890 divided by 681 is 1 with a remainder of 209.
The next digit of our result is 1. 
Result so far: 63058.48311
Subtract 681 from 890 to get 209.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2090, and continue the process.

After the division, we end up with 63058.48311 and a remainder of 0.000209.