We're dividing 42197262 by 514 
The aim is to understand the frequency of 514 in 42197262.

Advancing to step 1:
The number 514 fits into 4 0 times, leaving a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Grab the next digit (2) from the dividend, add it to 4, then carry on: 42 / 514

On to step 2:
When dividing 42 by 514, we get 0 with a remainder of 42.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 42 leaves us with 42.
Append the next digit (1) from the dividend to 42 and continue with: 421 / 514

Let's proceed to step 3:
421 divided by 514 is 0 with a remainder of 421.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 421 to get 421.
Bring next digit (9) of the dividend behind the 421 and repeat the process: 4219 / 514

Going ahead to step 4:
514 goes into 4219 8 times with a remainder of 107.
Put 8 as the next digit of the answer. 
Result so far: 8.0
Subtract 4112 from 4219 to get 107.
Grab the next digit (7) from the dividend, add it to 107, then carry on: 1077 / 514

On to step 5:
514 goes into 1077 2 times with a remainder of 49.
Record the quotient 2 as the next digit in the result. 
Result so far: 82.0
Subtract 1028 from 1077 to get 49.
Fetch the next digit (2) from the dividend, attach it to 49 and continue: 492 / 514

Moving on to step 6:
The number 514 fits into 492 0 times, leaving a remainder of 492.
The number 0 becomes the next digit in our result. 
Result so far: 820.0
If we take 0 away from 492, we end up with 492.
Bring next digit (6) of the dividend behind the 492 and repeat the process: 4926 / 514

Advancing to step 7:
4926 divided by 514 is 9 with a remainder of 300.
Use 9 as the next digit of our solution. 
Result so far: 8209.0
Subtract 4626 from 4926 to get 300.
Take the next digit (2) from the dividend and append it to 300, then repeat: 3002 / 514

Moving on to step 8:
514 can be fit into 3002 5 times, resulting in a remainder of 432.
Record the quotient 5 as the next digit in the result. 
Result so far: 82095.0
Deduct 2570 from 3002 and we're left with 432.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4320, and continue the process.

Moving on to step 9:
The number 514 fits into 4320 8 times, leaving a remainder of 208.
The number 8 becomes the next digit in our result. 
Result so far: 82095.8
The remainder is 208 after subtracting 4112 from 4320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2080, and continue the process.

Step 10:
When dividing 2080 by 514, we get 4 with a remainder of 24.
The number 4 becomes the next digit in our result. 
Result so far: 82095.84
If we subtract 2056 from 2080, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Advancing to step 11:
If we divide 240 by 514, we get 0 and a remainder of 240.
Record the quotient 0 as the next digit in the result. 
Result so far: 82095.84
If we subtract 0 from 240, we get 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2400, and continue the process.

Advancing to step 12:
The number 514 fits into 2400 4 times, leaving a remainder of 344.
Write down 4 as next digit of the result. 
Result so far: 82095.8404
Subtracting 2056 from 2400 leaves us with 344.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3440, and continue the process.

Let's proceed to step 13:
The number 514 fits into 3440 6 times, leaving a remainder of 356.
Use 6 as the next digit of our solution. 
Result so far: 82095.84046
Subtracting 3084 from 3440 leaves us with 356.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3560, and continue the process.

Going ahead to step 14:
514 goes into 3560 6 times with a remainder of 476.
Put 6 as the next digit of the answer. 
Result so far: 82095.840466
Deduct 3084 from 3560 and we're left with 476.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4760, and continue the process.

In conclusion, the division gives 82095.840466 with a balance of 4.76e-05.