We're dividing 88824107 by 514 
The aim is to understand the frequency of 514 in 88824107.

Step 1:
If we divide 8 by 514, we get 0 and a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 8, we get 8.
Grab the next digit (8) from the dividend, add it to 8, then carry on: 88 / 514

Moving on to step 2:
If we divide 88 by 514, we get 0 and a remainder of 88.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 88, we end up with 88.
Fetch the next digit (8) from the dividend, attach it to 88 and continue: 888 / 514

Let's proceed to step 3:
888 divided by 514 is 1 with a remainder of 374.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 514 away from 888, we end up with 374.
Include the next digit (2) from the dividend after 374, then repeat: 3742 / 514

Moving on to step 4:
3742 divided by 514 is 7 with a remainder of 144.
Use 7 as the next digit of our solution. 
Result so far: 17.0
If we take 3598 away from 3742, we end up with 144.
Include the next digit (4) from the dividend after 144, then repeat: 1444 / 514

Moving on to step 5:
When dividing 1444 by 514, we get 2 with a remainder of 416.
The number 2 becomes the next digit in our result. 
Result so far: 172.0
If we subtract 1028 from 1444, we get 416.
Grab the next digit (1) from the dividend, add it to 416, then carry on: 4161 / 514

Moving on to step 6:
514 goes into 4161 8 times with a remainder of 49.
The next digit of our result is 8. 
Result so far: 1728.0
If we subtract 4112 from 4161, we get 49.
Grab the next digit (0) from the dividend, add it to 49, then carry on: 490 / 514

Step 7:
If we divide 490 by 514, we get 0 and a remainder of 490.
Record the quotient 0 as the next digit in the result. 
Result so far: 17280.0
Subtracting 0 from 490 leaves us with 490.
Append the next digit (7) from the dividend to 490 and continue with: 4907 / 514

On to step 8:
514 can be fit into 4907 9 times, resulting in a remainder of 281.
Write down 9 as next digit of the result. 
Result so far: 172809.0
Deduct 4626 from 4907 and we're left with 281.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2810, and continue the process.

Step 9:
514 goes into 2810 5 times with a remainder of 240.
The next digit of our result is 5. 
Result so far: 172809.5
Deduct 2570 from 2810 and we're left with 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2400, and continue the process.

Step 10:
The number 514 fits into 2400 4 times, leaving a remainder of 344.
The next digit of our result is 4. 
Result so far: 172809.54
The remainder is 344 after subtracting 2056 from 2400.
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 11:
514 goes into 3440 6 times with a remainder of 356.
Use 6 as the next digit of our solution. 
Result so far: 172809.546
If we take 3084 away from 3440, we end up 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 12:
514 can be fit into 3560 6 times, resulting in a remainder of 476.
Record the quotient 6 as the next digit in the result. 
Result so far: 172809.5466
If we take 3084 away from 3560, we end up 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.

The final result is 172809.5466 with a remainder of 0.00476.