68811971 ÷ 509 
The aim is to understand the frequency of 509 in 68811971.

Step 1:
509 can be fit into 6 0 times, resulting in a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Include the next digit (8) from the dividend after 6, then repeat: 68 / 509

On to step 2:
509 goes into 68 0 times with a remainder of 68.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 68 leaves us with 68.
Bring next digit (8) of the dividend behind the 68 and repeat the process: 688 / 509

Advancing to step 3:
If we divide 688 by 509, we get 1 and a remainder of 179.
Write down 1 as next digit of the result. 
Result so far: 1.0
The remainder is 179 after subtracting 509 from 688.
Bring next digit (1) of the dividend behind the 179 and repeat the process: 1791 / 509

Let's proceed to step 4:
1791 divided by 509 is 3 with a remainder of 264.
The next digit of our result is 3. 
Result so far: 13.0
Subtracting 1527 from 1791 leaves us with 264.
Include the next digit (1) from the dividend after 264, then repeat: 2641 / 509

Moving on to step 5:
509 can be fit into 2641 5 times, resulting in a remainder of 96.
The next digit of our result is 5. 
Result so far: 135.0
Subtract 2545 from 2641 to get 96.
Grab the next digit (9) from the dividend, add it to 96, then carry on: 969 / 509

Step 6:
509 can be fit into 969 1 times, resulting in a remainder of 460.
The next digit of our result is 1. 
Result so far: 1351.0
If we subtract 509 from 969, we get 460.
Include the next digit (7) from the dividend after 460, then repeat: 4607 / 509

Step 7:
4607 divided by 509 is 9 with a remainder of 26.
The next digit of our result is 9. 
Result so far: 13519.0
Subtracting 4581 from 4607 leaves us with 26.
Append the next digit (1) from the dividend to 26 and continue with: 261 / 509

Moving on to step 8:
If we divide 261 by 509, we get 0 and a remainder of 261.
Put 0 as the next digit of the answer. 
Result so far: 135190.0
If we subtract 0 from 261, we get 261.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2610, and continue the process.

Let's proceed to step 9:
509 goes into 2610 5 times with a remainder of 65.
The number 5 becomes the next digit in our result. 
Result so far: 135190.5
Subtracting 2545 from 2610 leaves us with 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

On to step 10:
509 goes into 650 1 times with a remainder of 141.
The number 1 becomes the next digit in our result. 
Result so far: 135190.51
If we subtract 509 from 650, we get 141.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1410, and continue the process.

Let's proceed to step 11:
509 goes into 1410 2 times with a remainder of 392.
Write down 2 as next digit of the result. 
Result so far: 135190.512
Subtracting 1018 from 1410 leaves us with 392.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3920, and continue the process.

Going ahead to step 12:
3920 divided by 509 is 7 with a remainder of 357.
Put 7 as the next digit of the answer. 
Result so far: 135190.5127
Subtract 3563 from 3920 to get 357.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3570, and continue the process.

Step 13:
The number 509 fits into 3570 7 times, leaving a remainder of 7.
Use 7 as the next digit of our solution. 
Result so far: 135190.51277
If we subtract 3563 from 3570, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

After the division, we end up with 135190.51277 and a remainder of 7e-06.