82173393 ÷ 509 
The aim is to understand the frequency of 509 in 82173393.

Step 1:
When dividing 8 by 509, we get 0 with a remainder of 8.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 8 and we're left with 8.
Append the next digit (2) from the dividend to 8 and continue with: 82 / 509

Moving on to step 2:
When dividing 82 by 509, we get 0 with a remainder of 82.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 82, we end up with 82.
Bring next digit (1) of the dividend behind the 82 and repeat the process: 821 / 509

Going ahead to step 3:
509 can be fit into 821 1 times, resulting in a remainder of 312.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Deduct 509 from 821 and we're left with 312.
Grab the next digit (7) from the dividend, add it to 312, then carry on: 3127 / 509

Moving on to step 4:
509 can be fit into 3127 6 times, resulting in a remainder of 73.
The number 6 becomes the next digit in our result. 
Result so far: 16.0
The remainder is 73 after subtracting 3054 from 3127.
Append the next digit (3) from the dividend to 73 and continue with: 733 / 509

Moving on to step 5:
509 can be fit into 733 1 times, resulting in a remainder of 224.
The next digit of our result is 1. 
Result so far: 161.0
If we subtract 509 from 733, we get 224.
Grab the next digit (3) from the dividend, add it to 224, then carry on: 2243 / 509

Going ahead to step 6:
509 can be fit into 2243 4 times, resulting in a remainder of 207.
Write down 4 as next digit of the result. 
Result so far: 1614.0
Subtract 2036 from 2243 to get 207.
Grab the next digit (9) from the dividend, add it to 207, then carry on: 2079 / 509

Let's proceed to step 7:
The number 509 fits into 2079 4 times, leaving a remainder of 43.
The number 4 becomes the next digit in our result. 
Result so far: 16144.0
Deduct 2036 from 2079 and we're left with 43.
Append the next digit (3) from the dividend to 43 and continue with: 433 / 509

Moving on to step 8:
If we divide 433 by 509, we get 0 and a remainder of 433.
Record the quotient 0 as the next digit in the result. 
Result so far: 161440.0
Deduct 0 from 433 and we're left with 433.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4330, and continue the process.

Moving on to step 9:
509 can be fit into 4330 8 times, resulting in a remainder of 258.
Use 8 as the next digit of our solution. 
Result so far: 161440.8
The remainder is 258 after subtracting 4072 from 4330.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2580, and continue the process.

On to step 10:
509 goes into 2580 5 times with a remainder of 35.
Put 5 as the next digit of the answer. 
Result so far: 161440.85
Subtract 2545 from 2580 to get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Moving on to step 11:
509 can be fit into 350 0 times, resulting in a remainder of 350.
Put 0 as the next digit of the answer. 
Result so far: 161440.85
Deduct 0 from 350 and we're left with 350.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3500, and continue the process.

Advancing to step 12:
509 can be fit into 3500 6 times, resulting in a remainder of 446.
The number 6 becomes the next digit in our result. 
Result so far: 161440.8506
If we subtract 3054 from 3500, we get 446.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4460, and continue the process.

Going ahead to step 13:
4460 divided by 509 is 8 with a remainder of 388.
Use 8 as the next digit of our solution. 
Result so far: 161440.85068
Subtracting 4072 from 4460 leaves us with 388.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3880, and continue the process.

Step 14:
3880 divided by 509 is 7 with a remainder of 317.
Put 7 as the next digit of the answer. 
Result so far: 161440.850687
Subtracting 3563 from 3880 leaves us with 317.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3170, and continue the process.

Advancing to step 15:
When dividing 3170 by 509, we get 6 with a remainder of 116.
The number 6 becomes the next digit in our result. 
Result so far: 161440.8506876
Deduct 3054 from 3170 and we're left with 116.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1160, and continue the process.

Let's proceed to step 16:
The number 509 fits into 1160 2 times, leaving a remainder of 142.
Use 2 as the next digit of our solution. 
Result so far: 161440.85068762
The remainder is 142 after subtracting 1018 from 1160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1420, and continue the process.

In conclusion, the division gives 161440.85068762 with a balance of 1.42e-07.