8535754 ÷ 506 
The aim is to understand the frequency of 506 in 8535754.

Advancing to step 1:
When dividing 8 by 506, we get 0 with a remainder of 8.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 8 to get 8.
Take the next digit (5) from the dividend and append it to 8, then repeat: 85 / 506

Step 2:
506 goes into 85 0 times with a remainder of 85.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 85, we get 85.
Fetch the next digit (3) from the dividend, attach it to 85 and continue: 853 / 506

Going ahead to step 3:
853 divided by 506 is 1 with a remainder of 347.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtracting 506 from 853 leaves us with 347.
Fetch the next digit (5) from the dividend, attach it to 347 and continue: 3475 / 506

Let's proceed to step 4:
When dividing 3475 by 506, we get 6 with a remainder of 439.
The next digit of our result is 6. 
Result so far: 16.0
If we subtract 3036 from 3475, we get 439.
Bring next digit (7) of the dividend behind the 439 and repeat the process: 4397 / 506

On to step 5:
4397 divided by 506 is 8 with a remainder of 349.
Use 8 as the next digit of our solution. 
Result so far: 168.0
Subtracting 4048 from 4397 leaves us with 349.
Bring next digit (5) of the dividend behind the 349 and repeat the process: 3495 / 506

On to step 6:
When dividing 3495 by 506, we get 6 with a remainder of 459.
The next digit of our result is 6. 
Result so far: 1686.0
If we take 3036 away from 3495, we end up with 459.
Grab the next digit (4) from the dividend, add it to 459, then carry on: 4594 / 506

Moving on to step 7:
When dividing 4594 by 506, we get 9 with a remainder of 40.
Record the quotient 9 as the next digit in the result. 
Result so far: 16869.0
Subtract 4554 from 4594 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Going ahead to step 8:
506 goes into 400 0 times with a remainder of 400.
Use 0 as the next digit of our solution. 
Result so far: 16869.0
If we subtract 0 from 400, we get 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4000, and continue the process.

Step 9:
If we divide 4000 by 506, we get 7 and a remainder of 458.
Put 7 as the next digit of the answer. 
Result so far: 16869.07
Subtracting 3542 from 4000 leaves us with 458.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4580, and continue the process.

Going ahead to step 10:
506 goes into 4580 9 times with a remainder of 26.
The number 9 becomes the next digit in our result. 
Result so far: 16869.079
The remainder is 26 after subtracting 4554 from 4580.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Let's proceed to step 11:
260 divided by 506 is 0 with a remainder of 260.
The next digit of our result is 0. 
Result so far: 16869.079
Deduct 0 from 260 and we're left with 260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2600, and continue the process.

Let's proceed to step 12:
506 goes into 2600 5 times with a remainder of 70.
Use 5 as the next digit of our solution. 
Result so far: 16869.07905
If we subtract 2530 from 2600, we get 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

On to step 13:
506 can be fit into 700 1 times, resulting in a remainder of 194.
The next digit of our result is 1. 
Result so far: 16869.079051
Subtracting 506 from 700 leaves us with 194.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1940, and continue the process.

Step 14:
506 goes into 1940 3 times with a remainder of 422.
Put 3 as the next digit of the answer. 
Result so far: 16869.0790513
Subtract 1518 from 1940 to get 422.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4220, and continue the process.

Step 15:
If we divide 4220 by 506, we get 8 and a remainder of 172.
Use 8 as the next digit of our solution. 
Result so far: 16869.07905138
The remainder is 172 after subtracting 4048 from 4220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1720, and continue the process.

The final outcome is 16869.07905138, with a leftover of 1.72e-07.