85608907 ÷ 506 
The aim is to understand the frequency of 506 in 85608907.

Step 1:
The number 506 fits into 8 0 times, leaving a remainder of 8.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 8, we get 8.
Append the next digit (5) from the dividend to 8 and continue with: 85 / 506

Moving on to step 2:
506 goes into 85 0 times with a remainder of 85.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 85 and we're left with 85.
Grab the next digit (6) from the dividend, add it to 85, then carry on: 856 / 506

Moving on to step 3:
856 divided by 506 is 1 with a remainder of 350.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtract 506 from 856 to get 350.
Append the next digit (0) from the dividend to 350 and continue with: 3500 / 506

Advancing to step 4:
The number 506 fits into 3500 6 times, leaving a remainder of 464.
Write down 6 as next digit of the result. 
Result so far: 16.0
Deduct 3036 from 3500 and we're left with 464.
Include the next digit (8) from the dividend after 464, then repeat: 4648 / 506

Step 5:
When dividing 4648 by 506, we get 9 with a remainder of 94.
The next digit of our result is 9. 
Result so far: 169.0
If we take 4554 away from 4648, we end up with 94.
Bring next digit (9) of the dividend behind the 94 and repeat the process: 949 / 506

Going ahead to step 6:
506 goes into 949 1 times with a remainder of 443.
Write down 1 as next digit of the result. 
Result so far: 1691.0
Subtracting 506 from 949 leaves us with 443.
Include the next digit (0) from the dividend after 443, then repeat: 4430 / 506

Moving on to step 7:
506 goes into 4430 8 times with a remainder of 382.
Record the quotient 8 as the next digit in the result. 
Result so far: 16918.0
Deduct 4048 from 4430 and we're left with 382.
Include the next digit (7) from the dividend after 382, then repeat: 3827 / 506

Let's proceed to step 8:
When dividing 3827 by 506, we get 7 with a remainder of 285.
The number 7 becomes the next digit in our result. 
Result so far: 169187.0
Subtracting 3542 from 3827 leaves us with 285.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2850, and continue the process.

Going ahead to step 9:
When dividing 2850 by 506, we get 5 with a remainder of 320.
Record the quotient 5 as the next digit in the result. 
Result so far: 169187.5
If we take 2530 away from 2850, we end up with 320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3200, and continue the process.

Let's proceed to step 10:
If we divide 3200 by 506, we get 6 and a remainder of 164.
The next digit of our result is 6. 
Result so far: 169187.56
Subtract 3036 from 3200 to get 164.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1640, and continue the process.

Step 11:
506 goes into 1640 3 times with a remainder of 122.
Use 3 as the next digit of our solution. 
Result so far: 169187.563
Subtracting 1518 from 1640 leaves us with 122.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1220, and continue the process.

Going ahead to step 12:
506 goes into 1220 2 times with a remainder of 208.
The next digit of our result is 2. 
Result so far: 169187.5632
If we subtract 1012 from 1220, we get 208.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2080, and continue the process.

Moving on to step 13:
506 can be fit into 2080 4 times, resulting in a remainder of 56.
The number 4 becomes the next digit in our result. 
Result so far: 169187.56324
If we subtract 2024 from 2080, we get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Going ahead to step 14:
When dividing 560 by 506, we get 1 with a remainder of 54.
Use 1 as the next digit of our solution. 
Result so far: 169187.563241
Deduct 506 from 560 and we're left with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Let's proceed to step 15:
506 goes into 540 1 times with a remainder of 34.
Use 1 as the next digit of our solution. 
Result so far: 169187.5632411
If we subtract 506 from 540, we get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

The final result is 169187.5632411 with a remainder of 3.4e-07.