42290216 divided by 506 
The aim is to understand the frequency of 506 in 42290216.

On to step 1:
When dividing 4 by 506, we get 0 with a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Append the next digit (2) from the dividend to 4 and continue with: 42 / 506

On to step 2:
When dividing 42 by 506, we get 0 with a remainder of 42.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 42, we end up with 42.
Bring next digit (2) of the dividend behind the 42 and repeat the process: 422 / 506

Step 3:
When dividing 422 by 506, we get 0 with a remainder of 422.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 422 to get 422.
Include the next digit (9) from the dividend after 422, then repeat: 4229 / 506

Step 4:
4229 divided by 506 is 8 with a remainder of 181.
Put 8 as the next digit of the answer. 
Result so far: 8.0
Subtract 4048 from 4229 to get 181.
Include the next digit (0) from the dividend after 181, then repeat: 1810 / 506

Step 5:
When dividing 1810 by 506, we get 3 with a remainder of 292.
The next digit of our result is 3. 
Result so far: 83.0
Subtract 1518 from 1810 to get 292.
Bring next digit (2) of the dividend behind the 292 and repeat the process: 2922 / 506

Step 6:
The number 506 fits into 2922 5 times, leaving a remainder of 392.
The next digit of our result is 5. 
Result so far: 835.0
If we take 2530 away from 2922, we end up with 392.
Take the next digit (1) from the dividend and append it to 392, then repeat: 3921 / 506

Going ahead to step 7:
3921 divided by 506 is 7 with a remainder of 379.
Record the quotient 7 as the next digit in the result. 
Result so far: 8357.0
If we subtract 3542 from 3921, we get 379.
Include the next digit (6) from the dividend after 379, then repeat: 3796 / 506

Moving on to step 8:
3796 divided by 506 is 7 with a remainder of 254.
The number 7 becomes the next digit in our result. 
Result so far: 83577.0
The remainder is 254 after subtracting 3542 from 3796.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2540, and continue the process.

Step 9:
506 goes into 2540 5 times with a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 83577.5
Subtract 2530 from 2540 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 10:
506 can be fit into 100 0 times, resulting in a remainder of 100.
Write down 0 as next digit of the result. 
Result so far: 83577.5
If we subtract 0 from 100, we get 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1000, and continue the process.

Moving on to step 11:
The number 506 fits into 1000 1 times, leaving a remainder of 494.
Put 1 as the next digit of the answer. 
Result so far: 83577.501
Deduct 506 from 1000 and we're left with 494.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4940, and continue the process.

Moving on to step 12:
If we divide 4940 by 506, we get 9 and a remainder of 386.
The next digit of our result is 9. 
Result so far: 83577.5019
If we subtract 4554 from 4940, we get 386.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3860, and continue the process.

Step 13:
When dividing 3860 by 506, we get 7 with a remainder of 318.
Write down 7 as next digit of the result. 
Result so far: 83577.50197
If we take 3542 away from 3860, we end up with 318.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3180, and continue the process.

Advancing to step 14:
506 can be fit into 3180 6 times, resulting in a remainder of 144.
The next digit of our result is 6. 
Result so far: 83577.501976
Deduct 3036 from 3180 and we're left with 144.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1440, and continue the process.

Going ahead to step 15:
506 can be fit into 1440 2 times, resulting in a remainder of 428.
Record the quotient 2 as the next digit in the result. 
Result so far: 83577.5019762
Subtracting 1012 from 1440 leaves us with 428.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4280, and continue the process.

Let's proceed to step 16:
When dividing 4280 by 506, we get 8 with a remainder of 232.
Write down 8 as next digit of the result. 
Result so far: 83577.50197628
If we subtract 4048 from 4280, we get 232.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2320, and continue the process.

Our division results in 83577.50197628 with a remaining 2.32e-07.