86365226 ÷ 501 
The aim is to understand the frequency of 501 in 86365226.

Moving on to step 1:
501 goes into 8 0 times with a remainder of 8.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 8 leaves us with 8.
Take the next digit (6) from the dividend and append it to 8, then repeat: 86 / 501

Step 2:
When dividing 86 by 501, we get 0 with a remainder of 86.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 86 leaves us with 86.
Take the next digit (3) from the dividend and append it to 86, then repeat: 863 / 501

Step 3:
If we divide 863 by 501, we get 1 and a remainder of 362.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we take 501 away from 863, we end up with 362.
Fetch the next digit (6) from the dividend, attach it to 362 and continue: 3626 / 501

Let's proceed to step 4:
If we divide 3626 by 501, we get 7 and a remainder of 119.
Use 7 as the next digit of our solution. 
Result so far: 17.0
Deduct 3507 from 3626 and we're left with 119.
Bring next digit (5) of the dividend behind the 119 and repeat the process: 1195 / 501

Let's proceed to step 5:
If we divide 1195 by 501, we get 2 and a remainder of 193.
The next digit of our result is 2. 
Result so far: 172.0
If we take 1002 away from 1195, we end up with 193.
Take the next digit (2) from the dividend and append it to 193, then repeat: 1932 / 501

Advancing to step 6:
If we divide 1932 by 501, we get 3 and a remainder of 429.
The next digit of our result is 3. 
Result so far: 1723.0
Subtracting 1503 from 1932 leaves us with 429.
Append the next digit (2) from the dividend to 429 and continue with: 4292 / 501

On to step 7:
4292 divided by 501 is 8 with a remainder of 284.
The number 8 becomes the next digit in our result. 
Result so far: 17238.0
If we take 4008 away from 4292, we end up with 284.
Take the next digit (6) from the dividend and append it to 284, then repeat: 2846 / 501

Advancing to step 8:
501 goes into 2846 5 times with a remainder of 341.
Use 5 as the next digit of our solution. 
Result so far: 172385.0
Deduct 2505 from 2846 and we're left with 341.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3410, and continue the process.

Moving on to step 9:
When dividing 3410 by 501, we get 6 with a remainder of 404.
Write down 6 as next digit of the result. 
Result so far: 172385.6
If we take 3006 away from 3410, we end up with 404.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4040, and continue the process.

Let's proceed to step 10:
When dividing 4040 by 501, we get 8 with a remainder of 32.
The next digit of our result is 8. 
Result so far: 172385.68
If we subtract 4008 from 4040, we get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Moving on to step 11:
If we divide 320 by 501, we get 0 and a remainder of 320.
Write down 0 as next digit of the result. 
Result so far: 172385.68
The remainder is 320 after subtracting 0 from 320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3200, and continue the process.

Moving on to step 12:
3200 divided by 501 is 6 with a remainder of 194.
Write down 6 as next digit of the result. 
Result so far: 172385.6806
Subtracting 3006 from 3200 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.

Going ahead to step 13:
501 can be fit into 1940 3 times, resulting in a remainder of 437.
Record the quotient 3 as the next digit in the result. 
Result so far: 172385.68063
If we subtract 1503 from 1940, we get 437.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4370, and continue the process.

Going ahead to step 14:
When dividing 4370 by 501, we get 8 with a remainder of 362.
Record the quotient 8 as the next digit in the result. 
Result so far: 172385.680638
Subtract 4008 from 4370 to get 362.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3620, and continue the process.

Step 15:
When dividing 3620 by 501, we get 7 with a remainder of 113.
The next digit of our result is 7. 
Result so far: 172385.6806387
The remainder is 113 after subtracting 3507 from 3620.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1130, and continue the process.

Let's proceed to step 16:
1130 divided by 501 is 2 with a remainder of 128.
Put 2 as the next digit of the answer. 
Result so far: 172385.68063872
Subtracting 1002 from 1130 leaves us with 128.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1280, and continue the process.

Our division results in 172385.68063872 with a remaining 1.28e-07.