86596241 ÷ 522 
The aim is to understand the frequency of 522 in 86596241.

On to step 1:
8 divided by 522 is 0 with a remainder of 8.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 8, we end up with 8.
Bring next digit (6) of the dividend behind the 8 and repeat the process: 86 / 522

Step 2:
86 divided by 522 is 0 with a remainder of 86.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 86 after subtracting 0 from 86.
Include the next digit (5) from the dividend after 86, then repeat: 865 / 522

Going ahead to step 3:
522 goes into 865 1 times with a remainder of 343.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Deduct 522 from 865 and we're left with 343.
Include the next digit (9) from the dividend after 343, then repeat: 3439 / 522

On to step 4:
When dividing 3439 by 522, we get 6 with a remainder of 307.
The number 6 becomes the next digit in our result. 
Result so far: 16.0
Deduct 3132 from 3439 and we're left with 307.
Bring next digit (6) of the dividend behind the 307 and repeat the process: 3076 / 522

On to step 5:
522 goes into 3076 5 times with a remainder of 466.
The number 5 becomes the next digit in our result. 
Result so far: 165.0
If we subtract 2610 from 3076, we get 466.
Grab the next digit (2) from the dividend, add it to 466, then carry on: 4662 / 522

Advancing to step 6:
522 goes into 4662 8 times with a remainder of 486.
Record the quotient 8 as the next digit in the result. 
Result so far: 1658.0
Subtract 4176 from 4662 to get 486.
Fetch the next digit (4) from the dividend, attach it to 486 and continue: 4864 / 522

Going ahead to step 7:
If we divide 4864 by 522, we get 9 and a remainder of 166.
Record the quotient 9 as the next digit in the result. 
Result so far: 16589.0
If we subtract 4698 from 4864, we get 166.
Include the next digit (1) from the dividend after 166, then repeat: 1661 / 522

Step 8:
522 goes into 1661 3 times with a remainder of 95.
Use 3 as the next digit of our solution. 
Result so far: 165893.0
If we subtract 1566 from 1661, we get 95.
Since there are no more digits in the dividend, we add a zero to the remainder making it 950, and continue the process.

Step 9:
When dividing 950 by 522, we get 1 with a remainder of 428.
The next digit of our result is 1. 
Result so far: 165893.1
Subtract 522 from 950 to get 428.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4280, and continue the process.

Moving on to step 10:
The number 522 fits into 4280 8 times, leaving a remainder of 104.
Put 8 as the next digit of the answer. 
Result so far: 165893.18
Subtracting 4176 from 4280 leaves us with 104.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1040, and continue the process.

Step 11:
The number 522 fits into 1040 1 times, leaving a remainder of 518.
Put 1 as the next digit of the answer. 
Result so far: 165893.181
Subtract 522 from 1040 to get 518.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5180, and continue the process.

Advancing to step 12:
If we divide 5180 by 522, we get 9 and a remainder of 482.
Write down 9 as next digit of the result. 
Result so far: 165893.1819
If we subtract 4698 from 5180, we get 482.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4820, and continue the process.

Moving on to step 13:
If we divide 4820 by 522, we get 9 and a remainder of 122.
Put 9 as the next digit of the answer. 
Result so far: 165893.18199
Subtracting 4698 from 4820 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.

Our division results in 165893.18199 with a remaining 0.000122.