688507 divided by 22 
The aim is to understand the frequency of 22 in 688507.

Step 1:
If we divide 6 by 22, we get 0 and a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Take the next digit (8) from the dividend and append it to 6, then repeat: 68 / 22

Advancing to step 2:
22 can be fit into 68 3 times, resulting in a remainder of 2.
Put 3 as the next digit of the answer. 
Result so far: 3.0
Deduct 66 from 68 and we're left with 2.
Bring next digit (8) of the dividend behind the 2 and repeat the process: 28 / 22

Moving on to step 3:
28 divided by 22 is 1 with a remainder of 6.
Write down 1 as next digit of the result. 
Result so far: 31.0
Deduct 22 from 28 and we're left with 6.
Grab the next digit (5) from the dividend, add it to 6, then carry on: 65 / 22

Advancing to step 4:
22 goes into 65 2 times with a remainder of 21.
Put 2 as the next digit of the answer. 
Result so far: 312.0
Subtracting 44 from 65 leaves us with 21.
Bring next digit (0) of the dividend behind the 21 and repeat the process: 210 / 22

Going ahead to step 5:
When dividing 210 by 22, we get 9 with a remainder of 12.
The next digit of our result is 9. 
Result so far: 3129.0
Deduct 198 from 210 and we're left with 12.
Take the next digit (7) from the dividend and append it to 12, then repeat: 127 / 22

Moving on to step 6:
The number 22 fits into 127 5 times, leaving a remainder of 17.
Record the quotient 5 as the next digit in the result. 
Result so far: 31295.0
If we take 110 away from 127, we end up with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Let's proceed to step 7:
When dividing 170 by 22, we get 7 with a remainder of 16.
The next digit of our result is 7. 
Result so far: 31295.7
If we subtract 154 from 170, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 8:
22 goes into 160 7 times with a remainder of 6.
The next digit of our result is 7. 
Result so far: 31295.77
If we take 154 away from 160, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

The final result is 31295.77 with a remainder of 0.006.