We divide 580688 by 90
The aim is to understand the frequency of 90 in 580688.

Let's proceed to step 1:
5 divided by 90 is 0 with a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Fetch the next digit (8) from the dividend, attach it to 5 and continue: 58 / 90

Advancing to step 2:
58 divided by 90 is 0 with a remainder of 58.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 58 leaves us with 58.
Append the next digit (0) from the dividend to 58 and continue with: 580 / 90

Step 3:
The number 90 fits into 580 6 times, leaving a remainder of 40.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
If we subtract 540 from 580, we get 40.
Grab the next digit (6) from the dividend, add it to 40, then carry on: 406 / 90

On to step 4:
90 goes into 406 4 times with a remainder of 46.
Write down 4 as next digit of the result. 
Result so far: 64.0
The remainder is 46 after subtracting 360 from 406.
Fetch the next digit (8) from the dividend, attach it to 46 and continue: 468 / 90

Step 5:
When dividing 468 by 90, we get 5 with a remainder of 18.
Write down 5 as next digit of the result. 
Result so far: 645.0
Subtract 450 from 468 to get 18.
Fetch the next digit (8) from the dividend, attach it to 18 and continue: 188 / 90

Let's proceed to step 6:
188 divided by 90 is 2 with a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 6452.0
If we subtract 180 from 188, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 7:
The number 90 fits into 80 0 times, leaving a remainder of 80.
Put 0 as the next digit of the answer. 
Result so far: 6452.0
Subtracting 0 from 80 leaves us with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

On to step 8:
800 divided by 90 is 8 with a remainder of 80.
Use 8 as the next digit of our solution. 
Result so far: 6452.08
Deduct 720 from 800 and we're left with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Going ahead to step 9:
90 goes into 800 8 times with a remainder of 80.
Put 8 as the next digit of the answer. 
Result so far: 6452.088
Subtracting 720 from 800 leaves us with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

In conclusion, the division gives 6452.088 with a balance of 0.008.