We look at the division of 766585 by 90 
We're looking to find how many times 90 goes into 766585.

Going ahead to step 1:
The number 90 fits into 7 0 times, leaving a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Append the next digit (6) from the dividend to 7 and continue with: 76 / 90

On to step 2:
If we divide 76 by 90, we get 0 and a remainder of 76.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 76 leaves us with 76.
Include the next digit (6) from the dividend after 76, then repeat: 766 / 90

On to step 3:
90 can be fit into 766 8 times, resulting in a remainder of 46.
Use 8 as the next digit of our solution. 
Result so far: 8.0
If we take 720 away from 766, we end up with 46.
Grab the next digit (5) from the dividend, add it to 46, then carry on: 465 / 90

Moving on to step 4:
When dividing 465 by 90, we get 5 with a remainder of 15.
Write down 5 as next digit of the result. 
Result so far: 85.0
Subtract 450 from 465 to get 15.
Include the next digit (8) from the dividend after 15, then repeat: 158 / 90

On to step 5:
158 divided by 90 is 1 with a remainder of 68.
Put 1 as the next digit of the answer. 
Result so far: 851.0
If we subtract 90 from 158, we get 68.
Grab the next digit (5) from the dividend, add it to 68, then carry on: 685 / 90

Let's proceed to step 6:
685 divided by 90 is 7 with a remainder of 55.
Put 7 as the next digit of the answer. 
Result so far: 8517.0
Subtract 630 from 685 to get 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Moving on to step 7:
When dividing 550 by 90, we get 6 with a remainder of 10.
Write down 6 as next digit of the result. 
Result so far: 8517.6
Subtracting 540 from 550 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 8:
90 can be fit into 100 1 times, resulting in a remainder of 10.
Record the quotient 1 as the next digit in the result. 
Result so far: 8517.61
The remainder is 10 after subtracting 90 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 9:
If we divide 100 by 90, we get 1 and a remainder of 10.
The number 1 becomes the next digit in our result. 
Result so far: 8517.611
If we take 90 away from 100, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

In conclusion, the division gives 8517.611 with a balance of 0.001.