We look at the division of 785669 by 90 
We want to figure out the number of times 785669 can be divided by 90.

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
If we subtract 0 from 7, we get 7.
Append the next digit (8) from the dividend to 7 and continue with: 78 / 90

Moving on to step 2:
90 can be fit into 78 0 times, resulting in a remainder of 78.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 78, we get 78.
Include the next digit (5) from the dividend after 78, then repeat: 785 / 90

Let's proceed to step 3:
If we divide 785 by 90, we get 8 and a remainder of 65.
The next digit of our result is 8. 
Result so far: 8.0
Deduct 720 from 785 and we're left with 65.
Take the next digit (6) from the dividend and append it to 65, then repeat: 656 / 90

Moving on to step 4:
The number 90 fits into 656 7 times, leaving a remainder of 26.
Use 7 as the next digit of our solution. 
Result so far: 87.0
If we take 630 away from 656, we end up with 26.
Include the next digit (6) from the dividend after 26, then repeat: 266 / 90

Going ahead to step 5:
90 goes into 266 2 times with a remainder of 86.
Record the quotient 2 as the next digit in the result. 
Result so far: 872.0
If we subtract 180 from 266, we get 86.
Take the next digit (9) from the dividend and append it to 86, then repeat: 869 / 90

Let's proceed to step 6:
When dividing 869 by 90, we get 9 with a remainder of 59.
Record the quotient 9 as the next digit in the result. 
Result so far: 8729.0
Subtracting 810 from 869 leaves us with 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Step 7:
90 goes into 590 6 times with a remainder of 50.
Put 6 as the next digit of the answer. 
Result so far: 8729.6
If we subtract 540 from 590, we get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Step 8:
When dividing 500 by 90, we get 5 with a remainder of 50.
Record the quotient 5 as the next digit in the result. 
Result so far: 8729.65
If we take 450 away from 500, we end up with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

On to step 9:
500 divided by 90 is 5 with a remainder of 50.
The number 5 becomes the next digit in our result. 
Result so far: 8729.655
If we subtract 450 from 500, we get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

The final outcome is 8729.655, with a leftover of 0.005.