We look at the division of 786558 by 90 
We're looking to find how many times 90 goes into 786558.

Going ahead to step 1:
When dividing 7 by 90, we get 0 with a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Include the next digit (8) from the dividend after 7, then repeat: 78 / 90

Step 2:
78 divided by 90 is 0 with a remainder of 78.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 78 to get 78.
Include the next digit (6) from the dividend after 78, then repeat: 786 / 90

Moving on to step 3:
90 can be fit into 786 8 times, resulting in a remainder of 66.
Use 8 as the next digit of our solution. 
Result so far: 8.0
If we take 720 away from 786, we end up with 66.
Fetch the next digit (5) from the dividend, attach it to 66 and continue: 665 / 90

Advancing to step 4:
90 goes into 665 7 times with a remainder of 35.
The number 7 becomes the next digit in our result. 
Result so far: 87.0
Deduct 630 from 665 and we're left with 35.
Bring next digit (5) of the dividend behind the 35 and repeat the process: 355 / 90

On to step 5:
90 can be fit into 355 3 times, resulting in a remainder of 85.
Put 3 as the next digit of the answer. 
Result so far: 873.0
If we take 270 away from 355, we end up with 85.
Fetch the next digit (8) from the dividend, attach it to 85 and continue: 858 / 90

Step 6:
When dividing 858 by 90, we get 9 with a remainder of 48.
Use 9 as the next digit of our solution. 
Result so far: 8739.0
The remainder is 48 after subtracting 810 from 858.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Moving on to step 7:
90 can be fit into 480 5 times, resulting in a remainder of 30.
The next digit of our result is 5. 
Result so far: 8739.5
The remainder is 30 after subtracting 450 from 480.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 8:
The number 90 fits into 300 3 times, leaving a remainder of 30.
Put 3 as the next digit of the answer. 
Result so far: 8739.53
Deduct 270 from 300 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 9:
If we divide 300 by 90, we get 3 and a remainder of 30.
Use 3 as the next digit of our solution. 
Result so far: 8739.533
If we take 270 away from 300, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Our division results in 8739.533 with a remaining 0.003.