We look at the division of 959582 by 90 
We're looking to find how many times 90 goes into 959582.

Step 1:
90 can be fit into 9 0 times, resulting in a remainder of 9.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 9 and we're left with 9.
Grab the next digit (5) from the dividend, add it to 9, then carry on: 95 / 90

Advancing to step 2:
The number 90 fits into 95 1 times, leaving a remainder of 5.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we subtract 90 from 95, we get 5.
Fetch the next digit (9) from the dividend, attach it to 5 and continue: 59 / 90

Advancing to step 3:
If we divide 59 by 90, we get 0 and a remainder of 59.
The next digit of our result is 0. 
Result so far: 10.0
If we take 0 away from 59, we end up with 59.
Include the next digit (5) from the dividend after 59, then repeat: 595 / 90

Step 4:
The number 90 fits into 595 6 times, leaving a remainder of 55.
The next digit of our result is 6. 
Result so far: 106.0
If we take 540 away from 595, we end up with 55.
Include the next digit (8) from the dividend after 55, then repeat: 558 / 90

Let's proceed to step 5:
The number 90 fits into 558 6 times, leaving a remainder of 18.
Put 6 as the next digit of the answer. 
Result so far: 1066.0
Subtract 540 from 558 to get 18.
Include the next digit (2) from the dividend after 18, then repeat: 182 / 90

Moving on to step 6:
182 divided by 90 is 2 with a remainder of 2.
The number 2 becomes the next digit in our result. 
Result so far: 10662.0
The remainder is 2 after subtracting 180 from 182.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 7:
90 can be fit into 20 0 times, resulting in a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 10662.0
Deduct 0 from 20 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 8:
200 divided by 90 is 2 with a remainder of 20.
Use 2 as the next digit of our solution. 
Result so far: 10662.02
The remainder is 20 after subtracting 180 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 9:
90 can be fit into 200 2 times, resulting in a remainder of 20.
Put 2 as the next digit of the answer. 
Result so far: 10662.022
The remainder is 20 after subtracting 180 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

After the division, we end up with 10662.022 and a remainder of 0.002.