We're dividing 958882 by 90 
We're looking to find how many times 90 goes into 958882.

Step 1:
When dividing 9 by 90, we get 0 with a remainder of 9.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 9 after subtracting 0 from 9.
Fetch the next digit (5) from the dividend, attach it to 9 and continue: 95 / 90

Going ahead to step 2:
When dividing 95 by 90, we get 1 with a remainder of 5.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 90 from 95 and we're left with 5.
Bring next digit (8) of the dividend behind the 5 and repeat the process: 58 / 90

Let's proceed to step 3:
90 can be fit into 58 0 times, resulting in a remainder of 58.
Put 0 as the next digit of the answer. 
Result so far: 10.0
If we subtract 0 from 58, we get 58.
Include the next digit (8) from the dividend after 58, then repeat: 588 / 90

On to step 4:
588 divided by 90 is 6 with a remainder of 48.
The number 6 becomes the next digit in our result. 
Result so far: 106.0
Deduct 540 from 588 and we're left with 48.
Take the next digit (8) from the dividend and append it to 48, then repeat: 488 / 90

Step 5:
If we divide 488 by 90, we get 5 and a remainder of 38.
Use 5 as the next digit of our solution. 
Result so far: 1065.0
Subtract 450 from 488 to get 38.
Take the next digit (2) from the dividend and append it to 38, then repeat: 382 / 90

Going ahead to step 6:
When dividing 382 by 90, we get 4 with a remainder of 22.
Record the quotient 4 as the next digit in the result. 
Result so far: 10654.0
Subtracting 360 from 382 leaves us with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Going ahead to step 7:
When dividing 220 by 90, we get 2 with a remainder of 40.
The number 2 becomes the next digit in our result. 
Result so far: 10654.2
Deduct 180 from 220 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 8:
90 goes into 400 4 times with a remainder of 40.
Write down 4 as next digit of the result. 
Result so far: 10654.24
If we take 360 away from 400, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 9:
When dividing 400 by 90, we get 4 with a remainder of 40.
The next digit of our result is 4. 
Result so far: 10654.244
The remainder is 40 after subtracting 360 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

The final outcome is 10654.244, with a leftover of 0.004.