We're dividing 355182 by 90 
We want to figure out the number of times 355182 can be divided by 90.

On to step 1:
If we divide 3 by 90, we get 0 and a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Bring next digit (5) of the dividend behind the 3 and repeat the process: 35 / 90

Going ahead to step 2:
35 divided by 90 is 0 with a remainder of 35.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 35, we end up with 35.
Bring next digit (5) of the dividend behind the 35 and repeat the process: 355 / 90

Going ahead to step 3:
90 can be fit into 355 3 times, resulting in a remainder of 85.
Use 3 as the next digit of our solution. 
Result so far: 3.0
If we take 270 away from 355, we end up with 85.
Append the next digit (1) from the dividend to 85 and continue with: 851 / 90

Step 4:
90 can be fit into 851 9 times, resulting in a remainder of 41.
The number 9 becomes the next digit in our result. 
Result so far: 39.0
Subtracting 810 from 851 leaves us with 41.
Include the next digit (8) from the dividend after 41, then repeat: 418 / 90

Step 5:
When dividing 418 by 90, we get 4 with a remainder of 58.
Use 4 as the next digit of our solution. 
Result so far: 394.0
If we take 360 away from 418, we end up with 58.
Include the next digit (2) from the dividend after 58, then repeat: 582 / 90

Step 6:
90 can be fit into 582 6 times, resulting in a remainder of 42.
Write down 6 as next digit of the result. 
Result so far: 3946.0
If we subtract 540 from 582, we get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Let's proceed to step 7:
90 goes into 420 4 times with a remainder of 60.
The number 4 becomes the next digit in our result. 
Result so far: 3946.4
Subtracting 360 from 420 leaves us with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Advancing to step 8:
90 goes into 600 6 times with a remainder of 60.
Use 6 as the next digit of our solution. 
Result so far: 3946.46
Deduct 540 from 600 and we're left with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Advancing to step 9:
When dividing 600 by 90, we get 6 with a remainder of 60.
Record the quotient 6 as the next digit in the result. 
Result so far: 3946.466
The remainder is 60 after subtracting 540 from 600.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

After the division, we end up with 3946.466 and a remainder of 0.006.