556958 ÷ 90 
We want to divide 556958 by 90.

Let's proceed to step 1:
If we divide 5 by 90, we get 0 and a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Include the next digit (5) from the dividend after 5, then repeat: 55 / 90

On to step 2:
If we divide 55 by 90, we get 0 and a remainder of 55.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 55 to get 55.
Take the next digit (6) from the dividend and append it to 55, then repeat: 556 / 90

Going ahead to step 3:
When dividing 556 by 90, we get 6 with a remainder of 16.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
Subtracting 540 from 556 leaves us with 16.
Append the next digit (9) from the dividend to 16 and continue with: 169 / 90

Let's proceed to step 4:
90 can be fit into 169 1 times, resulting in a remainder of 79.
The next digit of our result is 1. 
Result so far: 61.0
If we subtract 90 from 169, we get 79.
Grab the next digit (5) from the dividend, add it to 79, then carry on: 795 / 90

Going ahead to step 5:
If we divide 795 by 90, we get 8 and a remainder of 75.
The number 8 becomes the next digit in our result. 
Result so far: 618.0
Subtracting 720 from 795 leaves us with 75.
Bring next digit (8) of the dividend behind the 75 and repeat the process: 758 / 90

Step 6:
When dividing 758 by 90, we get 8 with a remainder of 38.
Record the quotient 8 as the next digit in the result. 
Result so far: 6188.0
If we subtract 720 from 758, we get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Advancing to step 7:
380 divided by 90 is 4 with a remainder of 20.
Record the quotient 4 as the next digit in the result. 
Result so far: 6188.4
Subtract 360 from 380 to get 20.
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 8:
90 goes into 200 2 times with a remainder of 20.
The next digit of our result is 2. 
Result so far: 6188.42
If we take 180 away from 200, we end up 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.

On to step 9:
200 divided by 90 is 2 with a remainder of 20.
Write down 2 as next digit of the result. 
Result so far: 6188.422
If we take 180 away from 200, we end up 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.

The final result is 6188.422 with a remainder of 0.002.