We look at the division of 476099 by 90 
Let's see how many times 90 fits into 476099.

Advancing to step 1:
4 divided by 90 is 0 with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Take the next digit (7) from the dividend and append it to 4, then repeat: 47 / 90

Going ahead to step 2:
When dividing 47 by 90, we get 0 with a remainder of 47.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 47, we get 47.
Append the next digit (6) from the dividend to 47 and continue with: 476 / 90

Moving on to step 3:
The number 90 fits into 476 5 times, leaving a remainder of 26.
Write down 5 as next digit of the result. 
Result so far: 5.0
If we subtract 450 from 476, we get 26.
Bring next digit (0) of the dividend behind the 26 and repeat the process: 260 / 90

Let's proceed to step 4:
The number 90 fits into 260 2 times, leaving a remainder of 80.
Record the quotient 2 as the next digit in the result. 
Result so far: 52.0
Subtracting 180 from 260 leaves us with 80.
Include the next digit (9) from the dividend after 80, then repeat: 809 / 90

Step 5:
If we divide 809 by 90, we get 8 and a remainder of 89.
Write down 8 as next digit of the result. 
Result so far: 528.0
If we take 720 away from 809, we end up with 89.
Append the next digit (9) from the dividend to 89 and continue with: 899 / 90

On to step 6:
If we divide 899 by 90, we get 9 and a remainder of 89.
Use 9 as the next digit of our solution. 
Result so far: 5289.0
The remainder is 89 after subtracting 810 from 899.
Since there are no more digits in the dividend, we add a zero to the remainder making it 890, and continue the process.

Going ahead to step 7:
90 can be fit into 890 9 times, resulting in a remainder of 80.
Use 9 as the next digit of our solution. 
Result so far: 5289.9
Deduct 810 from 890 and we're left with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Let's proceed to step 8:
When dividing 800 by 90, we get 8 with a remainder of 80.
The number 8 becomes the next digit in our result. 
Result so far: 5289.98
Subtracting 720 from 800 leaves us with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Step 9:
90 can be fit into 800 8 times, resulting in a remainder of 80.
The number 8 becomes the next digit in our result. 
Result so far: 5289.988
If we subtract 720 from 800, we get 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

The quotient of the division is 5289.988, and the remainder is 0.008.