We look at the division of 478591 by 90 
We want to divide 478591 by 90.

Moving on to step 1:
The number 90 fits into 4 0 times, leaving a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Take the next digit (7) from the dividend and append it to 4, then repeat: 47 / 90

Moving on to step 2:
90 goes into 47 0 times with a remainder of 47.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 47 and we're left with 47.
Fetch the next digit (8) from the dividend, attach it to 47 and continue: 478 / 90

Advancing to step 3:
When dividing 478 by 90, we get 5 with a remainder of 28.
Write down 5 as next digit of the result. 
Result so far: 5.0
Deduct 450 from 478 and we're left with 28.
Fetch the next digit (5) from the dividend, attach it to 28 and continue: 285 / 90

Advancing to step 4:
285 divided by 90 is 3 with a remainder of 15.
The number 3 becomes the next digit in our result. 
Result so far: 53.0
The remainder is 15 after subtracting 270 from 285.
Append the next digit (9) from the dividend to 15 and continue with: 159 / 90

On to step 5:
90 goes into 159 1 times with a remainder of 69.
Use 1 as the next digit of our solution. 
Result so far: 531.0
If we take 90 away from 159, we end up with 69.
Include the next digit (1) from the dividend after 69, then repeat: 691 / 90

Going ahead to step 6:
When dividing 691 by 90, we get 7 with a remainder of 61.
Put 7 as the next digit of the answer. 
Result so far: 5317.0
If we subtract 630 from 691, we get 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

On to step 7:
When dividing 610 by 90, we get 6 with a remainder of 70.
The next digit of our result is 6. 
Result so far: 5317.6
The remainder is 70 after subtracting 540 from 610.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

On to step 8:
If we divide 700 by 90, we get 7 and a remainder of 70.
Use 7 as the next digit of our solution. 
Result so far: 5317.67
Deduct 630 from 700 and we're left with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Advancing to step 9:
If we divide 700 by 90, we get 7 and a remainder of 70.
Use 7 as the next digit of our solution. 
Result so far: 5317.677
If we subtract 630 from 700, we get 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

The quotient of the division is 5317.677, and the remainder is 0.007.