We're dividing 434557 by 90 
We want to divide 434557 by 90.

Moving on to step 1:
4 divided by 90 is 0 with a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Fetch the next digit (3) from the dividend, attach it to 4 and continue: 43 / 90

Advancing to step 2:
90 can be fit into 43 0 times, resulting in a remainder of 43.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 43 leaves us with 43.
Append the next digit (4) from the dividend to 43 and continue with: 434 / 90

Moving on to step 3:
434 divided by 90 is 4 with a remainder of 74.
Use 4 as the next digit of our solution. 
Result so far: 4.0
Subtract 360 from 434 to get 74.
Take the next digit (5) from the dividend and append it to 74, then repeat: 745 / 90

Let's proceed to step 4:
745 divided by 90 is 8 with a remainder of 25.
Put 8 as the next digit of the answer. 
Result so far: 48.0
The remainder is 25 after subtracting 720 from 745.
Fetch the next digit (5) from the dividend, attach it to 25 and continue: 255 / 90

Advancing to step 5:
90 goes into 255 2 times with a remainder of 75.
Put 2 as the next digit of the answer. 
Result so far: 482.0
Deduct 180 from 255 and we're left with 75.
Take the next digit (7) from the dividend and append it to 75, then repeat: 757 / 90

On to step 6:
The number 90 fits into 757 8 times, leaving a remainder of 37.
The next digit of our result is 8. 
Result so far: 4828.0
If we take 720 away from 757, we end up with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

On to step 7:
90 goes into 370 4 times with a remainder of 10.
Write down 4 as next digit of the result. 
Result so far: 4828.4
Subtract 360 from 370 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 8:
The number 90 fits into 100 1 times, leaving a remainder of 10.
Record the quotient 1 as the next digit in the result. 
Result so far: 4828.41
Subtracting 90 from 100 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 9:
100 divided by 90 is 1 with a remainder of 10.
The next digit of our result is 1. 
Result so far: 4828.411
If we take 90 away from 100, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The quotient of the division is 4828.411, and the remainder is 0.001.