560469 ÷ 90 
Our goal is to divide 560469 by 90.

Let's proceed to step 1:
5 divided by 90 is 0 with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Grab the next digit (6) from the dividend, add it to 5, then carry on: 56 / 90

Moving on to step 2:
90 goes into 56 0 times with a remainder of 56.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 56, we end up with 56.
Bring next digit (0) of the dividend behind the 56 and repeat the process: 560 / 90

Advancing to step 3:
If we divide 560 by 90, we get 6 and a remainder of 20.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
Deduct 540 from 560 and we're left with 20.
Grab the next digit (4) from the dividend, add it to 20, then carry on: 204 / 90

Advancing to step 4:
The number 90 fits into 204 2 times, leaving a remainder of 24.
Put 2 as the next digit of the answer. 
Result so far: 62.0
If we take 180 away from 204, we end up with 24.
Append the next digit (6) from the dividend to 24 and continue with: 246 / 90

Moving on to step 5:
The number 90 fits into 246 2 times, leaving a remainder of 66.
Put 2 as the next digit of the answer. 
Result so far: 622.0
Subtracting 180 from 246 leaves us with 66.
Append the next digit (9) from the dividend to 66 and continue with: 669 / 90

Let's proceed to step 6:
90 goes into 669 7 times with a remainder of 39.
Use 7 as the next digit of our solution. 
Result so far: 6227.0
Subtracting 630 from 669 leaves us with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

On to step 7:
90 goes into 390 4 times with a remainder of 30.
Record the quotient 4 as the next digit in the result. 
Result so far: 6227.4
Subtract 360 from 390 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 8:
If we divide 300 by 90, we get 3 and a remainder of 30.
Write down 3 as next digit of the result. 
Result so far: 6227.43
If we subtract 270 from 300, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 9:
The number 90 fits into 300 3 times, leaving a remainder of 30.
Write down 3 as next digit of the result. 
Result so far: 6227.433
Deduct 270 from 300 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

The final outcome is 6227.433, with a leftover of 0.003.