We look at the division of 559471 by 45 
Let's see how many times 45 fits into 559471.

Let's proceed to step 1:
45 can be fit into 5 0 times, resulting in a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Append the next digit (5) from the dividend to 5 and continue with: 55 / 45

Advancing to step 2:
The number 45 fits into 55 1 times, leaving a remainder of 10.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtracting 45 from 55 leaves us with 10.
Bring next digit (9) of the dividend behind the 10 and repeat the process: 109 / 45

Step 3:
The number 45 fits into 109 2 times, leaving a remainder of 19.
The number 2 becomes the next digit in our result. 
Result so far: 12.0
Deduct 90 from 109 and we're left with 19.
Take the next digit (4) from the dividend and append it to 19, then repeat: 194 / 45

Step 4:
When dividing 194 by 45, we get 4 with a remainder of 14.
Write down 4 as next digit of the result. 
Result so far: 124.0
Subtracting 180 from 194 leaves us with 14.
Append the next digit (7) from the dividend to 14 and continue with: 147 / 45

Going ahead to step 5:
When dividing 147 by 45, we get 3 with a remainder of 12.
Write down 3 as next digit of the result. 
Result so far: 1243.0
Subtract 135 from 147 to get 12.
Fetch the next digit (1) from the dividend, attach it to 12 and continue: 121 / 45

Moving on to step 6:
45 can be fit into 121 2 times, resulting in a remainder of 31.
The number 2 becomes the next digit in our result. 
Result so far: 12432.0
If we take 90 away from 121, we end up with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Moving on to step 7:
45 goes into 310 6 times with a remainder of 40.
Write down 6 as next digit of the result. 
Result so far: 12432.6
The remainder is 40 after subtracting 270 from 310.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 8:
400 divided by 45 is 8 with a remainder of 40.
Put 8 as the next digit of the answer. 
Result so far: 12432.68
If we take 360 away from 400, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 9:
If we divide 400 by 45, we get 8 and a remainder of 40.
The next digit of our result is 8. 
Result so far: 12432.688
Deduct 360 from 400 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

The final outcome is 12432.688, with a leftover of 0.004.