We look at the division of 225829 by 45 
We want to figure out the number of times 225829 can be divided by 45.

Advancing to step 1:
45 goes into 2 0 times with a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 2, we end up with 2.
Grab the next digit (2) from the dividend, add it to 2, then carry on: 22 / 45

Advancing to step 2:
If we divide 22 by 45, we get 0 and a remainder of 22.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 22, we get 22.
Append the next digit (5) from the dividend to 22 and continue with: 225 / 45

Step 3:
If we divide 225 by 45, we get 5 and a remainder of 0.
Write down 5 as next digit of the result. 
Result so far: 5.0
Subtracting 225 from 225 leaves us with 0.
Bring next digit (8) of the dividend behind the 0 and repeat the process: 8 / 45

Going ahead to step 4:
The number 45 fits into 8 0 times, leaving a remainder of 8.
The next digit of our result is 0. 
Result so far: 50.0
The remainder is 8 after subtracting 0 from 8.
Append the next digit (2) from the dividend to 8 and continue with: 82 / 45

Advancing to step 5:
If we divide 82 by 45, we get 1 and a remainder of 37.
Put 1 as the next digit of the answer. 
Result so far: 501.0
If we subtract 45 from 82, we get 37.
Append the next digit (9) from the dividend to 37 and continue with: 379 / 45

On to step 6:
45 goes into 379 8 times with a remainder of 19.
Use 8 as the next digit of our solution. 
Result so far: 5018.0
If we take 360 away from 379, we end up with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Advancing to step 7:
190 divided by 45 is 4 with a remainder of 10.
Record the quotient 4 as the next digit in the result. 
Result so far: 5018.4
Deduct 180 from 190 and we're left 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.

Let's proceed to step 8:
100 divided by 45 is 2 with a remainder of 10.
The number 2 becomes the next digit in our result. 
Result so far: 5018.42
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.

Let's proceed to step 9:
If we divide 100 by 45, we get 2 and a remainder of 10.
The next digit of our result is 2. 
Result so far: 5018.422
Deduct 90 from 100 and we're left 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 final outcome is 5018.422, with a leftover of 0.001.