We look at the division of 430589 by 45 
Our goal is to divide 430589 by 45.

Going ahead to step 1:
4 divided by 45 is 0 with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Bring next digit (3) of the dividend behind the 4 and repeat the process: 43 / 45

Going ahead to step 2:
45 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 (0) from the dividend to 43 and continue with: 430 / 45

Step 3:
430 divided by 45 is 9 with a remainder of 25.
The next digit of our result is 9. 
Result so far: 9.0
If we take 405 away from 430, we end up with 25.
Grab the next digit (5) from the dividend, add it to 25, then carry on: 255 / 45

Moving on to step 4:
45 goes into 255 5 times with a remainder of 30.
Write down 5 as next digit of the result. 
Result so far: 95.0
The remainder is 30 after subtracting 225 from 255.
Take the next digit (8) from the dividend and append it to 30, then repeat: 308 / 45

Going ahead to step 5:
308 divided by 45 is 6 with a remainder of 38.
The next digit of our result is 6. 
Result so far: 956.0
If we take 270 away from 308, we end up with 38.
Include the next digit (9) from the dividend after 38, then repeat: 389 / 45

On to step 6:
If we divide 389 by 45, we get 8 and a remainder of 29.
Use 8 as the next digit of our solution. 
Result so far: 9568.0
Deduct 360 from 389 and we're left with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Moving on to step 7:
The number 45 fits into 290 6 times, leaving a remainder of 20.
The next digit of our result is 6. 
Result so far: 9568.6
Deduct 270 from 290 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 8:
If we divide 200 by 45, we get 4 and a remainder of 20.
Write down 4 as next digit of the result. 
Result so far: 9568.64
Deduct 180 from 200 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 9:
45 can be fit into 200 4 times, resulting in a remainder of 20.
The next digit of our result is 4. 
Result so far: 9568.644
Subtract 180 from 200 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

In conclusion, the division gives 9568.644 with a balance of 0.002.