We're dividing 430724 by 45 
Let's see how many times 45 fits into 430724.

Step 1:
If we divide 4 by 45, we get 0 and a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Include the next digit (3) from the dividend after 4, then repeat: 43 / 45

Advancing to step 2:
45 goes into 43 0 times with a remainder of 43.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 43 after subtracting 0 from 43.
Append the next digit (0) from the dividend to 43 and continue with: 430 / 45

Moving on to step 3:
When dividing 430 by 45, we get 9 with a remainder of 25.
The next digit of our result is 9. 
Result so far: 9.0
Deduct 405 from 430 and we're left with 25.
Fetch the next digit (7) from the dividend, attach it to 25 and continue: 257 / 45

Step 4:
257 divided by 45 is 5 with a remainder of 32.
Use 5 as the next digit of our solution. 
Result so far: 95.0
Subtract 225 from 257 to get 32.
Take the next digit (2) from the dividend and append it to 32, then repeat: 322 / 45

On to step 5:
The number 45 fits into 322 7 times, leaving a remainder of 7.
Put 7 as the next digit of the answer. 
Result so far: 957.0
The remainder is 7 after subtracting 315 from 322.
Take the next digit (4) from the dividend and append it to 7, then repeat: 74 / 45

Moving on to step 6:
When dividing 74 by 45, we get 1 with a remainder of 29.
The next digit of our result is 1. 
Result so far: 9571.0
Subtract 45 from 74 to get 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

On to step 7:
When dividing 290 by 45, we get 6 with a remainder of 20.
Use 6 as the next digit of our solution. 
Result so far: 9571.6
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.

On to step 8:
When dividing 200 by 45, we get 4 with a remainder of 20.
Write down 4 as next digit of the result. 
Result so far: 9571.64
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.

Let's proceed to step 9:
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: 9571.644
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.

The final outcome is 9571.644, with a leftover of 0.002.