We look at the division of 43609 by 45 
We're looking to find how many times 45 goes into 43609.

Let's proceed to step 1:
The number 45 fits into 4 0 times, leaving 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.
Grab the next digit (3) from the dividend, add it to 4, then carry on: 43 / 45

Moving on to step 2:
43 divided by 45 is 0 with a remainder of 43.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 43, we end up with 43.
Grab the next digit (6) from the dividend, add it to 43, then carry on: 436 / 45

Moving on to step 3:
436 divided by 45 is 9 with a remainder of 31.
Write down 9 as next digit of the result. 
Result so far: 9.0
Deduct 405 from 436 and we're left with 31.
Bring next digit (0) of the dividend behind the 31 and repeat the process: 310 / 45

On to step 4:
The number 45 fits into 310 6 times, leaving a remainder of 40.
The next digit of our result is 6. 
Result so far: 96.0
If we subtract 270 from 310, we get 40.
Grab the next digit (9) from the dividend, add it to 40, then carry on: 409 / 45

Advancing to step 5:
409 divided by 45 is 9 with a remainder of 4.
Put 9 as the next digit of the answer. 
Result so far: 969.0
The remainder is 4 after subtracting 405 from 409.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 6:
40 divided by 45 is 0 with a remainder of 40.
Put 0 as the next digit of the answer. 
Result so far: 969.0
Subtract 0 from 40 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 7:
45 can be fit into 400 8 times, resulting in a remainder of 40.
The number 8 becomes the next digit in our result. 
Result so far: 969.08
Subtract 360 from 400 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Moving on to step 8:
45 goes into 400 8 times with a remainder of 40.
Record the quotient 8 as the next digit in the result. 
Result so far: 969.088
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.

In conclusion, the division gives 969.088 with a balance of 0.004.