We look at the division of 432741 by 88 
We want to divide 432741 by 88.

Advancing to step 1:
If we divide 4 by 88, we get 0 and a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Append the next digit (3) from the dividend to 4 and continue with: 43 / 88

Going ahead to step 2:
43 divided by 88 is 0 with a remainder of 43.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 43 after subtracting 0 from 43.
Grab the next digit (2) from the dividend, add it to 43, then carry on: 432 / 88

Step 3:
432 divided by 88 is 4 with a remainder of 80.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
Subtract 352 from 432 to get 80.
Grab the next digit (7) from the dividend, add it to 80, then carry on: 807 / 88

On to step 4:
807 divided by 88 is 9 with a remainder of 15.
Record the quotient 9 as the next digit in the result. 
Result so far: 49.0
If we take 792 away from 807, we end up with 15.
Take the next digit (4) from the dividend and append it to 15, then repeat: 154 / 88

Step 5:
88 can be fit into 154 1 times, resulting in a remainder of 66.
The next digit of our result is 1. 
Result so far: 491.0
If we take 88 away from 154, we end up with 66.
Take the next digit (1) from the dividend and append it to 66, then repeat: 661 / 88

On to step 6:
88 can be fit into 661 7 times, resulting in a remainder of 45.
Record the quotient 7 as the next digit in the result. 
Result so far: 4917.0
Subtract 616 from 661 to get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Moving on to step 7:
450 divided by 88 is 5 with a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 4917.5
If we subtract 440 from 450, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 8:
When dividing 100 by 88, we get 1 with a remainder of 12.
The next digit of our result is 1. 
Result so far: 4917.51
The remainder is 12 after subtracting 88 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 9:
88 goes into 120 1 times with a remainder of 32.
Put 1 as the next digit of the answer. 
Result so far: 4917.511
Subtract 88 from 120 to get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

In conclusion, the division gives 4917.511 with a balance of 0.0032.