We divide 40434 by 88
We want to figure out the number of times 40434 can be divided by 88.

Step 1:
88 goes into 4 0 times with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Bring next digit (0) of the dividend behind the 4 and repeat the process: 40 / 88

Going ahead to step 2:
40 divided by 88 is 0 with a remainder of 40.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 40 after subtracting 0 from 40.
Include the next digit (4) from the dividend after 40, then repeat: 404 / 88

Going ahead to step 3:
88 can be fit into 404 4 times, resulting in a remainder of 52.
The next digit of our result is 4. 
Result so far: 4.0
If we take 352 away from 404, we end up with 52.
Grab the next digit (3) from the dividend, add it to 52, then carry on: 523 / 88

Advancing to step 4:
The number 88 fits into 523 5 times, leaving a remainder of 83.
Use 5 as the next digit of our solution. 
Result so far: 45.0
The remainder is 83 after subtracting 440 from 523.
Fetch the next digit (4) from the dividend, attach it to 83 and continue: 834 / 88

Let's proceed to step 5:
The number 88 fits into 834 9 times, leaving a remainder of 42.
The next digit of our result is 9. 
Result so far: 459.0
The remainder is 42 after subtracting 792 from 834.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Let's proceed to step 6:
When dividing 420 by 88, we get 4 with a remainder of 68.
Put 4 as the next digit of the answer. 
Result so far: 459.4
Subtract 352 from 420 to get 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Going ahead to step 7:
The number 88 fits into 680 7 times, leaving a remainder of 64.
Put 7 as the next digit of the answer. 
Result so far: 459.47
The remainder is 64 after subtracting 616 from 680.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Advancing to step 8:
640 divided by 88 is 7 with a remainder of 24.
Write down 7 as next digit of the result. 
Result so far: 459.477
If we subtract 616 from 640, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

After the division, we end up with 459.477 and a remainder of 0.0024.