Let's divide 430351 by 88
We're looking to find how many times 88 goes into 430351.

Advancing to step 1:
When dividing 4 by 88, we get 0 with a remainder of 4.
Use 0 as the next digit of our solution. 
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 / 88

Moving on to step 2:
When dividing 43 by 88, we get 0 with a remainder of 43.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 43, we get 43.
Append the next digit (0) from the dividend to 43 and continue with: 430 / 88

Advancing to step 3:
88 can be fit into 430 4 times, resulting in a remainder of 78.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
The remainder is 78 after subtracting 352 from 430.
Append the next digit (3) from the dividend to 78 and continue with: 783 / 88

Advancing to step 4:
88 can be fit into 783 8 times, resulting in a remainder of 79.
The number 8 becomes the next digit in our result. 
Result so far: 48.0
If we subtract 704 from 783, we get 79.
Append the next digit (5) from the dividend to 79 and continue with: 795 / 88

Step 5:
88 goes into 795 9 times with a remainder of 3.
The next digit of our result is 9. 
Result so far: 489.0
Subtracting 792 from 795 leaves us with 3.
Bring next digit (1) of the dividend behind the 3 and repeat the process: 31 / 88

On to step 6:
The number 88 fits into 31 0 times, leaving a remainder of 31.
The next digit of our result is 0. 
Result so far: 4890.0
Subtracting 0 from 31 leaves us with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Going ahead to step 7:
88 can be fit into 310 3 times, resulting in a remainder of 46.
Put 3 as the next digit of the answer. 
Result so far: 4890.3
The remainder is 46 after subtracting 264 from 310.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Moving on to step 8:
When dividing 460 by 88, we get 5 with a remainder of 20.
Put 5 as the next digit of the answer. 
Result so far: 4890.35
Subtracting 440 from 460 leaves us 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 9:
When dividing 200 by 88, we get 2 with a remainder of 24.
The next digit of our result is 2. 
Result so far: 4890.352
If we subtract 176 from 200, 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.

Going ahead to step 10:
When dividing 240 by 88, we get 2 with a remainder of 64.
Write down 2 as next digit of the result. 
Result so far: 4890.3522
If we take 176 away from 240, we end up with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

The final result is 4890.3522 with a remainder of 0.00064.