430113 ÷ 87 
We want to divide 430113 by 87.

Step 1:
When dividing 4 by 87, we get 0 with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Append the next digit (3) from the dividend to 4 and continue with: 43 / 87

Going ahead to step 2:
87 goes into 43 0 times with a remainder of 43.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 43 and we're left with 43.
Fetch the next digit (0) from the dividend, attach it to 43 and continue: 430 / 87

Step 3:
The number 87 fits into 430 4 times, leaving a remainder of 82.
Write down 4 as next digit of the result. 
Result so far: 4.0
Subtract 348 from 430 to get 82.
Include the next digit (1) from the dividend after 82, then repeat: 821 / 87

Going ahead to step 4:
821 divided by 87 is 9 with a remainder of 38.
Write down 9 as next digit of the result. 
Result so far: 49.0
If we take 783 away from 821, we end up with 38.
Take the next digit (1) from the dividend and append it to 38, then repeat: 381 / 87

Going ahead to step 5:
The number 87 fits into 381 4 times, leaving a remainder of 33.
Use 4 as the next digit of our solution. 
Result so far: 494.0
The remainder is 33 after subtracting 348 from 381.
Append the next digit (3) from the dividend to 33 and continue with: 333 / 87

Moving on to step 6:
87 can be fit into 333 3 times, resulting in a remainder of 72.
The number 3 becomes the next digit in our result. 
Result so far: 4943.0
If we take 261 away from 333, we end up with 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Let's proceed to step 7:
If we divide 720 by 87, we get 8 and a remainder of 24.
Put 8 as the next digit of the answer. 
Result so far: 4943.8
Subtracting 696 from 720 leaves us with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Advancing to step 8:
87 goes into 240 2 times with a remainder of 66.
The number 2 becomes the next digit in our result. 
Result so far: 4943.82
If we take 174 away from 240, we end up with 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Moving on to step 9:
87 can be fit into 660 7 times, resulting in a remainder of 51.
Use 7 as the next digit of our solution. 
Result so far: 4943.827
If we subtract 609 from 660, we get 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

Let's proceed to step 10:
510 divided by 87 is 5 with a remainder of 75.
The next digit of our result is 5. 
Result so far: 4943.8275
Subtract 435 from 510 to get 75.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

Step 11:
87 goes into 750 8 times with a remainder of 54.
The number 8 becomes the next digit in our result. 
Result so far: 4943.82758
Deduct 696 from 750 and we're left with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Let's proceed to step 12:
540 divided by 87 is 6 with a remainder of 18.
The next digit of our result is 6. 
Result so far: 4943.827586
If we subtract 522 from 540, we get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Let's proceed to step 13:
87 goes into 180 2 times with a remainder of 6.
The next digit of our result is 2. 
Result so far: 4943.8275862
Deduct 174 from 180 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 14:
87 goes into 60 0 times with a remainder of 60.
Put 0 as the next digit of the answer. 
Result so far: 4943.8275862
The remainder is 60 after subtracting 0 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

The final outcome is 4943.8275862, with a leftover of 6e-08.