We're dividing 433688 by 87 
We're looking to find how many times 87 goes into 433688.

Moving on to step 1:
If we divide 4 by 87, we get 0 and a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Append the next digit (3) from the dividend to 4 and continue with: 43 / 87

Let's proceed to step 2:
When dividing 43 by 87, we get 0 with a remainder of 43.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 43, we get 43.
Include the next digit (3) from the dividend after 43, then repeat: 433 / 87

Going ahead to step 3:
433 divided by 87 is 4 with a remainder of 85.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
Deduct 348 from 433 and we're left with 85.
Take the next digit (6) from the dividend and append it to 85, then repeat: 856 / 87

Step 4:
87 goes into 856 9 times with a remainder of 73.
Write down 9 as next digit of the result. 
Result so far: 49.0
If we subtract 783 from 856, we get 73.
Include the next digit (8) from the dividend after 73, then repeat: 738 / 87

Advancing to step 5:
When dividing 738 by 87, we get 8 with a remainder of 42.
Use 8 as the next digit of our solution. 
Result so far: 498.0
The remainder is 42 after subtracting 696 from 738.
Append the next digit (8) from the dividend to 42 and continue with: 428 / 87

Going ahead to step 6:
87 goes into 428 4 times with a remainder of 80.
The number 4 becomes the next digit in our result. 
Result so far: 4984.0
If we subtract 348 from 428, we get 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Let's proceed to step 7:
The number 87 fits into 800 9 times, leaving a remainder of 17.
The number 9 becomes the next digit in our result. 
Result so far: 4984.9
If we subtract 783 from 800, we get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Advancing to step 8:
87 can be fit into 170 1 times, resulting in a remainder of 83.
The number 1 becomes the next digit in our result. 
Result so far: 4984.91
Subtract 87 from 170 to get 83.
Since there are no more digits in the dividend, we add a zero to the remainder making it 830, and continue the process.

Going ahead to step 9:
If we divide 830 by 87, we get 9 and a remainder of 47.
Use 9 as the next digit of our solution. 
Result so far: 4984.919
Subtracting 783 from 830 leaves us with 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Advancing to step 10:
87 goes into 470 5 times with a remainder of 35.
Record the quotient 5 as the next digit in the result. 
Result so far: 4984.9195
If we subtract 435 from 470, we get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Step 11:
87 goes into 350 4 times with a remainder of 2.
Write down 4 as next digit of the result. 
Result so far: 4984.91954
Subtracting 348 from 350 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 12:
If we divide 20 by 87, we get 0 and a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 4984.91954
Subtract 0 from 20 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 13:
87 can be fit into 200 2 times, resulting in a remainder of 26.
The number 2 becomes the next digit in our result. 
Result so far: 4984.9195402
If we take 174 away from 200, we end up with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Going ahead to step 14:
260 divided by 87 is 2 with a remainder of 86.
The number 2 becomes the next digit in our result. 
Result so far: 4984.91954022
Deduct 174 from 260 and we're left with 86.
Since there are no more digits in the dividend, we add a zero to the remainder making it 860, and continue the process.

The final outcome is 4984.91954022, with a leftover of 8.6e-08.