We look at the division of 433001 by 87 
We want to divide 433001 by 87.

Moving on to step 1:
4 divided by 87 is 0 with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Include the next digit (3) from the dividend after 4, then repeat: 43 / 87

Advancing to step 2:
The number 87 fits into 43 0 times, leaving a remainder of 43.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 43, we end up with 43.
Include the next digit (3) from the dividend after 43, then repeat: 433 / 87

Advancing to step 3:
When dividing 433 by 87, we get 4 with a remainder of 85.
The next digit of our result is 4. 
Result so far: 4.0
Subtracting 348 from 433 leaves us with 85.
Append the next digit (0) from the dividend to 85 and continue with: 850 / 87

Going ahead to step 4:
The number 87 fits into 850 9 times, leaving a remainder of 67.
Write down 9 as next digit of the result. 
Result so far: 49.0
The remainder is 67 after subtracting 783 from 850.
Append the next digit (0) from the dividend to 67 and continue with: 670 / 87

On to step 5:
When dividing 670 by 87, we get 7 with a remainder of 61.
Use 7 as the next digit of our solution. 
Result so far: 497.0
The remainder is 61 after subtracting 609 from 670.
Grab the next digit (1) from the dividend, add it to 61, then carry on: 611 / 87

On to step 6:
611 divided by 87 is 7 with a remainder of 2.
Use 7 as the next digit of our solution. 
Result so far: 4977.0
If we take 609 away from 611, we end up 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.

Step 7:
When dividing 20 by 87, we get 0 with a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 4977.0
The remainder is 20 after subtracting 0 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 8:
The number 87 fits into 200 2 times, leaving a remainder of 26.
Put 2 as the next digit of the answer. 
Result so far: 4977.02
Subtract 174 from 200 to get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Step 9:
When dividing 260 by 87, we get 2 with a remainder of 86.
The number 2 becomes the next digit in our result. 
Result so far: 4977.022
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 4977.022, with a leftover of 0.0086.