432218 divided by 75 
Our goal is to divide 432218 by 75.

Going ahead to step 1:
4 divided by 75 is 0 with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Append the next digit (3) from the dividend to 4 and continue with: 43 / 75

Moving on to step 2:
If we divide 43 by 75, we get 0 and a remainder of 43.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 43, we end up with 43.
Take the next digit (2) from the dividend and append it to 43, then repeat: 432 / 75

Going ahead to step 3:
The number 75 fits into 432 5 times, leaving a remainder of 57.
Use 5 as the next digit of our solution. 
Result so far: 5.0
If we subtract 375 from 432, we get 57.
Append the next digit (2) from the dividend to 57 and continue with: 572 / 75

Going ahead to step 4:
When dividing 572 by 75, we get 7 with a remainder of 47.
Use 7 as the next digit of our solution. 
Result so far: 57.0
Deduct 525 from 572 and we're left with 47.
Take the next digit (1) from the dividend and append it to 47, then repeat: 471 / 75

On to step 5:
75 goes into 471 6 times with a remainder of 21.
Use 6 as the next digit of our solution. 
Result so far: 576.0
The remainder is 21 after subtracting 450 from 471.
Include the next digit (8) from the dividend after 21, then repeat: 218 / 75

Moving on to step 6:
218 divided by 75 is 2 with a remainder of 68.
Record the quotient 2 as the next digit in the result. 
Result so far: 5762.0
Subtracting 150 from 218 leaves us with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Step 7:
680 divided by 75 is 9 with a remainder of 5.
Record the quotient 9 as the next digit in the result. 
Result so far: 5762.9
Deduct 675 from 680 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 8:
If we divide 50 by 75, we get 0 and a remainder of 50.
Write down 0 as next digit of the result. 
Result so far: 5762.9
If we take 0 away from 50, we end up with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Let's proceed to step 9:
If we divide 500 by 75, we get 6 and a remainder of 50.
Use 6 as the next digit of our solution. 
Result so far: 5762.906
Deduct 450 from 500 and we're left with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

On to step 10:
500 divided by 75 is 6 with a remainder of 50.
Put 6 as the next digit of the answer. 
Result so far: 5762.9066
Subtract 450 from 500 to get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

After the division, we end up with 5762.9066 and a remainder of 0.0005.