We're dividing 667432 by 75 
We're looking to find how many times 75 goes into 667432.

Step 1:
When dividing 6 by 75, we get 0 with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Include the next digit (6) from the dividend after 6, then repeat: 66 / 75

Let's proceed to step 2:
When dividing 66 by 75, we get 0 with a remainder of 66.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 66, we end up with 66.
Bring next digit (7) of the dividend behind the 66 and repeat the process: 667 / 75

Let's proceed to step 3:
75 can be fit into 667 8 times, resulting in a remainder of 67.
The next digit of our result is 8. 
Result so far: 8.0
Deduct 600 from 667 and we're left with 67.
Take the next digit (4) from the dividend and append it to 67, then repeat: 674 / 75

Let's proceed to step 4:
The number 75 fits into 674 8 times, leaving a remainder of 74.
Record the quotient 8 as the next digit in the result. 
Result so far: 88.0
Subtract 600 from 674 to get 74.
Fetch the next digit (3) from the dividend, attach it to 74 and continue: 743 / 75

Going ahead to step 5:
743 divided by 75 is 9 with a remainder of 68.
Use 9 as the next digit of our solution. 
Result so far: 889.0
The remainder is 68 after subtracting 675 from 743.
Grab the next digit (2) from the dividend, add it to 68, then carry on: 682 / 75

Advancing to step 6:
When dividing 682 by 75, we get 9 with a remainder of 7.
Put 9 as the next digit of the answer. 
Result so far: 8899.0
Deduct 675 from 682 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 7:
If we divide 70 by 75, we get 0 and a remainder of 70.
The number 0 becomes the next digit in our result. 
Result so far: 8899.0
Deduct 0 from 70 and we're left with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Step 8:
The number 75 fits into 700 9 times, leaving a remainder of 25.
Put 9 as the next digit of the answer. 
Result so far: 8899.09
Subtracting 675 from 700 leaves us with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Advancing to step 9:
The number 75 fits into 250 3 times, leaving a remainder of 25.
Record the quotient 3 as the next digit in the result. 
Result so far: 8899.093
If we subtract 225 from 250, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Advancing to step 10:
When dividing 250 by 75, we get 3 with a remainder of 25.
The next digit of our result is 3. 
Result so far: 8899.0933
The remainder is 25 after subtracting 225 from 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

The final result is 8899.0933 with a remainder of 0.00025.