We look at the division of 487642 by 75 
We want to figure out the number of times 487642 can be divided by 75.

Going ahead to step 1:
The number 75 fits into 4 0 times, leaving a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Bring next digit (8) of the dividend behind the 4 and repeat the process: 48 / 75

Going ahead to step 2:
If we divide 48 by 75, we get 0 and a remainder of 48.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 48 after subtracting 0 from 48.
Include the next digit (7) from the dividend after 48, then repeat: 487 / 75

Advancing to step 3:
487 divided by 75 is 6 with a remainder of 37.
Put 6 as the next digit of the answer. 
Result so far: 6.0
Deduct 450 from 487 and we're left with 37.
Fetch the next digit (6) from the dividend, attach it to 37 and continue: 376 / 75

Let's proceed to step 4:
When dividing 376 by 75, we get 5 with a remainder of 1.
Put 5 as the next digit of the answer. 
Result so far: 65.0
If we take 375 away from 376, we end up with 1.
Include the next digit (4) from the dividend after 1, then repeat: 14 / 75

Moving on to step 5:
When dividing 14 by 75, we get 0 with a remainder of 14.
The number 0 becomes the next digit in our result. 
Result so far: 650.0
The remainder is 14 after subtracting 0 from 14.
Include the next digit (2) from the dividend after 14, then repeat: 142 / 75

Advancing to step 6:
If we divide 142 by 75, we get 1 and a remainder of 67.
Write down 1 as next digit of the result. 
Result so far: 6501.0
Deduct 75 from 142 and we're left with 67.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

Moving on to step 7:
The number 75 fits into 670 8 times, leaving a remainder of 70.
Use 8 as the next digit of our solution. 
Result so far: 6501.8
If we subtract 600 from 670, we get 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:
700 divided by 75 is 9 with a remainder of 25.
Put 9 as the next digit of the answer. 
Result so far: 6501.89
If we take 675 away from 700, we end up 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.

Step 9:
If we divide 250 by 75, we get 3 and a remainder of 25.
The next digit of our result is 3. 
Result so far: 6501.893
Deduct 225 from 250 and we're left 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.

Going ahead to step 10:
250 divided by 75 is 3 with a remainder of 25.
Record the quotient 3 as the next digit in the result. 
Result so far: 6501.8933
Subtracting 225 from 250 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.

The quotient of the division is 6501.8933, and the remainder is 0.00025.