488374 ÷ 75 
We're looking to find how many times 75 goes into 488374.

Moving on to step 1:
75 goes into 4 0 times with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Include the next digit (8) from the dividend after 4, then repeat: 48 / 75

Going ahead to step 2:
75 goes into 48 0 times with a remainder of 48.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 48, we end up with 48.
Fetch the next digit (8) from the dividend, attach it to 48 and continue: 488 / 75

Moving on to step 3:
When dividing 488 by 75, we get 6 with a remainder of 38.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
Subtract 450 from 488 to get 38.
Append the next digit (3) from the dividend to 38 and continue with: 383 / 75

Let's proceed to step 4:
If we divide 383 by 75, we get 5 and a remainder of 8.
The next digit of our result is 5. 
Result so far: 65.0
If we subtract 375 from 383, we get 8.
Take the next digit (7) from the dividend and append it to 8, then repeat: 87 / 75

Going ahead to step 5:
The number 75 fits into 87 1 times, leaving a remainder of 12.
Use 1 as the next digit of our solution. 
Result so far: 651.0
If we subtract 75 from 87, we get 12.
Bring next digit (4) of the dividend behind the 12 and repeat the process: 124 / 75

On to step 6:
124 divided by 75 is 1 with a remainder of 49.
Write down 1 as next digit of the result. 
Result so far: 6511.0
If we take 75 away from 124, we end up with 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Let's proceed to step 7:
490 divided by 75 is 6 with a remainder of 40.
Write down 6 as next digit of the result. 
Result so far: 6511.6
Subtracting 450 from 490 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 8:
If we divide 400 by 75, we get 5 and a remainder of 25.
Put 5 as the next digit of the answer. 
Result so far: 6511.65
Deduct 375 from 400 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.

On to step 9:
When dividing 250 by 75, we get 3 with a remainder of 25.
Use 3 as the next digit of our solution. 
Result so far: 6511.653
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.

Step 10:
If we divide 250 by 75, we get 3 and a remainder of 25.
Use 3 as the next digit of our solution. 
Result so far: 6511.6533
If we take 225 away from 250, 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.

Our division results in 6511.6533 with a remaining 0.00025.