We divide 458688 by 75
We're looking to find how many times 75 goes into 458688.

Moving on to step 1:
4 divided by 75 is 0 with a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Include the next digit (5) from the dividend after 4, then repeat: 45 / 75

Let's proceed to step 2:
75 goes into 45 0 times with a remainder of 45.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 45 leaves us with 45.
Take the next digit (8) from the dividend and append it to 45, then repeat: 458 / 75

Step 3:
If we divide 458 by 75, we get 6 and a remainder of 8.
Use 6 as the next digit of our solution. 
Result so far: 6.0
The remainder is 8 after subtracting 450 from 458.
Bring next digit (6) of the dividend behind the 8 and repeat the process: 86 / 75

Moving on to step 4:
If we divide 86 by 75, we get 1 and a remainder of 11.
Use 1 as the next digit of our solution. 
Result so far: 61.0
Subtract 75 from 86 to get 11.
Fetch the next digit (8) from the dividend, attach it to 11 and continue: 118 / 75

On to step 5:
If we divide 118 by 75, we get 1 and a remainder of 43.
The number 1 becomes the next digit in our result. 
Result so far: 611.0
If we subtract 75 from 118, we get 43.
Include the next digit (8) from the dividend after 43, then repeat: 438 / 75

Step 6:
If we divide 438 by 75, we get 5 and a remainder of 63.
Use 5 as the next digit of our solution. 
Result so far: 6115.0
Subtract 375 from 438 to get 63.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

Let's proceed to step 7:
630 divided by 75 is 8 with a remainder of 30.
Write down 8 as next digit of the result. 
Result so far: 6115.8
Deduct 600 from 630 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 8:
75 can be fit into 300 4 times, resulting in a remainder of 0.
Write down 4 as next digit of the result. 
Result so far: 6115.84
Subtracting 300 from 300 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 9:
0 divided by 75 is 0 with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 6115.84
Deduct 0 from 0 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 10:
The number 75 fits into 0 0 times, leaving a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 6115.84
If we take 0 away from 0, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

After the division, we end up with 6115.84 and a remainder of 0.0.