We look at the division of 456377 by 75 
Let's see how many times 75 fits into 456377.

Going ahead to step 1:
The number 75 fits into 4 0 times, leaving a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Grab the next digit (5) from the dividend, add it to 4, then carry on: 45 / 75

Step 2:
75 can be fit into 45 0 times, resulting in a remainder of 45.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 45 to get 45.
Include the next digit (6) from the dividend after 45, then repeat: 456 / 75

Going ahead to step 3:
75 can be fit into 456 6 times, resulting in a remainder of 6.
The next digit of our result is 6. 
Result so far: 6.0
Deduct 450 from 456 and we're left with 6.
Take the next digit (3) from the dividend and append it to 6, then repeat: 63 / 75

Step 4:
75 can be fit into 63 0 times, resulting in a remainder of 63.
The next digit of our result is 0. 
Result so far: 60.0
If we take 0 away from 63, we end up with 63.
Take the next digit (7) from the dividend and append it to 63, then repeat: 637 / 75

On to step 5:
637 divided by 75 is 8 with a remainder of 37.
Use 8 as the next digit of our solution. 
Result so far: 608.0
Subtracting 600 from 637 leaves us with 37.
Take the next digit (7) from the dividend and append it to 37, then repeat: 377 / 75

Step 6:
The number 75 fits into 377 5 times, leaving a remainder of 2.
The next digit of our result is 5. 
Result so far: 6085.0
Subtract 375 from 377 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 7:
When dividing 20 by 75, we get 0 with a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 6085.0
Subtracting 0 from 20 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 8:
75 can be fit into 200 2 times, resulting in a remainder of 50.
The number 2 becomes the next digit in our result. 
Result so far: 6085.02
If we subtract 150 from 200, we 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.

Moving on to step 9:
75 goes into 500 6 times with a remainder of 50.
Put 6 as the next digit of the answer. 
Result so far: 6085.026
The remainder is 50 after subtracting 450 from 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Moving on to step 10:
The number 75 fits into 500 6 times, leaving a remainder of 50.
The next digit of our result is 6. 
Result so far: 6085.0266
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.

Our division results in 6085.0266 with a remaining 0.0005.