We look at the division of 477863 by 75 
We want to figure out the number of times 477863 can be divided by 75.

Going ahead to step 1:
The number 75 fits into 4 0 times, leaving a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Bring next digit (7) of the dividend behind the 4 and repeat the process: 47 / 75

Advancing to step 2:
The number 75 fits into 47 0 times, leaving a remainder of 47.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 47 to get 47.
Take the next digit (7) from the dividend and append it to 47, then repeat: 477 / 75

Let's proceed to step 3:
75 can be fit into 477 6 times, resulting in a remainder of 27.
Use 6 as the next digit of our solution. 
Result so far: 6.0
If we take 450 away from 477, we end up with 27.
Append the next digit (8) from the dividend to 27 and continue with: 278 / 75

Moving on to step 4:
75 can be fit into 278 3 times, resulting in a remainder of 53.
Use 3 as the next digit of our solution. 
Result so far: 63.0
If we take 225 away from 278, we end up with 53.
Grab the next digit (6) from the dividend, add it to 53, then carry on: 536 / 75

Moving on to step 5:
When dividing 536 by 75, we get 7 with a remainder of 11.
Record the quotient 7 as the next digit in the result. 
Result so far: 637.0
The remainder is 11 after subtracting 525 from 536.
Include the next digit (3) from the dividend after 11, then repeat: 113 / 75

Let's proceed to step 6:
When dividing 113 by 75, we get 1 with a remainder of 38.
Record the quotient 1 as the next digit in the result. 
Result so far: 6371.0
If we take 75 away from 113, we end up with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

On to step 7:
When dividing 380 by 75, we get 5 with a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 6371.5
Deduct 375 from 380 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 8:
75 can be fit into 50 0 times, resulting in a remainder of 50.
Write down 0 as next digit of the result. 
Result so far: 6371.5
If we take 0 away from 50, we end up 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.

Step 9:
If we divide 500 by 75, we get 6 and a remainder of 50.
Write down 6 as next digit of the result. 
Result so far: 6371.506
Subtract 450 from 500 to 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.

Let's proceed to step 10:
500 divided by 75 is 6 with a remainder of 50.
Record the quotient 6 as the next digit in the result. 
Result so far: 6371.5066
If we take 450 away from 500, we end up 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.

After the division, we end up with 6371.5066 and a remainder of 0.0005.