Let's divide 478376 by 75
Our goal is to divide 478376 by 75.

Moving on to step 1:
When dividing 4 by 75, we get 0 with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Append the next digit (7) from the dividend to 4 and continue with: 47 / 75

On to step 2:
47 divided by 75 is 0 with a remainder of 47.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 47 to get 47.
Append the next digit (8) from the dividend to 47 and continue with: 478 / 75

Going ahead to step 3:
75 can be fit into 478 6 times, resulting in a remainder of 28.
Write down 6 as next digit of the result. 
Result so far: 6.0
If we take 450 away from 478, we end up with 28.
Append the next digit (3) from the dividend to 28 and continue with: 283 / 75

Advancing to step 4:
The number 75 fits into 283 3 times, leaving a remainder of 58.
Use 3 as the next digit of our solution. 
Result so far: 63.0
Subtract 225 from 283 to get 58.
Append the next digit (7) from the dividend to 58 and continue with: 587 / 75

Moving on to step 5:
When dividing 587 by 75, we get 7 with a remainder of 62.
Put 7 as the next digit of the answer. 
Result so far: 637.0
Subtracting 525 from 587 leaves us with 62.
Bring next digit (6) of the dividend behind the 62 and repeat the process: 626 / 75

Moving on to step 6:
75 can be fit into 626 8 times, resulting in a remainder of 26.
Write down 8 as next digit of the result. 
Result so far: 6378.0
If we take 600 away from 626, we end up with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

On to step 7:
If we divide 260 by 75, we get 3 and a remainder of 35.
Use 3 as the next digit of our solution. 
Result so far: 6378.3
Deduct 225 from 260 and we're left with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Going ahead to step 8:
75 can be fit into 350 4 times, resulting in a remainder of 50.
Put 4 as the next digit of the answer. 
Result so far: 6378.34
The remainder is 50 after subtracting 300 from 350.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

On to step 9:
The number 75 fits into 500 6 times, leaving a remainder of 50.
The next digit of our result is 6. 
Result so far: 6378.346
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.

Moving on to step 10:
When dividing 500 by 75, we get 6 with a remainder of 50.
The next digit of our result is 6. 
Result so far: 6378.3466
If we subtract 450 from 500, 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.

The quotient of the division is 6378.3466, and the remainder is 0.0005.