478961 ÷ 75 
Let's see how many times 75 fits into 478961.

Going ahead to step 1:
75 goes into 4 0 times with a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 4, we get 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.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 47 to get 47.
Bring next digit (8) of the dividend behind the 47 and repeat the process: 478 / 75

Going ahead to step 3:
When dividing 478 by 75, we get 6 with a remainder of 28.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
The remainder is 28 after subtracting 450 from 478.
Take the next digit (9) from the dividend and append it to 28, then repeat: 289 / 75

Let's proceed to step 4:
The number 75 fits into 289 3 times, leaving a remainder of 64.
Use 3 as the next digit of our solution. 
Result so far: 63.0
Deduct 225 from 289 and we're left with 64.
Include the next digit (6) from the dividend after 64, then repeat: 646 / 75

Advancing to step 5:
646 divided by 75 is 8 with a remainder of 46.
Put 8 as the next digit of the answer. 
Result so far: 638.0
The remainder is 46 after subtracting 600 from 646.
Include the next digit (1) from the dividend after 46, then repeat: 461 / 75

Advancing to step 6:
461 divided by 75 is 6 with a remainder of 11.
The number 6 becomes the next digit in our result. 
Result so far: 6386.0
If we take 450 away from 461, we end up with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Moving on to step 7:
75 goes into 110 1 times with a remainder of 35.
Record the quotient 1 as the next digit in the result. 
Result so far: 6386.1
Deduct 75 from 110 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:
When dividing 350 by 75, we get 4 with a remainder of 50.
Write down 4 as next digit of the result. 
Result so far: 6386.14
Subtract 300 from 350 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 9:
When dividing 500 by 75, we get 6 with a remainder of 50.
The next digit of our result is 6. 
Result so far: 6386.146
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.

Going ahead to step 10:
75 can be fit into 500 6 times, resulting in a remainder of 50.
The next digit of our result is 6. 
Result so far: 6386.1466
Subtracting 450 from 500 leaves us 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.

The final outcome is 6386.1466, with a leftover of 0.0005.