419792 ÷ 75 
Let's see how many times 75 fits into 419792.

Going ahead to step 1:
4 divided by 75 is 0 with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Take the next digit (1) from the dividend and append it to 4, then repeat: 41 / 75

Step 2:
75 can be fit into 41 0 times, resulting in a remainder of 41.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 41 leaves us with 41.
Take the next digit (9) from the dividend and append it to 41, then repeat: 419 / 75

Step 3:
The number 75 fits into 419 5 times, leaving a remainder of 44.
Put 5 as the next digit of the answer. 
Result so far: 5.0
Subtract 375 from 419 to get 44.
Take the next digit (7) from the dividend and append it to 44, then repeat: 447 / 75

Advancing to step 4:
75 can be fit into 447 5 times, resulting in a remainder of 72.
Use 5 as the next digit of our solution. 
Result so far: 55.0
Subtracting 375 from 447 leaves us with 72.
Take the next digit (9) from the dividend and append it to 72, then repeat: 729 / 75

Moving on to step 5:
75 goes into 729 9 times with a remainder of 54.
Record the quotient 9 as the next digit in the result. 
Result so far: 559.0
If we take 675 away from 729, we end up with 54.
Grab the next digit (2) from the dividend, add it to 54, then carry on: 542 / 75

Let's proceed to step 6:
When dividing 542 by 75, we get 7 with a remainder of 17.
The next digit of our result is 7. 
Result so far: 5597.0
Deduct 525 from 542 and we're left with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Let's proceed to step 7:
75 can be fit into 170 2 times, resulting in a remainder of 20.
Put 2 as the next digit of the answer. 
Result so far: 5597.2
If we take 150 away from 170, we end up 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.

Going ahead to step 8:
75 can be fit into 200 2 times, resulting in a remainder of 50.
Write down 2 as next digit of the result. 
Result so far: 5597.22
If we take 150 away from 200, 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.

The quotient of the division is 5597.22, and the remainder is 0.05.