We look at the division of 417919 by 74 
We want to divide 417919 by 74.

Moving on to step 1:
The number 74 fits into 4 0 times, leaving a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Append the next digit (1) from the dividend to 4 and continue with: 41 / 74

Going ahead to step 2:
41 divided by 74 is 0 with a remainder of 41.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 41, we get 41.
Take the next digit (7) from the dividend and append it to 41, then repeat: 417 / 74

Moving on to step 3:
When dividing 417 by 74, we get 5 with a remainder of 47.
Write down 5 as next digit of the result. 
Result so far: 5.0
Subtract 370 from 417 to get 47.
Include the next digit (9) from the dividend after 47, then repeat: 479 / 74

Advancing to step 4:
The number 74 fits into 479 6 times, leaving a remainder of 35.
Write down 6 as next digit of the result. 
Result so far: 56.0
Deduct 444 from 479 and we're left with 35.
Append the next digit (1) from the dividend to 35 and continue with: 351 / 74

Advancing to step 5:
351 divided by 74 is 4 with a remainder of 55.
The number 4 becomes the next digit in our result. 
Result so far: 564.0
If we take 296 away from 351, we end up with 55.
Take the next digit (9) from the dividend and append it to 55, then repeat: 559 / 74

Moving on to step 6:
The number 74 fits into 559 7 times, leaving a remainder of 41.
The next digit of our result is 7. 
Result so far: 5647.0
The remainder is 41 after subtracting 518 from 559.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Advancing to step 7:
When dividing 410 by 74, we get 5 with a remainder of 40.
Put 5 as the next digit of the answer. 
Result so far: 5647.5
The remainder is 40 after subtracting 370 from 410.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 8:
If we divide 400 by 74, we get 5 and a remainder of 30.
The next digit of our result is 5. 
Result so far: 5647.55
Subtract 370 from 400 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Our division results in 5647.55 with a remaining 0.03.