We divide 41719 by 74
We're looking to find how many times 74 goes into 41719.

Moving on to step 1:
When dividing 4 by 74, we get 0 with a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Grab the next digit (1) from the dividend, add it to 4, then carry on: 41 / 74

Going ahead to step 2:
41 divided by 74 is 0 with a remainder of 41.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 41 and we're left with 41.
Bring next digit (7) of the dividend behind the 41 and repeat the process: 417 / 74

Advancing to step 3:
The number 74 fits into 417 5 times, leaving a remainder of 47.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
Subtract 370 from 417 to get 47.
Fetch the next digit (1) from the dividend, attach it to 47 and continue: 471 / 74

Going ahead to step 4:
74 can be fit into 471 6 times, resulting in a remainder of 27.
Put 6 as the next digit of the answer. 
Result so far: 56.0
Subtract 444 from 471 to get 27.
Take the next digit (9) from the dividend and append it to 27, then repeat: 279 / 74

Step 5:
If we divide 279 by 74, we get 3 and a remainder of 57.
The number 3 becomes the next digit in our result. 
Result so far: 563.0
If we take 222 away from 279, we end up with 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

Moving on to step 6:
570 divided by 74 is 7 with a remainder of 52.
Put 7 as the next digit of the answer. 
Result so far: 563.7
The remainder is 52 after subtracting 518 from 570.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Going ahead to step 7:
The number 74 fits into 520 7 times, leaving a remainder of 2.
The number 7 becomes the next digit in our result. 
Result so far: 563.77
If we take 518 away from 520, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

The quotient of the division is 563.77, and the remainder is 0.002.