We're dividing 41905 by 71 
Our goal is to divide 41905 by 71.

Moving on to step 1:
If we divide 4 by 71, we get 0 and a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 71

On to step 2:
If we divide 41 by 71, we get 0 and a remainder of 41.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 41, we end up with 41.
Grab the next digit (9) from the dividend, add it to 41, then carry on: 419 / 71

Advancing to step 3:
71 can be fit into 419 5 times, resulting in a remainder of 64.
The next digit of our result is 5. 
Result so far: 5.0
Subtracting 355 from 419 leaves us with 64.
Append the next digit (0) from the dividend to 64 and continue with: 640 / 71

Step 4:
The number 71 fits into 640 9 times, leaving a remainder of 1.
Write down 9 as next digit of the result. 
Result so far: 59.0
Deduct 639 from 640 and we're left with 1.
Append the next digit (5) from the dividend to 1 and continue with: 15 / 71

Going ahead to step 5:
When dividing 15 by 71, we get 0 with a remainder of 15.
Use 0 as the next digit of our solution. 
Result so far: 590.0
If we take 0 away from 15, we end up with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Going ahead to step 6:
150 divided by 71 is 2 with a remainder of 8.
Record the quotient 2 as the next digit in the result. 
Result so far: 590.2
If we subtract 142 from 150, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 7:
71 goes into 80 1 times with a remainder of 9.
Use 1 as the next digit of our solution. 
Result so far: 590.21
Deduct 71 from 80 and we're left with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Going ahead to step 8:
When dividing 90 by 71, we get 1 with a remainder of 19.
The number 1 becomes the next digit in our result. 
Result so far: 590.211
If we subtract 71 from 90, we get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

The quotient of the division is 590.211, and the remainder is 0.0019.