Let's divide 471871 by 41
Our goal is to divide 471871 by 41.

Going ahead to step 1:
If we divide 4 by 41, we get 0 and a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Grab the next digit (7) from the dividend, add it to 4, then carry on: 47 / 41

Step 2:
47 divided by 41 is 1 with a remainder of 6.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtracting 41 from 47 leaves us with 6.
Grab the next digit (1) from the dividend, add it to 6, then carry on: 61 / 41

On to step 3:
When dividing 61 by 41, we get 1 with a remainder of 20.
Write down 1 as next digit of the result. 
Result so far: 11.0
The remainder is 20 after subtracting 41 from 61.
Grab the next digit (8) from the dividend, add it to 20, then carry on: 208 / 41

Step 4:
The number 41 fits into 208 5 times, leaving a remainder of 3.
The number 5 becomes the next digit in our result. 
Result so far: 115.0
If we subtract 205 from 208, we get 3.
Append the next digit (7) from the dividend to 3 and continue with: 37 / 41

Advancing to step 5:
When dividing 37 by 41, we get 0 with a remainder of 37.
Write down 0 as next digit of the result. 
Result so far: 1150.0
If we take 0 away from 37, we end up with 37.
Include the next digit (1) from the dividend after 37, then repeat: 371 / 41

Let's proceed to step 6:
371 divided by 41 is 9 with a remainder of 2.
Record the quotient 9 as the next digit in the result. 
Result so far: 11509.0
If we subtract 369 from 371, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 7:
41 goes into 20 0 times with a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 11509.0
Subtract 0 from 20 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 8:
200 divided by 41 is 4 with a remainder of 36.
Use 4 as the next digit of our solution. 
Result so far: 11509.04
If we take 164 away from 200, we end up with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Step 9:
If we divide 360 by 41, we get 8 and a remainder of 32.
The next digit of our result is 8. 
Result so far: 11509.048
If we subtract 328 from 360, we get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Let's proceed to step 10:
The number 41 fits into 320 7 times, leaving a remainder of 33.
The number 7 becomes the next digit in our result. 
Result so far: 11509.0487
Subtract 287 from 320 to get 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

On to step 11:
When dividing 330 by 41, we get 8 with a remainder of 2.
Write down 8 as next digit of the result. 
Result so far: 11509.04878
The remainder is 2 after subtracting 328 from 330.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 12:
When dividing 20 by 41, we get 0 with a remainder of 20.
The next digit of our result is 0. 
Result so far: 11509.04878
Subtracting 0 from 20 leaves us 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.

On to step 13:
If we divide 200 by 41, we get 4 and a remainder of 36.
Record the quotient 4 as the next digit in the result. 
Result so far: 11509.0487804
The remainder is 36 after subtracting 164 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Going ahead to step 14:
41 can be fit into 360 8 times, resulting in a remainder of 32.
The number 8 becomes the next digit in our result. 
Result so far: 11509.04878048
Subtracting 328 from 360 leaves us with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

The final outcome is 11509.04878048, with a leftover of 3.2e-08.