871561 divided by 41 
We want to divide 871561 by 41.

Going ahead to step 1:
When dividing 8 by 41, we get 0 with a remainder of 8.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 8 after subtracting 0 from 8.
Bring next digit (7) of the dividend behind the 8 and repeat the process: 87 / 41

Advancing to step 2:
41 goes into 87 2 times with a remainder of 5.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
Deduct 82 from 87 and we're left with 5.
Take the next digit (1) from the dividend and append it to 5, then repeat: 51 / 41

Going ahead to step 3:
41 goes into 51 1 times with a remainder of 10.
Use 1 as the next digit of our solution. 
Result so far: 21.0
If we take 41 away from 51, we end up with 10.
Grab the next digit (5) from the dividend, add it to 10, then carry on: 105 / 41

Going ahead to step 4:
The number 41 fits into 105 2 times, leaving a remainder of 23.
Use 2 as the next digit of our solution. 
Result so far: 212.0
The remainder is 23 after subtracting 82 from 105.
Append the next digit (6) from the dividend to 23 and continue with: 236 / 41

Let's proceed to step 5:
The number 41 fits into 236 5 times, leaving a remainder of 31.
Use 5 as the next digit of our solution. 
Result so far: 2125.0
Deduct 205 from 236 and we're left with 31.
Grab the next digit (1) from the dividend, add it to 31, then carry on: 311 / 41

Step 6:
41 can be fit into 311 7 times, resulting in a remainder of 24.
Put 7 as the next digit of the answer. 
Result so far: 21257.0
If we subtract 287 from 311, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

On to step 7:
When dividing 240 by 41, we get 5 with a remainder of 35.
Record the quotient 5 as the next digit in the result. 
Result so far: 21257.5
If we subtract 205 from 240, we get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

On to step 8:
41 goes into 350 8 times with a remainder of 22.
The number 8 becomes the next digit in our result. 
Result so far: 21257.58
Deduct 328 from 350 and we're left with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Moving on to step 9:
When dividing 220 by 41, we get 5 with a remainder of 15.
The next digit of our result is 5. 
Result so far: 21257.585
Deduct 205 from 220 and we're left 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.

Advancing to step 10:
When dividing 150 by 41, we get 3 with a remainder of 27.
Use 3 as the next digit of our solution. 
Result so far: 21257.5853
Subtract 123 from 150 to get 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Going ahead to step 11:
41 goes into 270 6 times with a remainder of 24.
Use 6 as the next digit of our solution. 
Result so far: 21257.58536
Subtracting 246 from 270 leaves us with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Going ahead to step 12:
When dividing 240 by 41, we get 5 with a remainder of 35.
Record the quotient 5 as the next digit in the result. 
Result so far: 21257.585365
Subtract 205 from 240 to get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

On to step 13:
When dividing 350 by 41, we get 8 with a remainder of 22.
The number 8 becomes the next digit in our result. 
Result so far: 21257.5853658
Subtracting 328 from 350 leaves us with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Advancing to step 14:
The number 41 fits into 220 5 times, leaving a remainder of 15.
The number 5 becomes the next digit in our result. 
Result so far: 21257.58536585
The remainder is 15 after subtracting 205 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

In conclusion, the division gives 21257.58536585 with a balance of 1.5e-08.