875866 ÷ 41 
Our goal is to divide 875866 by 41.

Step 1:
8 divided by 41 is 0 with a remainder of 8.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 8 and we're left with 8.
Fetch the next digit (7) from the dividend, attach it to 8 and continue: 87 / 41

Let's proceed 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
Subtract 82 from 87 to get 5.
Fetch the next digit (5) from the dividend, attach it to 5 and continue: 55 / 41

Going ahead to step 3:
If we divide 55 by 41, we get 1 and a remainder of 14.
Record the quotient 1 as the next digit in the result. 
Result so far: 21.0
Subtract 41 from 55 to get 14.
Grab the next digit (8) from the dividend, add it to 14, then carry on: 148 / 41

Going ahead to step 4:
When dividing 148 by 41, we get 3 with a remainder of 25.
Write down 3 as next digit of the result. 
Result so far: 213.0
If we subtract 123 from 148, we get 25.
Append the next digit (6) from the dividend to 25 and continue with: 256 / 41

On to step 5:
If we divide 256 by 41, we get 6 and a remainder of 10.
Write down 6 as next digit of the result. 
Result so far: 2136.0
The remainder is 10 after subtracting 246 from 256.
Take the next digit (6) from the dividend and append it to 10, then repeat: 106 / 41

On to step 6:
When dividing 106 by 41, we get 2 with a remainder of 24.
The number 2 becomes the next digit in our result. 
Result so far: 21362.0
Deduct 82 from 106 and we're left 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.

Step 7:
41 goes into 240 5 times with a remainder of 35.
Write down 5 as next digit of the result. 
Result so far: 21362.5
The remainder is 35 after subtracting 205 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Step 8:
If we divide 350 by 41, we get 8 and a remainder of 22.
Write down 8 as next digit of the result. 
Result so far: 21362.58
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.

Let's proceed to step 9:
When dividing 220 by 41, we get 5 with a remainder of 15.
Record the quotient 5 as the next digit in the result. 
Result so far: 21362.585
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.

Going ahead to step 10:
When dividing 150 by 41, we get 3 with a remainder of 27.
Put 3 as the next digit of the answer. 
Result so far: 21362.5853
If we subtract 123 from 150, we 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.

Moving on to step 11:
The number 41 fits into 270 6 times, leaving a remainder of 24.
Use 6 as the next digit of our solution. 
Result so far: 21362.58536
Deduct 246 from 270 and we're left 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.

Let's proceed to step 12:
41 goes into 240 5 times with a remainder of 35.
Record the quotient 5 as the next digit in the result. 
Result so far: 21362.585365
The remainder is 35 after subtracting 205 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Let's proceed to step 13:
The number 41 fits into 350 8 times, leaving a remainder of 22.
Put 8 as the next digit of the answer. 
Result so far: 21362.5853658
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.

Step 14:
41 goes into 220 5 times with a remainder of 15.
Record the quotient 5 as the next digit in the result. 
Result so far: 21362.58536585
Subtract 205 from 220 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

The final outcome is 21362.58536585, with a leftover of 1.5e-08.