We look at the division of 41081106 by 859 
We want to divide 41081106 by 859.

Going ahead to step 1:
859 goes into 4 0 times with a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Grab the next digit (1) from the dividend, add it to 4, then carry on: 41 / 859

Step 2:
859 goes into 41 0 times with a remainder of 41.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 41 leaves us with 41.
Fetch the next digit (0) from the dividend, attach it to 41 and continue: 410 / 859

Advancing to step 3:
859 can be fit into 410 0 times, resulting in a remainder of 410.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 410 after subtracting 0 from 410.
Append the next digit (8) from the dividend to 410 and continue with: 4108 / 859

Advancing to step 4:
4108 divided by 859 is 4 with a remainder of 672.
Put 4 as the next digit of the answer. 
Result so far: 4.0
If we take 3436 away from 4108, we end up with 672.
Include the next digit (1) from the dividend after 672, then repeat: 6721 / 859

On to step 5:
6721 divided by 859 is 7 with a remainder of 708.
The next digit of our result is 7. 
Result so far: 47.0
Deduct 6013 from 6721 and we're left with 708.
Take the next digit (1) from the dividend and append it to 708, then repeat: 7081 / 859

Going ahead to step 6:
If we divide 7081 by 859, we get 8 and a remainder of 209.
The next digit of our result is 8. 
Result so far: 478.0
Deduct 6872 from 7081 and we're left with 209.
Append the next digit (0) from the dividend to 209 and continue with: 2090 / 859

On to step 7:
If we divide 2090 by 859, we get 2 and a remainder of 372.
The number 2 becomes the next digit in our result. 
Result so far: 4782.0
Subtracting 1718 from 2090 leaves us with 372.
Take the next digit (6) from the dividend and append it to 372, then repeat: 3726 / 859

Let's proceed to step 8:
3726 divided by 859 is 4 with a remainder of 290.
Put 4 as the next digit of the answer. 
Result so far: 47824.0
Subtract 3436 from 3726 to get 290.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2900, and continue the process.

Going ahead to step 9:
2900 divided by 859 is 3 with a remainder of 323.
The number 3 becomes the next digit in our result. 
Result so far: 47824.3
Subtract 2577 from 2900 to get 323.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3230, and continue the process.

Moving on to step 10:
859 goes into 3230 3 times with a remainder of 653.
Record the quotient 3 as the next digit in the result. 
Result so far: 47824.33
Subtracting 2577 from 3230 leaves us with 653.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6530, and continue the process.

After the division, we end up with 47824.33 and a remainder of 0.653.