Let's divide 11105891 by 106
Our goal is to divide 11105891 by 106.

Let's proceed to step 1:
106 goes into 1 0 times with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Include the next digit (1) from the dividend after 1, then repeat: 11 / 106

On to step 2:
106 can be fit into 11 0 times, resulting in a remainder of 11.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 11 after subtracting 0 from 11.
Grab the next digit (1) from the dividend, add it to 11, then carry on: 111 / 106

On to step 3:
106 goes into 111 1 times with a remainder of 5.
Write down 1 as next digit of the result. 
Result so far: 1.0
The remainder is 5 after subtracting 106 from 111.
Include the next digit (0) from the dividend after 5, then repeat: 50 / 106

On to step 4:
If we divide 50 by 106, we get 0 and a remainder of 50.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
Deduct 0 from 50 and we're left with 50.
Grab the next digit (5) from the dividend, add it to 50, then carry on: 505 / 106

Advancing to step 5:
If we divide 505 by 106, we get 4 and a remainder of 81.
Put 4 as the next digit of the answer. 
Result so far: 104.0
If we subtract 424 from 505, we get 81.
Append the next digit (8) from the dividend to 81 and continue with: 818 / 106

Advancing to step 6:
106 goes into 818 7 times with a remainder of 76.
The number 7 becomes the next digit in our result. 
Result so far: 1047.0
If we take 742 away from 818, we end up with 76.
Fetch the next digit (9) from the dividend, attach it to 76 and continue: 769 / 106

Step 7:
If we divide 769 by 106, we get 7 and a remainder of 27.
The next digit of our result is 7. 
Result so far: 10477.0
The remainder is 27 after subtracting 742 from 769.
Fetch the next digit (1) from the dividend, attach it to 27 and continue: 271 / 106

Going ahead to step 8:
106 goes into 271 2 times with a remainder of 59.
Use 2 as the next digit of our solution. 
Result so far: 104772.0
Subtracting 212 from 271 leaves us with 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Advancing to step 9:
106 can be fit into 590 5 times, resulting in a remainder of 60.
The next digit of our result is 5. 
Result so far: 104772.5
Subtract 530 from 590 to get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Moving on to step 10:
The number 106 fits into 600 5 times, leaving a remainder of 70.
Write down 5 as next digit of the result. 
Result so far: 104772.55
The remainder is 70 after subtracting 530 from 600.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

The final result is 104772.55 with a remainder of 0.07.