Let's divide 110381 by 11
Our goal is to divide 110381 by 11.

Moving on to step 1:
When dividing 1 by 11, we get 0 with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Take the next digit (1) from the dividend and append it to 1, then repeat: 11 / 11

Let's proceed to step 2:
11 can be fit into 11 1 times, resulting in a remainder of 0.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we take 11 away from 11, we end up with 0.
Include the next digit (0) from the dividend after 0, then repeat: 0 / 11

Moving on to step 3:
11 goes into 0 0 times with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 10.0
Deduct 0 from 0 and we're left with 0.
Grab the next digit (3) from the dividend, add it to 0, then carry on: 3 / 11

Advancing to step 4:
11 can be fit into 3 0 times, resulting in a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 100.0
If we take 0 away from 3, we end up with 3.
Take the next digit (8) from the dividend and append it to 3, then repeat: 38 / 11

Step 5:
11 goes into 38 3 times with a remainder of 5.
The number 3 becomes the next digit in our result. 
Result so far: 1003.0
The remainder is 5 after subtracting 33 from 38.
Append the next digit (1) from the dividend to 5 and continue with: 51 / 11

Moving on to step 6:
The number 11 fits into 51 4 times, leaving a remainder of 7.
Use 4 as the next digit of our solution. 
Result so far: 10034.0
Subtract 44 from 51 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 7:
11 goes into 70 6 times with a remainder of 4.
The next digit of our result is 6. 
Result so far: 10034.6
If we take 66 away from 70, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 8:
11 can be fit into 40 3 times, resulting in a remainder of 7.
Put 3 as the next digit of the answer. 
Result so far: 10034.63
Deduct 33 from 40 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Going ahead to step 9:
70 divided by 11 is 6 with a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 10034.636
Subtracting 66 from 70 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 10:
11 can be fit into 40 3 times, resulting in a remainder of 7.
The next digit of our result is 3. 
Result so far: 10034.6363
If we take 33 away from 40, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 11:
11 can be fit into 70 6 times, resulting in a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 10034.63636
If we subtract 66 from 70, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 12:
40 divided by 11 is 3 with a remainder of 7.
Put 3 as the next digit of the answer. 
Result so far: 10034.636363
If we take 33 away from 40, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 13:
If we divide 70 by 11, we get 6 and a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 10034.6363636
Deduct 66 from 70 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 14:
If we divide 40 by 11, we get 3 and a remainder of 7.
The next digit of our result is 3. 
Result so far: 10034.63636363
Deduct 33 from 40 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Our division results in 10034.63636363 with a remaining 7e-09.