Let's divide 142166 by 11
We're looking to find how many times 11 goes into 142166.

Moving on to step 1:
11 goes into 1 0 times with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Append the next digit (4) from the dividend to 1 and continue with: 14 / 11

On to step 2:
When dividing 14 by 11, we get 1 with a remainder of 3.
The next digit of our result is 1. 
Result so far: 1.0
Subtracting 11 from 14 leaves us with 3.
Take the next digit (2) from the dividend and append it to 3, then repeat: 32 / 11

Moving on to step 3:
32 divided by 11 is 2 with a remainder of 10.
Record the quotient 2 as the next digit in the result. 
Result so far: 12.0
Subtracting 22 from 32 leaves us with 10.
Bring next digit (1) of the dividend behind the 10 and repeat the process: 101 / 11

Going ahead to step 4:
If we divide 101 by 11, we get 9 and a remainder of 2.
Record the quotient 9 as the next digit in the result. 
Result so far: 129.0
The remainder is 2 after subtracting 99 from 101.
Take the next digit (6) from the dividend and append it to 2, then repeat: 26 / 11

Let's proceed to step 5:
The number 11 fits into 26 2 times, leaving a remainder of 4.
The next digit of our result is 2. 
Result so far: 1292.0
Deduct 22 from 26 and we're left with 4.
Take the next digit (6) from the dividend and append it to 4, then repeat: 46 / 11

Moving on to step 6:
When dividing 46 by 11, we get 4 with a remainder of 2.
Use 4 as the next digit of our solution. 
Result so far: 12924.0
Subtracting 44 from 46 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 7:
11 can be fit into 20 1 times, resulting in a remainder of 9.
Record the quotient 1 as the next digit in the result. 
Result so far: 12924.1
If we take 11 away from 20, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 8:
If we divide 90 by 11, we get 8 and a remainder of 2.
Use 8 as the next digit of our solution. 
Result so far: 12924.18
Deduct 88 from 90 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 9:
11 can be fit into 20 1 times, resulting in a remainder of 9.
Use 1 as the next digit of our solution. 
Result so far: 12924.181
Subtract 11 from 20 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Advancing to step 10:
11 goes into 90 8 times with a remainder of 2.
Use 8 as the next digit of our solution. 
Result so far: 12924.1818
The remainder is 2 after subtracting 88 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 11:
The number 11 fits into 20 1 times, leaving a remainder of 9.
Put 1 as the next digit of the answer. 
Result so far: 12924.18181
Deduct 11 from 20 and we're left with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Moving on to step 12:
90 divided by 11 is 8 with a remainder of 2.
Record the quotient 8 as the next digit in the result. 
Result so far: 12924.181818
The remainder is 2 after subtracting 88 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 13:
20 divided by 11 is 1 with a remainder of 9.
The number 1 becomes the next digit in our result. 
Result so far: 12924.1818181
If we take 11 away from 20, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Let's proceed to step 14:
When dividing 90 by 11, we get 8 with a remainder of 2.
Use 8 as the next digit of our solution. 
Result so far: 12924.18181818
Subtract 88 from 90 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

The final result is 12924.18181818 with a remainder of 2e-09.