Let's divide 106514 by 11
Our goal is to divide 106514 by 11.

Going ahead to step 1:
If we divide 1 by 11, we get 0 and a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Fetch the next digit (0) from the dividend, attach it to 1 and continue: 10 / 11

Advancing to step 2:
When dividing 10 by 11, we get 0 with a remainder of 10.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 10 to get 10.
Append the next digit (6) from the dividend to 10 and continue with: 106 / 11

Moving on to step 3:
106 divided by 11 is 9 with a remainder of 7.
The next digit of our result is 9. 
Result so far: 9.0
The remainder is 7 after subtracting 99 from 106.
Append the next digit (5) from the dividend to 7 and continue with: 75 / 11

On to step 4:
When dividing 75 by 11, we get 6 with a remainder of 9.
Write down 6 as next digit of the result. 
Result so far: 96.0
If we take 66 away from 75, we end up with 9.
Take the next digit (1) from the dividend and append it to 9, then repeat: 91 / 11

Step 5:
The number 11 fits into 91 8 times, leaving a remainder of 3.
Use 8 as the next digit of our solution. 
Result so far: 968.0
Subtracting 88 from 91 leaves us with 3.
Take the next digit (4) from the dividend and append it to 3, then repeat: 34 / 11

Moving on to step 6:
The number 11 fits into 34 3 times, leaving a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 9683.0
Subtract 33 from 34 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 7:
11 goes into 10 0 times with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 9683.0
Subtract 0 from 10 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 8:
If we divide 100 by 11, we get 9 and a remainder of 1.
Write down 9 as next digit of the result. 
Result so far: 9683.09
Deduct 99 from 100 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 9:
11 goes into 10 0 times with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 9683.09
If we subtract 0 from 10, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 10:
When dividing 100 by 11, we get 9 with a remainder of 1.
Record the quotient 9 as the next digit in the result. 
Result so far: 9683.0909
The remainder is 1 after subtracting 99 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 11:
If we divide 10 by 11, we get 0 and a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 9683.0909
Subtract 0 from 10 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 12:
If we divide 100 by 11, we get 9 and a remainder of 1.
Use 9 as the next digit of our solution. 
Result so far: 9683.090909
Deduct 99 from 100 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 13:
The number 11 fits into 10 0 times, leaving a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 9683.090909
If we take 0 away from 10, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 14:
If we divide 100 by 11, we get 9 and a remainder of 1.
Put 9 as the next digit of the answer. 
Result so far: 9683.09090909
Deduct 99 from 100 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

After the division, we end up with 9683.09090909 and a remainder of 1e-09.