We're dividing 106602 by 11 
We want to figure out the number of times 106602 can be divided by 11.

Advancing to step 1:
The number 11 fits into 1 0 times, leaving a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 11

Step 2:
10 divided by 11 is 0 with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 10 to get 10.
Include the next digit (6) from the dividend after 10, then repeat: 106 / 11

Advancing to step 3:
11 can be fit into 106 9 times, resulting in a remainder of 7.
The number 9 becomes the next digit in our result. 
Result so far: 9.0
If we subtract 99 from 106, we get 7.
Take the next digit (6) from the dividend and append it to 7, then repeat: 76 / 11

Step 4:
If we divide 76 by 11, we get 6 and a remainder of 10.
Use 6 as the next digit of our solution. 
Result so far: 96.0
The remainder is 10 after subtracting 66 from 76.
Grab the next digit (0) from the dividend, add it to 10, then carry on: 100 / 11

Step 5:
If we divide 100 by 11, we get 9 and a remainder of 1.
The number 9 becomes the next digit in our result. 
Result so far: 969.0
If we take 99 away from 100, we end up with 1.
Append the next digit (2) from the dividend to 1 and continue with: 12 / 11

Let's proceed to step 6:
11 goes into 12 1 times with a remainder of 1.
Write down 1 as next digit of the result. 
Result so far: 9691.0
Deduct 11 from 12 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.

Moving on to step 7:
If we divide 10 by 11, we get 0 and a remainder of 10.
The next digit of our result is 0. 
Result so far: 9691.0
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.

Advancing to step 8:
11 can be fit into 100 9 times, resulting in a remainder of 1.
Put 9 as the next digit of the answer. 
Result so far: 9691.09
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 9:
11 can be fit into 10 0 times, resulting in a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 9691.09
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.

Moving on to step 10:
11 can be fit into 100 9 times, resulting in a remainder of 1.
The next digit of our result is 9. 
Result so far: 9691.0909
If we subtract 99 from 100, we 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.

Moving on to step 11:
10 divided by 11 is 0 with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 9691.0909
The remainder is 10 after subtracting 0 from 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:
The number 11 fits into 100 9 times, leaving a remainder of 1.
The number 9 becomes the next digit in our result. 
Result so far: 9691.090909
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.

Step 13:
11 goes into 10 0 times with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 9691.090909
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.

Going ahead to step 14:
100 divided by 11 is 9 with a remainder of 1.
Write down 9 as next digit of the result. 
Result so far: 9691.09090909
If we take 99 away from 100, we end up 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.

The quotient of the division is 9691.09090909, and the remainder is 1e-09.