We look at the division of 962666 by 7 
We want to divide 962666 by 7.

On to step 1:
7 goes into 9 1 times with a remainder of 2.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Deduct 7 from 9 and we're left with 2.
Fetch the next digit (6) from the dividend, attach it to 2 and continue: 26 / 7

Step 2:
If we divide 26 by 7, we get 3 and a remainder of 5.
Use 3 as the next digit of our solution. 
Result so far: 13.0
Subtract 21 from 26 to get 5.
Append the next digit (2) from the dividend to 5 and continue with: 52 / 7

Let's proceed to step 3:
7 can be fit into 52 7 times, resulting in a remainder of 3.
The next digit of our result is 7. 
Result so far: 137.0
The remainder is 3 after subtracting 49 from 52.
Fetch the next digit (6) from the dividend, attach it to 3 and continue: 36 / 7

Advancing to step 4:
7 can be fit into 36 5 times, resulting in a remainder of 1.
The next digit of our result is 5. 
Result so far: 1375.0
Subtract 35 from 36 to get 1.
Bring next digit (6) of the dividend behind the 1 and repeat the process: 16 / 7

Going ahead to step 5:
16 divided by 7 is 2 with a remainder of 2.
The next digit of our result is 2. 
Result so far: 13752.0
If we subtract 14 from 16, we get 2.
Include the next digit (6) from the dividend after 2, then repeat: 26 / 7

Let's proceed to step 6:
7 can be fit into 26 3 times, resulting in a remainder of 5.
The number 3 becomes the next digit in our result. 
Result so far: 137523.0
Subtracting 21 from 26 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 7:
50 divided by 7 is 7 with a remainder of 1.
Write down 7 as next digit of the result. 
Result so far: 137523.7
Subtract 49 from 50 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.

Going ahead to step 8:
When dividing 10 by 7, we get 1 with a remainder of 3.
Write down 1 as next digit of the result. 
Result so far: 137523.71
The remainder is 3 after subtracting 7 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 9:
30 divided by 7 is 4 with a remainder of 2.
Record the quotient 4 as the next digit in the result. 
Result so far: 137523.714
The remainder is 2 after subtracting 28 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 10:
The number 7 fits into 20 2 times, leaving a remainder of 6.
Use 2 as the next digit of our solution. 
Result so far: 137523.7142
Deduct 14 from 20 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 11:
7 can be fit into 60 8 times, resulting in a remainder of 4.
Record the quotient 8 as the next digit in the result. 
Result so far: 137523.71428
Deduct 56 from 60 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.

On to step 12:
When dividing 40 by 7, we get 5 with a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 137523.714285
If we take 35 away from 40, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 13:
7 goes into 50 7 times with a remainder of 1.
The number 7 becomes the next digit in our result. 
Result so far: 137523.7142857
Subtract 49 from 50 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.

Step 14:
7 can be fit into 10 1 times, resulting in a remainder of 3.
Record the quotient 1 as the next digit in the result. 
Result so far: 137523.71428571
The remainder is 3 after subtracting 7 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Our division results in 137523.71428571 with a remaining 3e-09.