We look at the division of 966916 by 7 
We're looking to find how many times 7 goes into 966916.

Going ahead to step 1:
9 divided by 7 is 1 with a remainder of 2.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtracting 7 from 9 leaves us with 2.
Include the next digit (6) from the dividend after 2, then repeat: 26 / 7

On to step 2:
When dividing 26 by 7, we get 3 with a remainder of 5.
Use 3 as the next digit of our solution. 
Result so far: 13.0
If we subtract 21 from 26, we get 5.
Fetch the next digit (6) from the dividend, attach it to 5 and continue: 56 / 7

Going ahead to step 3:
56 divided by 7 is 8 with a remainder of 0.
Use 8 as the next digit of our solution. 
Result so far: 138.0
Subtracting 56 from 56 leaves us with 0.
Append the next digit (9) from the dividend to 0 and continue with: 9 / 7

Step 4:
9 divided by 7 is 1 with a remainder of 2.
Put 1 as the next digit of the answer. 
Result so far: 1381.0
Deduct 7 from 9 and we're left with 2.
Take the next digit (1) from the dividend and append it to 2, then repeat: 21 / 7

Step 5:
If we divide 21 by 7, we get 3 and a remainder of 0.
The number 3 becomes the next digit in our result. 
Result so far: 13813.0
If we subtract 21 from 21, we get 0.
Bring next digit (6) of the dividend behind the 0 and repeat the process: 6 / 7

On to step 6:
6 divided by 7 is 0 with a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 138130.0
Deduct 0 from 6 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 7:
60 divided by 7 is 8 with a remainder of 4.
The number 8 becomes the next digit in our result. 
Result so far: 138130.8
If we subtract 56 from 60, 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.

On to step 8:
When dividing 40 by 7, we get 5 with a remainder of 5.
The next digit of our result is 5. 
Result so far: 138130.85
The remainder is 5 after subtracting 35 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 9:
When dividing 50 by 7, we get 7 with a remainder of 1.
The number 7 becomes the next digit in our result. 
Result so far: 138130.857
If we take 49 away from 50, 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.

Moving on to step 10:
10 divided by 7 is 1 with a remainder of 3.
The number 1 becomes the next digit in our result. 
Result so far: 138130.8571
Subtracting 7 from 10 leaves us with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

On to step 11:
7 can be fit into 30 4 times, resulting in a remainder of 2.
Record the quotient 4 as the next digit in the result. 
Result so far: 138130.85714
If we take 28 away from 30, we end up 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.

Advancing to step 12:
7 goes into 20 2 times with a remainder of 6.
The number 2 becomes the next digit in our result. 
Result so far: 138130.857142
If we take 14 away from 20, we end up 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.

Step 13:
60 divided by 7 is 8 with a remainder of 4.
Put 8 as the next digit of the answer. 
Result so far: 138130.8571428
If we take 56 away from 60, 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.

On to step 14:
7 can be fit into 40 5 times, resulting in a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 138130.85714285
Deduct 35 from 40 and we're left 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.

After the division, we end up with 138130.85714285 and a remainder of 5e-09.