668946 ÷ 7 
We want to figure out the number of times 668946 can be divided by 7.

Let's proceed to step 1:
The number 7 fits into 6 0 times, leaving a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Include the next digit (6) from the dividend after 6, then repeat: 66 / 7

Moving on to step 2:
If we divide 66 by 7, we get 9 and a remainder of 3.
The next digit of our result is 9. 
Result so far: 9.0
Deduct 63 from 66 and we're left with 3.
Take the next digit (8) from the dividend and append it to 3, then repeat: 38 / 7

Advancing to step 3:
7 goes into 38 5 times with a remainder of 3.
The next digit of our result is 5. 
Result so far: 95.0
If we take 35 away from 38, we end up with 3.
Fetch the next digit (9) from the dividend, attach it to 3 and continue: 39 / 7

On to step 4:
7 goes into 39 5 times with a remainder of 4.
Record the quotient 5 as the next digit in the result. 
Result so far: 955.0
If we subtract 35 from 39, we get 4.
Append the next digit (4) from the dividend to 4 and continue with: 44 / 7

Step 5:
7 goes into 44 6 times with a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 9556.0
The remainder is 2 after subtracting 42 from 44.
Include the next digit (6) from the dividend after 2, then repeat: 26 / 7

Moving on to step 6:
When dividing 26 by 7, we get 3 with a remainder of 5.
Record the quotient 3 as the next digit in the result. 
Result so far: 95563.0
Subtract 21 from 26 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 7:
7 goes into 50 7 times with a remainder of 1.
The number 7 becomes the next digit in our result. 
Result so far: 95563.7
Deduct 49 from 50 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.

On to step 8:
7 goes into 10 1 times with a remainder of 3.
The number 1 becomes the next digit in our result. 
Result so far: 95563.71
Deduct 7 from 10 and we're left 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 9:
If we divide 30 by 7, we get 4 and a remainder of 2.
Put 4 as the next digit of the answer. 
Result so far: 95563.714
Subtracting 28 from 30 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.

On to step 10:
If we divide 20 by 7, we get 2 and a remainder of 6.
Write down 2 as next digit of the result. 
Result so far: 95563.7142
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.

Advancing to step 11:
7 goes into 60 8 times with a remainder of 4.
Write down 8 as next digit of the result. 
Result so far: 95563.71428
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.

Moving on to step 12:
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: 95563.714285
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.

Step 13:
7 can be fit into 50 7 times, resulting in a remainder of 1.
Record the quotient 7 as the next digit in the result. 
Result so far: 95563.7142857
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:
10 divided by 7 is 1 with a remainder of 3.
Write down 1 as next digit of the result. 
Result so far: 95563.71428571
Deduct 7 from 10 and we're left 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.

Our division results in 95563.71428571 with a remaining 3e-09.