669688 divided by 7 
Our goal is to divide 669688 by 7.

Advancing to step 1:
6 divided by 7 is 0 with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Bring next digit (6) of the dividend behind the 6 and repeat the process: 66 / 7

Moving on to step 2:
When dividing 66 by 7, we get 9 with a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 9.0
If we take 63 away from 66, we end up with 3.
Include the next digit (9) from the dividend after 3, then repeat: 39 / 7

On to step 3:
When dividing 39 by 7, we get 5 with a remainder of 4.
Write down 5 as next digit of the result. 
Result so far: 95.0
Subtract 35 from 39 to get 4.
Include the next digit (6) from the dividend after 4, then repeat: 46 / 7

Moving on to step 4:
When dividing 46 by 7, we get 6 with a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 956.0
The remainder is 4 after subtracting 42 from 46.
Include the next digit (8) from the dividend after 4, then repeat: 48 / 7

On to step 5:
7 can be fit into 48 6 times, resulting in a remainder of 6.
Record the quotient 6 as the next digit in the result. 
Result so far: 9566.0
Subtracting 42 from 48 leaves us with 6.
Append the next digit (8) from the dividend to 6 and continue with: 68 / 7

On to step 6:
When dividing 68 by 7, we get 9 with a remainder of 5.
The next digit of our result is 9. 
Result so far: 95669.0
Subtracting 63 from 68 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.

Let's proceed to step 7:
The number 7 fits into 50 7 times, leaving a remainder of 1.
The next digit of our result is 7. 
Result so far: 95669.7
If we subtract 49 from 50, 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.

On to step 8:
7 goes into 10 1 times with a remainder of 3.
Write down 1 as next digit of the result. 
Result so far: 95669.71
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.

Moving on to step 9:
7 goes into 30 4 times with a remainder of 2.
The number 4 becomes the next digit in our result. 
Result so far: 95669.714
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.

On to step 10:
7 goes into 20 2 times with a remainder of 6.
The number 2 becomes the next digit in our result. 
Result so far: 95669.7142
Subtracting 14 from 20 leaves us 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:
When dividing 60 by 7, we get 8 with a remainder of 4.
The number 8 becomes the next digit in our result. 
Result so far: 95669.71428
Subtract 56 from 60 to 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.

Going ahead to step 12:
7 goes into 40 5 times with a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 95669.714285
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.

Going ahead to step 13:
If we divide 50 by 7, we get 7 and a remainder of 1.
Use 7 as the next digit of our solution. 
Result so far: 95669.7142857
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.

Let's proceed to step 14:
7 can be fit into 10 1 times, resulting in a remainder of 3.
Use 1 as the next digit of our solution. 
Result so far: 95669.71428571
If we take 7 away from 10, we end up 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.

The final result is 95669.71428571 with a remainder of 3e-09.