We look at the division of 669663 by 7 
We want to divide 669663 by 7.

Let's proceed to step 1:
If we divide 6 by 7, we get 0 and a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Fetch the next digit (6) from the dividend, attach it to 6 and continue: 66 / 7

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
Subtracting 63 from 66 leaves us with 3.
Include the next digit (9) from the dividend after 3, then repeat: 39 / 7

Moving on to step 3:
When dividing 39 by 7, we get 5 with a remainder of 4.
The number 5 becomes the next digit in our result. 
Result so far: 95.0
Deduct 35 from 39 and we're left with 4.
Bring next digit (6) of the dividend behind the 4 and repeat the process: 46 / 7

Going ahead to step 4:
46 divided by 7 is 6 with a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 956.0
If we take 42 away from 46, we end up with 4.
Grab the next digit (6) from the dividend, add it to 4, then carry on: 46 / 7

Advancing to step 5:
If we divide 46 by 7, we get 6 and a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 9566.0
If we take 42 away from 46, we end up with 4.
Fetch the next digit (3) from the dividend, attach it to 4 and continue: 43 / 7

Advancing to step 6:
7 can be fit into 43 6 times, resulting in a remainder of 1.
Use 6 as the next digit of our solution. 
Result so far: 95666.0
Subtracting 42 from 43 leaves us 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 7:
If we divide 10 by 7, we get 1 and a remainder of 3.
Put 1 as the next digit of the answer. 
Result so far: 95666.1
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.

Going ahead to step 8:
If we divide 30 by 7, we get 4 and a remainder of 2.
The next digit of our result is 4. 
Result so far: 95666.14
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.

Moving on to step 9:
7 goes into 20 2 times with a remainder of 6.
Write down 2 as next digit of the result. 
Result so far: 95666.142
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 10:
60 divided by 7 is 8 with a remainder of 4.
Put 8 as the next digit of the answer. 
Result so far: 95666.1428
Subtracting 56 from 60 leaves us 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.

Step 11:
7 goes into 40 5 times with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 95666.14285
Subtracting 35 from 40 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.

Step 12:
50 divided by 7 is 7 with a remainder of 1.
The next digit of our result is 7. 
Result so far: 95666.142857
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 13:
The number 7 fits into 10 1 times, leaving a remainder of 3.
The number 1 becomes the next digit in our result. 
Result so far: 95666.1428571
Subtract 7 from 10 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 14:
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: 95666.14285714
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.

Our division results in 95666.14285714 with a remaining 2e-09.