We divide 669768 by 7
We're looking to find how many times 7 goes into 669768.

Going ahead to step 1:
The number 7 fits into 6 0 times, leaving a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 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.
Write down 9 as next digit of the result. 
Result so far: 9.0
The remainder is 3 after subtracting 63 from 66.
Grab the next digit (9) from the dividend, add it to 3, then carry on: 39 / 7

Moving on to step 3:
7 goes into 39 5 times with a remainder of 4.
Use 5 as the next digit of our solution. 
Result so far: 95.0
If we subtract 35 from 39, we get 4.
Bring next digit (7) of the dividend behind the 4 and repeat the process: 47 / 7

Going ahead to step 4:
When dividing 47 by 7, we get 6 with a remainder of 5.
Use 6 as the next digit of our solution. 
Result so far: 956.0
If we take 42 away from 47, we end up with 5.
Grab the next digit (6) from the dividend, add it to 5, then carry on: 56 / 7

Moving on to step 5:
7 goes into 56 8 times with a remainder of 0.
Write down 8 as next digit of the result. 
Result so far: 9568.0
Deduct 56 from 56 and we're left with 0.
Take the next digit (8) from the dividend and append it to 0, then repeat: 8 / 7

On to step 6:
When dividing 8 by 7, we get 1 with a remainder of 1.
Write down 1 as next digit of the result. 
Result so far: 95681.0
If we subtract 7 from 8, 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.

Let's proceed to step 7:
When dividing 10 by 7, we get 1 with a remainder of 3.
Put 1 as the next digit of the answer. 
Result so far: 95681.1
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.

Let's proceed to step 8:
30 divided by 7 is 4 with a remainder of 2.
The next digit of our result is 4. 
Result so far: 95681.14
If we subtract 28 from 30, we get 2.
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 9:
7 goes into 20 2 times with a remainder of 6.
The number 2 becomes the next digit in our result. 
Result so far: 95681.142
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.

Moving on to step 10:
60 divided by 7 is 8 with a remainder of 4.
Record the quotient 8 as the next digit in the result. 
Result so far: 95681.1428
The remainder is 4 after subtracting 56 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 11:
40 divided by 7 is 5 with a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 95681.14285
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 12:
If we divide 50 by 7, we get 7 and a remainder of 1.
The next digit of our result is 7. 
Result so far: 95681.142857
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 13:
The number 7 fits into 10 1 times, leaving a remainder of 3.
Use 1 as the next digit of our solution. 
Result so far: 95681.1428571
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.

Going ahead to step 14:
7 can be fit into 30 4 times, resulting in a remainder of 2.
The next digit of our result is 4. 
Result so far: 95681.14285714
Subtract 28 from 30 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

After the division, we end up with 95681.14285714 and a remainder of 2e-09.