768066 ÷ 7 
Our goal is to divide 768066 by 7.

On to step 1:
When dividing 7 by 7, we get 1 with a remainder of 0.
Write down 1 as next digit of the result. 
Result so far: 1.0
The remainder is 0 after subtracting 7 from 7.
Grab the next digit (6) from the dividend, add it to 0, then carry on: 6 / 7

Step 2:
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: 10.0
The remainder is 6 after subtracting 0 from 6.
Grab the next digit (8) from the dividend, add it to 6, then carry on: 68 / 7

Let's proceed to step 3:
7 goes into 68 9 times with a remainder of 5.
The number 9 becomes the next digit in our result. 
Result so far: 109.0
Subtract 63 from 68 to get 5.
Fetch the next digit (0) from the dividend, attach it to 5 and continue: 50 / 7

Advancing to step 4:
7 goes into 50 7 times with a remainder of 1.
The number 7 becomes the next digit in our result. 
Result so far: 1097.0
Deduct 49 from 50 and we're left with 1.
Bring next digit (6) of the dividend behind the 1 and repeat the process: 16 / 7

Going ahead to step 5:
If we divide 16 by 7, we get 2 and a remainder of 2.
Write down 2 as next digit of the result. 
Result so far: 10972.0
If we take 14 away from 16, we end up with 2.
Append the next digit (6) from the dividend to 2 and continue with: 26 / 7

Going ahead to step 6:
7 goes into 26 3 times with a remainder of 5.
The next digit of our result is 3. 
Result so far: 109723.0
Deduct 21 from 26 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 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: 109723.7
Subtracting 49 from 50 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.

Moving on to step 8:
If we divide 10 by 7, we get 1 and a remainder of 3.
Use 1 as the next digit of our solution. 
Result so far: 109723.71
If we subtract 7 from 10, we 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.

Going ahead to step 9:
If we divide 30 by 7, we get 4 and a remainder of 2.
Record the quotient 4 as the next digit in the result. 
Result so far: 109723.714
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.

Advancing to step 10:
20 divided by 7 is 2 with a remainder of 6.
Write down 2 as next digit of the result. 
Result so far: 109723.7142
If we subtract 14 from 20, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 11:
60 divided by 7 is 8 with a remainder of 4.
The number 8 becomes the next digit in our result. 
Result so far: 109723.71428
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.

Let's proceed to step 12:
40 divided by 7 is 5 with a remainder of 5.
The next digit of our result is 5. 
Result so far: 109723.714285
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.

Going ahead to step 13:
50 divided by 7 is 7 with a remainder of 1.
The next digit of our result is 7. 
Result so far: 109723.7142857
Subtracting 49 from 50 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.

Advancing to step 14:
7 goes into 10 1 times with a remainder of 3.
Put 1 as the next digit of the answer. 
Result so far: 109723.71428571
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.

Our division results in 109723.71428571 with a remaining 3e-09.