We're dividing 768997 by 7 
We want to divide 768997 by 7.

Step 1:
7 can be fit into 7 1 times, resulting in a remainder of 0.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtract 7 from 7 to get 0.
Include the next digit (6) from the dividend after 0, then repeat: 6 / 7

Let's proceed to step 2:
6 divided by 7 is 0 with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
The remainder is 6 after subtracting 0 from 6.
Include the next digit (8) from the dividend after 6, then repeat: 68 / 7

Going ahead to step 3:
When dividing 68 by 7, we get 9 with a remainder of 5.
Record the quotient 9 as the next digit in the result. 
Result so far: 109.0
If we take 63 away from 68, we end up with 5.
Include the next digit (9) from the dividend after 5, then repeat: 59 / 7

Moving on to step 4:
7 goes into 59 8 times with a remainder of 3.
The number 8 becomes the next digit in our result. 
Result so far: 1098.0
If we take 56 away from 59, we end up with 3.
Fetch the next digit (9) from the dividend, attach it to 3 and continue: 39 / 7

On to step 5:
7 can be fit into 39 5 times, resulting in a remainder of 4.
Put 5 as the next digit of the answer. 
Result so far: 10985.0
Subtracting 35 from 39 leaves us with 4.
Include the next digit (7) from the dividend after 4, then repeat: 47 / 7

On to step 6:
If we divide 47 by 7, we get 6 and a remainder of 5.
Use 6 as the next digit of our solution. 
Result so far: 109856.0
If we take 42 away from 47, 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.

Advancing to step 7:
7 can be fit into 50 7 times, resulting in a remainder of 1.
Put 7 as the next digit of the answer. 
Result so far: 109856.7
If we take 49 away from 50, we end up 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.

Going ahead to step 8:
10 divided by 7 is 1 with a remainder of 3.
The number 1 becomes the next digit in our result. 
Result so far: 109856.71
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.

Step 9:
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: 109856.714
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.

Step 10:
20 divided by 7 is 2 with a remainder of 6.
The number 2 becomes the next digit in our result. 
Result so far: 109856.7142
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.

Going ahead to step 11:
The number 7 fits into 60 8 times, leaving a remainder of 4.
Record the quotient 8 as the next digit in the result. 
Result so far: 109856.71428
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 12:
When dividing 40 by 7, we get 5 with a remainder of 5.
The next digit of our result is 5. 
Result so far: 109856.714285
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.

Advancing to step 13:
7 goes into 50 7 times with a remainder of 1.
Record the quotient 7 as the next digit in the result. 
Result so far: 109856.7142857
If we take 49 away from 50, we end up 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.

Step 14:
7 goes into 10 1 times with a remainder of 3.
The number 1 becomes the next digit in our result. 
Result so far: 109856.71428571
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.

The final result is 109856.71428571 with a remainder of 3e-09.