We divide 769868 by 7
We want to figure out the number of times 769868 can be divided by 7.

Step 1:
If we divide 7 by 7, we get 1 and a remainder of 0.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we subtract 7 from 7, we get 0.
Include the next digit (6) from the dividend after 0, then repeat: 6 / 7

Advancing to step 2:
The number 7 fits into 6 0 times, leaving a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
If we subtract 0 from 6, we get 6.
Take the next digit (9) from the dividend and append it to 6, then repeat: 69 / 7

Step 3:
7 goes into 69 9 times with a remainder of 6.
Put 9 as the next digit of the answer. 
Result so far: 109.0
If we take 63 away from 69, we end up with 6.
Bring next digit (8) of the dividend behind the 6 and repeat the process: 68 / 7

Moving on to step 4:
If we divide 68 by 7, we get 9 and a remainder of 5.
Record the quotient 9 as the next digit in the result. 
Result so far: 1099.0
If we take 63 away from 68, we end up with 5.
Append the next digit (6) from the dividend to 5 and continue with: 56 / 7

Advancing to step 5:
56 divided by 7 is 8 with a remainder of 0.
The number 8 becomes the next digit in our result. 
Result so far: 10998.0
Subtracting 56 from 56 leaves us with 0.
Grab the next digit (8) from the dividend, add it to 0, then carry on: 8 / 7

Let's proceed to step 6:
If we divide 8 by 7, we get 1 and a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 109981.0
Deduct 7 from 8 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 7:
The number 7 fits into 10 1 times, leaving a remainder of 3.
Put 1 as the next digit of the answer. 
Result so far: 109981.1
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.

Let's proceed to step 8:
30 divided by 7 is 4 with a remainder of 2.
Record the quotient 4 as the next digit in the result. 
Result so far: 109981.14
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.

Step 9:
20 divided by 7 is 2 with a remainder of 6.
Write down 2 as next digit of the result. 
Result so far: 109981.142
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.

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: 109981.1428
If we subtract 56 from 60, we 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.

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: 109981.14285
If we subtract 35 from 40, we get 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 12:
The number 7 fits into 50 7 times, leaving a remainder of 1.
Record the quotient 7 as the next digit in the result. 
Result so far: 109981.142857
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:
7 can be fit into 10 1 times, resulting in a remainder of 3.
Record the quotient 1 as the next digit in the result. 
Result so far: 109981.1428571
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.

Moving on to step 14:
30 divided by 7 is 4 with a remainder of 2.
Put 4 as the next digit of the answer. 
Result so far: 109981.14285714
Deduct 28 from 30 and we're left 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.

The final result is 109981.14285714 with a remainder of 2e-09.