We're dividing 766369 by 10 
We want to divide 766369 by 10.

Advancing to step 1:
When dividing 7 by 10, we get 0 with a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Bring next digit (6) of the dividend behind the 7 and repeat the process: 76 / 10

Moving on to step 2:
The number 10 fits into 76 7 times, leaving a remainder of 6.
Put 7 as the next digit of the answer. 
Result so far: 7.0
Subtract 70 from 76 to get 6.
Fetch the next digit (6) from the dividend, attach it to 6 and continue: 66 / 10

On to step 3:
The number 10 fits into 66 6 times, leaving a remainder of 6.
The next digit of our result is 6. 
Result so far: 76.0
Deduct 60 from 66 and we're left with 6.
Append the next digit (3) from the dividend to 6 and continue with: 63 / 10

Moving on to step 4:
63 divided by 10 is 6 with a remainder of 3.
Use 6 as the next digit of our solution. 
Result so far: 766.0
If we subtract 60 from 63, we get 3.
Bring next digit (6) of the dividend behind the 3 and repeat the process: 36 / 10

On to step 5:
If we divide 36 by 10, we get 3 and a remainder of 6.
Record the quotient 3 as the next digit in the result. 
Result so far: 7663.0
Subtracting 30 from 36 leaves us with 6.
Grab the next digit (9) from the dividend, add it to 6, then carry on: 69 / 10

On to step 6:
10 can be fit into 69 6 times, resulting in a remainder of 9.
Write down 6 as next digit of the result. 
Result so far: 76636.0
If we take 60 away from 69, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 7:
90 divided by 10 is 9 with a remainder of 0.
Write down 9 as next digit of the result. 
Result so far: 76636.9
If we subtract 90 from 90, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 8:
10 can be fit into 0 0 times, resulting in a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 76636.9
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 9:
When dividing 0 by 10, we get 0 with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 76636.9
Deduct 0 from 0 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

In conclusion, the division gives 76636.9 with a balance of 0.0.