We look at the division of 766359 by 84 
We want to divide 766359 by 84.

Advancing to step 1:
If we divide 7 by 84, we get 0 and a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Grab the next digit (6) from the dividend, add it to 7, then carry on: 76 / 84

Going ahead to step 2:
When dividing 76 by 84, we get 0 with a remainder of 76.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 76 leaves us with 76.
Include the next digit (6) from the dividend after 76, then repeat: 766 / 84

Step 3:
766 divided by 84 is 9 with a remainder of 10.
Put 9 as the next digit of the answer. 
Result so far: 9.0
Deduct 756 from 766 and we're left with 10.
Bring next digit (3) of the dividend behind the 10 and repeat the process: 103 / 84

Advancing to step 4:
84 can be fit into 103 1 times, resulting in a remainder of 19.
Use 1 as the next digit of our solution. 
Result so far: 91.0
Subtract 84 from 103 to get 19.
Take the next digit (5) from the dividend and append it to 19, then repeat: 195 / 84

Going ahead to step 5:
When dividing 195 by 84, we get 2 with a remainder of 27.
Write down 2 as next digit of the result. 
Result so far: 912.0
If we subtract 168 from 195, we get 27.
Append the next digit (9) from the dividend to 27 and continue with: 279 / 84

Let's proceed to step 6:
84 goes into 279 3 times with a remainder of 27.
The next digit of our result is 3. 
Result so far: 9123.0
Subtract 252 from 279 to get 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Going ahead to step 7:
When dividing 270 by 84, we get 3 with a remainder of 18.
Write down 3 as next digit of the result. 
Result so far: 9123.3
Deduct 252 from 270 and we're left with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Let's proceed to step 8:
The number 84 fits into 180 2 times, leaving a remainder of 12.
The next digit of our result is 2. 
Result so far: 9123.32
Subtract 168 from 180 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 9:
The number 84 fits into 120 1 times, leaving a remainder of 36.
Use 1 as the next digit of our solution. 
Result so far: 9123.321
Deduct 84 from 120 and we're left with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Let's proceed to step 10:
84 goes into 360 4 times with a remainder of 24.
The number 4 becomes the next digit in our result. 
Result so far: 9123.3214
If we subtract 336 from 360, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

On to step 11:
If we divide 240 by 84, we get 2 and a remainder of 72.
Record the quotient 2 as the next digit in the result. 
Result so far: 9123.32142
Subtracting 168 from 240 leaves us with 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Step 12:
If we divide 720 by 84, we get 8 and a remainder of 48.
The number 8 becomes the next digit in our result. 
Result so far: 9123.321428
Subtracting 672 from 720 leaves us with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Moving on to step 13:
When dividing 480 by 84, we get 5 with a remainder of 60.
The number 5 becomes the next digit in our result. 
Result so far: 9123.3214285
If we take 420 away from 480, we end up with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Let's proceed to step 14:
84 can be fit into 600 7 times, resulting in a remainder of 12.
The number 7 becomes the next digit in our result. 
Result so far: 9123.32142857
The remainder is 12 after subtracting 588 from 600.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

In conclusion, the division gives 9123.32142857 with a balance of 1.2e-08.