We look at the division of 768214 by 84 
We want to figure out the number of times 768214 can be divided by 84.

Step 1:
7 divided by 84 is 0 with a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Take the next digit (6) from the dividend and append it to 7, then repeat: 76 / 84

On to step 2:
If we divide 76 by 84, we get 0 and a remainder of 76.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 76 leaves us with 76.
Fetch the next digit (8) from the dividend, attach it to 76 and continue: 768 / 84

On to step 3:
The number 84 fits into 768 9 times, leaving a remainder of 12.
Put 9 as the next digit of the answer. 
Result so far: 9.0
Subtract 756 from 768 to get 12.
Bring next digit (2) of the dividend behind the 12 and repeat the process: 122 / 84

On to step 4:
When dividing 122 by 84, we get 1 with a remainder of 38.
The number 1 becomes the next digit in our result. 
Result so far: 91.0
The remainder is 38 after subtracting 84 from 122.
Include the next digit (1) from the dividend after 38, then repeat: 381 / 84

Advancing to step 5:
If we divide 381 by 84, we get 4 and a remainder of 45.
Write down 4 as next digit of the result. 
Result so far: 914.0
The remainder is 45 after subtracting 336 from 381.
Include the next digit (4) from the dividend after 45, then repeat: 454 / 84

On to step 6:
84 goes into 454 5 times with a remainder of 34.
Write down 5 as next digit of the result. 
Result so far: 9145.0
If we take 420 away from 454, we end up with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Going ahead to step 7:
When dividing 340 by 84, we get 4 with a remainder of 4.
The next digit of our result is 4. 
Result so far: 9145.4
Subtracting 336 from 340 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 8:
84 goes into 40 0 times with a remainder of 40.
Record the quotient 0 as the next digit in the result. 
Result so far: 9145.4
The remainder is 40 after subtracting 0 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 9:
When dividing 400 by 84, we get 4 with a remainder of 64.
Use 4 as the next digit of our solution. 
Result so far: 9145.404
If we subtract 336 from 400, we get 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

On to step 10:
84 can be fit into 640 7 times, resulting in a remainder of 52.
The number 7 becomes the next digit in our result. 
Result so far: 9145.4047
If we take 588 away from 640, we end up with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Advancing to step 11:
520 divided by 84 is 6 with a remainder of 16.
Write down 6 as next digit of the result. 
Result so far: 9145.40476
If we take 504 away from 520, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 12:
The number 84 fits into 160 1 times, leaving a remainder of 76.
The number 1 becomes the next digit in our result. 
Result so far: 9145.404761
Subtract 84 from 160 to get 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Step 13:
760 divided by 84 is 9 with a remainder of 4.
The number 9 becomes the next digit in our result. 
Result so far: 9145.4047619
If we subtract 756 from 760, 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.

Moving on to step 14:
40 divided by 84 is 0 with a remainder of 40.
The number 0 becomes the next digit in our result. 
Result so far: 9145.4047619
The remainder is 40 after subtracting 0 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

In conclusion, the division gives 9145.4047619 with a balance of 4e-08.