We look at the division of 629865 by 84 
We want to divide 629865 by 84.

Going ahead to step 1:
When dividing 6 by 84, we get 0 with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Grab the next digit (2) from the dividend, add it to 6, then carry on: 62 / 84

Advancing to step 2:
84 goes into 62 0 times with a remainder of 62.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 62 leaves us with 62.
Bring next digit (9) of the dividend behind the 62 and repeat the process: 629 / 84

Going ahead to step 3:
629 divided by 84 is 7 with a remainder of 41.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
Deduct 588 from 629 and we're left with 41.
Append the next digit (8) from the dividend to 41 and continue with: 418 / 84

On to step 4:
84 can be fit into 418 4 times, resulting in a remainder of 82.
The number 4 becomes the next digit in our result. 
Result so far: 74.0
If we take 336 away from 418, we end up with 82.
Include the next digit (6) from the dividend after 82, then repeat: 826 / 84

Step 5:
84 goes into 826 9 times with a remainder of 70.
Use 9 as the next digit of our solution. 
Result so far: 749.0
If we subtract 756 from 826, we get 70.
Include the next digit (5) from the dividend after 70, then repeat: 705 / 84

Moving on to step 6:
When dividing 705 by 84, we get 8 with a remainder of 33.
The number 8 becomes the next digit in our result. 
Result so far: 7498.0
Subtract 672 from 705 to get 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Advancing to step 7:
330 divided by 84 is 3 with a remainder of 78.
Use 3 as the next digit of our solution. 
Result so far: 7498.3
Subtracting 252 from 330 leaves us with 78.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

Going ahead to step 8:
If we divide 780 by 84, we get 9 and a remainder of 24.
Put 9 as the next digit of the answer. 
Result so far: 7498.39
Deduct 756 from 780 and we're left with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Let's proceed to step 9:
The number 84 fits into 240 2 times, leaving a remainder of 72.
The next digit of our result is 2. 
Result so far: 7498.392
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.

On to step 10:
84 can be fit into 720 8 times, resulting in a remainder of 48.
The next digit of our result is 8. 
Result so far: 7498.3928
Subtract 672 from 720 to get 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Going ahead to step 11:
84 goes into 480 5 times with a remainder of 60.
Write down 5 as next digit of the result. 
Result so far: 7498.39285
Subtracting 420 from 480 leaves us 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.

Step 12:
The number 84 fits into 600 7 times, leaving a remainder of 12.
Record the quotient 7 as the next digit in the result. 
Result so far: 7498.392857
If we take 588 away from 600, we end up with 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 13:
84 can be fit into 120 1 times, resulting in a remainder of 36.
The number 1 becomes the next digit in our result. 
Result so far: 7498.3928571
If we subtract 84 from 120, we get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Going ahead to step 14:
84 can be fit into 360 4 times, resulting in a remainder of 24.
Put 4 as the next digit of the answer. 
Result so far: 7498.39285714
Subtract 336 from 360 to 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.

In conclusion, the division gives 7498.39285714 with a balance of 2.4e-08.