We divide 578646 by 84
We're looking to find how many times 84 goes into 578646.

On to step 1:
When dividing 5 by 84, we get 0 with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Fetch the next digit (7) from the dividend, attach it to 5 and continue: 57 / 84

Advancing to step 2:
84 can be fit into 57 0 times, resulting in a remainder of 57.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 57 leaves us with 57.
Append the next digit (8) from the dividend to 57 and continue with: 578 / 84

Let's proceed to step 3:
The number 84 fits into 578 6 times, leaving a remainder of 74.
The next digit of our result is 6. 
Result so far: 6.0
Subtract 504 from 578 to get 74.
Include the next digit (6) from the dividend after 74, then repeat: 746 / 84

On to step 4:
746 divided by 84 is 8 with a remainder of 74.
Record the quotient 8 as the next digit in the result. 
Result so far: 68.0
If we subtract 672 from 746, we get 74.
Bring next digit (4) of the dividend behind the 74 and repeat the process: 744 / 84

Step 5:
When dividing 744 by 84, we get 8 with a remainder of 72.
Write down 8 as next digit of the result. 
Result so far: 688.0
If we subtract 672 from 744, we get 72.
Fetch the next digit (6) from the dividend, attach it to 72 and continue: 726 / 84

Step 6:
726 divided by 84 is 8 with a remainder of 54.
The number 8 becomes the next digit in our result. 
Result so far: 6888.0
Deduct 672 from 726 and we're left with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Advancing to step 7:
When dividing 540 by 84, we get 6 with a remainder of 36.
The number 6 becomes the next digit in our result. 
Result so far: 6888.6
If we take 504 away from 540, we end up 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.

Going ahead to step 8:
The number 84 fits into 360 4 times, leaving a remainder of 24.
The number 4 becomes the next digit in our result. 
Result so far: 6888.64
If we take 336 away from 360, we end up 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.

Step 9:
When dividing 240 by 84, we get 2 with a remainder of 72.
The number 2 becomes the next digit in our result. 
Result so far: 6888.642
Subtract 168 from 240 to get 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Going ahead to step 10:
The number 84 fits into 720 8 times, leaving a remainder of 48.
The number 8 becomes the next digit in our result. 
Result so far: 6888.6428
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.

On to step 11:
The number 84 fits into 480 5 times, leaving a remainder of 60.
Record the quotient 5 as the next digit in the result. 
Result so far: 6888.64285
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.

On to step 12:
84 goes into 600 7 times with a remainder of 12.
Put 7 as the next digit of the answer. 
Result so far: 6888.642857
Subtracting 588 from 600 leaves us 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.

Let's proceed to step 13:
When dividing 120 by 84, we get 1 with a remainder of 36.
Put 1 as the next digit of the answer. 
Result so far: 6888.6428571
If we take 84 away from 120, we end up 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.

Moving on to step 14:
The number 84 fits into 360 4 times, leaving a remainder of 24.
The number 4 becomes the next digit in our result. 
Result so far: 6888.64285714
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.

In conclusion, the division gives 6888.64285714 with a balance of 2.4e-08.