We're dividing 578536 by 84 
Let's see how many times 84 fits into 578536.

Step 1:
When dividing 5 by 84, we get 0 with a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Include the next digit (7) from the dividend after 5, then repeat: 57 / 84

Step 2:
If we divide 57 by 84, we get 0 and a remainder of 57.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 57 to get 57.
Take the next digit (8) from the dividend and append it to 57, then repeat: 578 / 84

Let's proceed to step 3:
84 goes into 578 6 times with a remainder of 74.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
The remainder is 74 after subtracting 504 from 578.
Include the next digit (5) from the dividend after 74, then repeat: 745 / 84

Moving on to step 4:
If we divide 745 by 84, we get 8 and a remainder of 73.
Use 8 as the next digit of our solution. 
Result so far: 68.0
Subtracting 672 from 745 leaves us with 73.
Bring next digit (3) of the dividend behind the 73 and repeat the process: 733 / 84

On to step 5:
84 can be fit into 733 8 times, resulting in a remainder of 61.
Record the quotient 8 as the next digit in the result. 
Result so far: 688.0
Subtracting 672 from 733 leaves us with 61.
Grab the next digit (6) from the dividend, add it to 61, then carry on: 616 / 84

Advancing to step 6:
The number 84 fits into 616 7 times, leaving a remainder of 28.
Record the quotient 7 as the next digit in the result. 
Result so far: 6887.0
If we subtract 588 from 616, we get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Advancing to step 7:
If we divide 280 by 84, we get 3 and a remainder of 28.
Record the quotient 3 as the next digit in the result. 
Result so far: 6887.3
If we take 252 away from 280, we end up with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Moving on to step 8:
84 goes into 280 3 times with a remainder of 28.
The next digit of our result is 3. 
Result so far: 6887.33
Deduct 252 from 280 and we're left with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

In conclusion, the division gives 6887.33 with a balance of 0.028.