We're dividing 499366 by 84 
We're looking to find how many times 84 goes into 499366.

Step 1:
If we divide 4 by 84, we get 0 and a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Bring next digit (9) of the dividend behind the 4 and repeat the process: 49 / 84

On to step 2:
84 goes into 49 0 times with a remainder of 49.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 49 after subtracting 0 from 49.
Fetch the next digit (9) from the dividend, attach it to 49 and continue: 499 / 84

Let's proceed to step 3:
84 can be fit into 499 5 times, resulting in a remainder of 79.
The next digit of our result is 5. 
Result so far: 5.0
Subtracting 420 from 499 leaves us with 79.
Append the next digit (3) from the dividend to 79 and continue with: 793 / 84

Moving on to step 4:
793 divided by 84 is 9 with a remainder of 37.
The number 9 becomes the next digit in our result. 
Result so far: 59.0
If we take 756 away from 793, we end up with 37.
Grab the next digit (6) from the dividend, add it to 37, then carry on: 376 / 84

On to step 5:
When dividing 376 by 84, we get 4 with a remainder of 40.
Record the quotient 4 as the next digit in the result. 
Result so far: 594.0
Subtract 336 from 376 to get 40.
Append the next digit (6) from the dividend to 40 and continue with: 406 / 84

On to step 6:
When dividing 406 by 84, we get 4 with a remainder of 70.
Write down 4 as next digit of the result. 
Result so far: 5944.0
Deduct 336 from 406 and we're left with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Step 7:
The number 84 fits into 700 8 times, leaving a remainder of 28.
The next digit of our result is 8. 
Result so far: 5944.8
Subtract 672 from 700 to 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 8:
When dividing 280 by 84, we get 3 with a remainder of 28.
Record the quotient 3 as the next digit in the result. 
Result so far: 5944.83
Subtracting 252 from 280 leaves us 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.

On to step 9:
84 can be fit into 280 3 times, resulting in a remainder of 28.
Record the quotient 3 as the next digit in the result. 
Result so far: 5944.833
If we subtract 252 from 280, 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.

The final outcome is 5944.833, with a leftover of 0.0028.