We're dividing 557228 by 84 
Let's see how many times 84 fits into 557228.

Advancing to step 1:
When dividing 5 by 84, we get 0 with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Take the next digit (5) from the dividend and append it to 5, then repeat: 55 / 84

On to step 2:
When dividing 55 by 84, we get 0 with a remainder of 55.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 55, we get 55.
Append the next digit (7) from the dividend to 55 and continue with: 557 / 84

Moving on to step 3:
84 can be fit into 557 6 times, resulting in a remainder of 53.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
Deduct 504 from 557 and we're left with 53.
Fetch the next digit (2) from the dividend, attach it to 53 and continue: 532 / 84

Step 4:
84 can be fit into 532 6 times, resulting in a remainder of 28.
Record the quotient 6 as the next digit in the result. 
Result so far: 66.0
Deduct 504 from 532 and we're left with 28.
Bring next digit (2) of the dividend behind the 28 and repeat the process: 282 / 84

Step 5:
When dividing 282 by 84, we get 3 with a remainder of 30.
Record the quotient 3 as the next digit in the result. 
Result so far: 663.0
Deduct 252 from 282 and we're left with 30.
Take the next digit (8) from the dividend and append it to 30, then repeat: 308 / 84

Step 6:
When dividing 308 by 84, we get 3 with a remainder of 56.
The number 3 becomes the next digit in our result. 
Result so far: 6633.0
Deduct 252 from 308 and we're left with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Advancing to step 7:
The number 84 fits into 560 6 times, leaving a remainder of 56.
The number 6 becomes the next digit in our result. 
Result so far: 6633.6
Subtract 504 from 560 to get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Step 8:
560 divided by 84 is 6 with a remainder of 56.
The number 6 becomes the next digit in our result. 
Result so far: 6633.66
The remainder is 56 after subtracting 504 from 560.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

The final result is 6633.66 with a remainder of 0.056.