We look at the division of 558245 by 84 
We want to figure out the number of times 558245 can be divided by 84.

Going ahead to step 1:
84 can be fit into 5 0 times, resulting in a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Fetch the next digit (5) from the dividend, attach it to 5 and continue: 55 / 84

Going ahead to step 2:
If we divide 55 by 84, we get 0 and a remainder of 55.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 55 and we're left with 55.
Take the next digit (8) from the dividend and append it to 55, then repeat: 558 / 84

Advancing to step 3:
558 divided by 84 is 6 with a remainder of 54.
The next digit of our result is 6. 
Result so far: 6.0
If we take 504 away from 558, we end up with 54.
Include the next digit (2) from the dividend after 54, then repeat: 542 / 84

Advancing to step 4:
When dividing 542 by 84, we get 6 with a remainder of 38.
Record the quotient 6 as the next digit in the result. 
Result so far: 66.0
Subtract 504 from 542 to get 38.
Grab the next digit (4) from the dividend, add it to 38, then carry on: 384 / 84

Moving on to step 5:
84 can be fit into 384 4 times, resulting in a remainder of 48.
Write down 4 as next digit of the result. 
Result so far: 664.0
Deduct 336 from 384 and we're left with 48.
Include the next digit (5) from the dividend after 48, then repeat: 485 / 84

Step 6:
When dividing 485 by 84, we get 5 with a remainder of 65.
Record the quotient 5 as the next digit in the result. 
Result so far: 6645.0
Subtracting 420 from 485 leaves us with 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

On to step 7:
84 can be fit into 650 7 times, resulting in a remainder of 62.
The next digit of our result is 7. 
Result so far: 6645.7
Deduct 588 from 650 and we're left with 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

On to step 8:
The number 84 fits into 620 7 times, leaving a remainder of 32.
The number 7 becomes the next digit in our result. 
Result so far: 6645.77
The remainder is 32 after subtracting 588 from 620.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

The final result is 6645.77 with a remainder of 0.032.