We look at the division of 554587 by 84 
We're looking to find how many times 84 goes into 554587.

Advancing 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
Subtracting 0 from 5 leaves us with 5.
Take the next digit (5) from the dividend and append it to 5, then repeat: 55 / 84

Moving on 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
Subtract 0 from 55 to get 55.
Grab the next digit (4) from the dividend, add it to 55, then carry on: 554 / 84

Step 3:
When dividing 554 by 84, we get 6 with a remainder of 50.
Use 6 as the next digit of our solution. 
Result so far: 6.0
Subtract 504 from 554 to get 50.
Append the next digit (5) from the dividend to 50 and continue with: 505 / 84

Going ahead to step 4:
505 divided by 84 is 6 with a remainder of 1.
The next digit of our result is 6. 
Result so far: 66.0
If we subtract 504 from 505, we get 1.
Take the next digit (8) from the dividend and append it to 1, then repeat: 18 / 84

On to step 5:
84 can be fit into 18 0 times, resulting in a remainder of 18.
The next digit of our result is 0. 
Result so far: 660.0
If we take 0 away from 18, we end up with 18.
Grab the next digit (7) from the dividend, add it to 18, then carry on: 187 / 84

Step 6:
187 divided by 84 is 2 with a remainder of 19.
The next digit of our result is 2. 
Result so far: 6602.0
Deduct 168 from 187 and we're left with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

On to step 7:
84 can be fit into 190 2 times, resulting in a remainder of 22.
The next digit of our result is 2. 
Result so far: 6602.2
If we take 168 away from 190, we end up with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Moving on to step 8:
84 can be fit into 220 2 times, resulting in a remainder of 52.
The next digit of our result is 2. 
Result so far: 6602.22
The remainder is 52 after subtracting 168 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Our division results in 6602.22 with a remaining 0.052.