We're dividing 519638 by 84 
Our goal is to divide 519638 by 84.

On to 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.
Fetch the next digit (1) from the dividend, attach it to 5 and continue: 51 / 84

Let's proceed to step 2:
When dividing 51 by 84, we get 0 with a remainder of 51.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 51 and we're left with 51.
Bring next digit (9) of the dividend behind the 51 and repeat the process: 519 / 84

Step 3:
If we divide 519 by 84, we get 6 and a remainder of 15.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
Subtract 504 from 519 to get 15.
Bring next digit (6) of the dividend behind the 15 and repeat the process: 156 / 84

Moving on to step 4:
84 goes into 156 1 times with a remainder of 72.
The number 1 becomes the next digit in our result. 
Result so far: 61.0
Deduct 84 from 156 and we're left with 72.
Fetch the next digit (3) from the dividend, attach it to 72 and continue: 723 / 84

Step 5:
723 divided by 84 is 8 with a remainder of 51.
Put 8 as the next digit of the answer. 
Result so far: 618.0
If we subtract 672 from 723, we get 51.
Take the next digit (8) from the dividend and append it to 51, then repeat: 518 / 84

Let's proceed to step 6:
If we divide 518 by 84, we get 6 and a remainder of 14.
Record the quotient 6 as the next digit in the result. 
Result so far: 6186.0
The remainder is 14 after subtracting 504 from 518.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Let's proceed to step 7:
The number 84 fits into 140 1 times, leaving a remainder of 56.
The next digit of our result is 1. 
Result so far: 6186.1
If we take 84 away from 140, we end up 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.

Let's proceed to step 8:
560 divided by 84 is 6 with a remainder of 56.
The next digit of our result is 6. 
Result so far: 6186.16
If we take 504 away from 560, we end up 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 9:
84 goes into 560 6 times with a remainder of 56.
The next digit of our result is 6. 
Result so far: 6186.166
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 6186.166 with a remainder of 0.0056.