We look at the division of 503166 by 84 
We're looking to find how many times 84 goes into 503166.

Going ahead to step 1:
If we divide 5 by 84, we get 0 and a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Fetch the next digit (0) from the dividend, attach it to 5 and continue: 50 / 84

Advancing to step 2:
84 goes into 50 0 times with a remainder of 50.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 50, we end up with 50.
Bring next digit (3) of the dividend behind the 50 and repeat the process: 503 / 84

Advancing to step 3:
If we divide 503 by 84, we get 5 and a remainder of 83.
The next digit of our result is 5. 
Result so far: 5.0
Deduct 420 from 503 and we're left with 83.
Include the next digit (1) from the dividend after 83, then repeat: 831 / 84

Let's proceed to step 4:
When dividing 831 by 84, we get 9 with a remainder of 75.
Use 9 as the next digit of our solution. 
Result so far: 59.0
Subtracting 756 from 831 leaves us with 75.
Include the next digit (6) from the dividend after 75, then repeat: 756 / 84

Advancing to step 5:
The number 84 fits into 756 9 times, leaving a remainder of 0.
Record the quotient 9 as the next digit in the result. 
Result so far: 599.0
Subtract 756 from 756 to get 0.
Include the next digit (6) from the dividend after 0, then repeat: 6 / 84

Advancing to step 6:
84 can be fit into 6 0 times, resulting in a remainder of 6.
The next digit of our result is 0. 
Result so far: 5990.0
If we take 0 away from 6, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 7:
The number 84 fits into 60 0 times, leaving a remainder of 60.
Record the quotient 0 as the next digit in the result. 
Result so far: 5990.0
Subtract 0 from 60 to get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

On to step 8:
If we divide 600 by 84, we get 7 and a remainder of 12.
Use 7 as the next digit of our solution. 
Result so far: 5990.07
If we subtract 588 from 600, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 9:
When dividing 120 by 84, we get 1 with a remainder of 36.
Record the quotient 1 as the next digit in the result. 
Result so far: 5990.071
Deduct 84 from 120 and we're left with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Going ahead to step 10:
The number 84 fits into 360 4 times, leaving a remainder of 24.
Use 4 as the next digit of our solution. 
Result so far: 5990.0714
Subtracting 336 from 360 leaves us with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Advancing to step 11:
The number 84 fits into 240 2 times, leaving a remainder of 72.
The next digit of our result is 2. 
Result so far: 5990.07142
If we subtract 168 from 240, we get 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Step 12:
If we divide 720 by 84, we get 8 and a remainder of 48.
Write down 8 as next digit of the result. 
Result so far: 5990.071428
The remainder is 48 after subtracting 672 from 720.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Advancing to step 13:
480 divided by 84 is 5 with a remainder of 60.
Use 5 as the next digit of our solution. 
Result so far: 5990.0714285
If we take 420 away from 480, we end up with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Step 14:
If we divide 600 by 84, we get 7 and a remainder of 12.
The next digit of our result is 7. 
Result so far: 5990.07142857
The remainder is 12 after subtracting 588 from 600.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

In conclusion, the division gives 5990.07142857 with a balance of 1.2e-08.