We look at the division of 513335 by 84 
Let's see how many times 84 fits into 513335.

Step 1:
The number 84 fits into 5 0 times, leaving a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Grab the next digit (1) from the dividend, add it to 5, then carry on: 51 / 84

Advancing to step 2:
The number 84 fits into 51 0 times, leaving a remainder of 51.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 51, we end up with 51.
Fetch the next digit (3) from the dividend, attach it to 51 and continue: 513 / 84

Step 3:
84 goes into 513 6 times with a remainder of 9.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
Subtract 504 from 513 to get 9.
Include the next digit (3) from the dividend after 9, then repeat: 93 / 84

Let's proceed to step 4:
84 can be fit into 93 1 times, resulting in a remainder of 9.
Use 1 as the next digit of our solution. 
Result so far: 61.0
Subtracting 84 from 93 leaves us with 9.
Append the next digit (3) from the dividend to 9 and continue with: 93 / 84

On to step 5:
When dividing 93 by 84, we get 1 with a remainder of 9.
The number 1 becomes the next digit in our result. 
Result so far: 611.0
Deduct 84 from 93 and we're left with 9.
Bring next digit (5) of the dividend behind the 9 and repeat the process: 95 / 84

On to step 6:
When dividing 95 by 84, we get 1 with a remainder of 11.
Record the quotient 1 as the next digit in the result. 
Result so far: 6111.0
Deduct 84 from 95 and we're left with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Step 7:
110 divided by 84 is 1 with a remainder of 26.
Use 1 as the next digit of our solution. 
Result so far: 6111.1
Subtract 84 from 110 to get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Let's proceed to step 8:
The number 84 fits into 260 3 times, leaving a remainder of 8.
Record the quotient 3 as the next digit in the result. 
Result so far: 6111.13
If we take 252 away from 260, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 9:
80 divided by 84 is 0 with a remainder of 80.
Record the quotient 0 as the next digit in the result. 
Result so far: 6111.13
Subtracting 0 from 80 leaves us with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Advancing to step 10:
84 goes into 800 9 times with a remainder of 44.
Record the quotient 9 as the next digit in the result. 
Result so far: 6111.1309
The remainder is 44 after subtracting 756 from 800.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Going ahead to step 11:
440 divided by 84 is 5 with a remainder of 20.
Use 5 as the next digit of our solution. 
Result so far: 6111.13095
Subtracting 420 from 440 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 12:
When dividing 200 by 84, we get 2 with a remainder of 32.
Use 2 as the next digit of our solution. 
Result so far: 6111.130952
The remainder is 32 after subtracting 168 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Going ahead to step 13:
The number 84 fits into 320 3 times, leaving a remainder of 68.
Record the quotient 3 as the next digit in the result. 
Result so far: 6111.1309523
If we take 252 away from 320, we end up with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Step 14:
84 can be fit into 680 8 times, resulting in a remainder of 8.
Write down 8 as next digit of the result. 
Result so far: 6111.13095238
If we take 672 away from 680, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

The final outcome is 6111.13095238, with a leftover of 8e-09.