513190 ÷ 84 
We're looking to find how many times 84 goes into 513190.

Step 1:
84 can be fit into 5 0 times, resulting in a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Take the next digit (1) from the dividend and append it to 5, then repeat: 51 / 84

On to step 2:
The number 84 fits into 51 0 times, leaving a remainder of 51.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 51 after subtracting 0 from 51.
Take the next digit (3) from the dividend and append it to 51, then repeat: 513 / 84

Let's proceed to step 3:
84 can be fit into 513 6 times, resulting in a remainder of 9.
Write down 6 as next digit of the result. 
Result so far: 6.0
Deduct 504 from 513 and we're left with 9.
Fetch the next digit (1) from the dividend, attach it to 9 and continue: 91 / 84

Moving on to step 4:
84 goes into 91 1 times with a remainder of 7.
The number 1 becomes the next digit in our result. 
Result so far: 61.0
If we take 84 away from 91, we end up with 7.
Include the next digit (9) from the dividend after 7, then repeat: 79 / 84

Moving on to step 5:
84 goes into 79 0 times with a remainder of 79.
The number 0 becomes the next digit in our result. 
Result so far: 610.0
Subtracting 0 from 79 leaves us with 79.
Bring next digit (0) of the dividend behind the 79 and repeat the process: 790 / 84

Advancing to step 6:
84 can be fit into 790 9 times, resulting in a remainder of 34.
Use 9 as the next digit of our solution. 
Result so far: 6109.0
If we subtract 756 from 790, we get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Moving on to step 7:
84 can be fit into 340 4 times, resulting in a remainder of 4.
Put 4 as the next digit of the answer. 
Result so far: 6109.4
The remainder is 4 after subtracting 336 from 340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 8:
84 can be fit into 40 0 times, resulting in a remainder of 40.
Use 0 as the next digit of our solution. 
Result so far: 6109.4
Deduct 0 from 40 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Going ahead to step 9:
The number 84 fits into 400 4 times, leaving a remainder of 64.
Use 4 as the next digit of our solution. 
Result so far: 6109.404
If we subtract 336 from 400, we get 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Going ahead to step 10:
640 divided by 84 is 7 with a remainder of 52.
Use 7 as the next digit of our solution. 
Result so far: 6109.4047
If we take 588 away from 640, we end up with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Step 11:
84 can be fit into 520 6 times, resulting in a remainder of 16.
The next digit of our result is 6. 
Result so far: 6109.40476
If we take 504 away from 520, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

On to step 12:
84 goes into 160 1 times with a remainder of 76.
Write down 1 as next digit of the result. 
Result so far: 6109.404761
The remainder is 76 after subtracting 84 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Moving on to step 13:
The number 84 fits into 760 9 times, leaving a remainder of 4.
Use 9 as the next digit of our solution. 
Result so far: 6109.4047619
If we subtract 756 from 760, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 14:
84 can be fit into 40 0 times, resulting in a remainder of 40.
Record the quotient 0 as the next digit in the result. 
Result so far: 6109.4047619
Subtract 0 from 40 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

The final result is 6109.4047619 with a remainder of 4e-08.