We look at the division of 412519 by 84 
We want to figure out the number of times 412519 can be divided by 84.

Step 1:
The number 84 fits into 4 0 times, leaving a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Append the next digit (1) from the dividend to 4 and continue with: 41 / 84

Step 2:
41 divided by 84 is 0 with a remainder of 41.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 41 to get 41.
Bring next digit (2) of the dividend behind the 41 and repeat the process: 412 / 84

On to step 3:
412 divided by 84 is 4 with a remainder of 76.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
Subtracting 336 from 412 leaves us with 76.
Include the next digit (5) from the dividend after 76, then repeat: 765 / 84

Moving on to step 4:
If we divide 765 by 84, we get 9 and a remainder of 9.
The next digit of our result is 9. 
Result so far: 49.0
If we subtract 756 from 765, we get 9.
Bring next digit (1) of the dividend behind the 9 and repeat the process: 91 / 84

Advancing to step 5:
91 divided by 84 is 1 with a remainder of 7.
Put 1 as the next digit of the answer. 
Result so far: 491.0
Subtracting 84 from 91 leaves us with 7.
Bring next digit (9) of the dividend behind the 7 and repeat the process: 79 / 84

Going ahead to step 6:
The number 84 fits into 79 0 times, leaving a remainder of 79.
The next digit of our result is 0. 
Result so far: 4910.0
Subtracting 0 from 79 leaves us with 79.
Since there are no more digits in the dividend, we add a zero to the remainder making it 790, and continue the process.

Moving on to step 7:
84 goes into 790 9 times with a remainder of 34.
Put 9 as the next digit of the answer. 
Result so far: 4910.9
The remainder is 34 after subtracting 756 from 790.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Let's proceed to step 8:
If we divide 340 by 84, we get 4 and a remainder of 4.
Write down 4 as next digit of the result. 
Result so far: 4910.94
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.

On to step 9:
If we divide 40 by 84, we get 0 and a remainder of 40.
Use 0 as the next digit of our solution. 
Result so far: 4910.94
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.

Advancing to step 10:
400 divided by 84 is 4 with a remainder of 64.
Use 4 as the next digit of our solution. 
Result so far: 4910.9404
Subtract 336 from 400 to 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.

Advancing to step 11:
640 divided by 84 is 7 with a remainder of 52.
Record the quotient 7 as the next digit in the result. 
Result so far: 4910.94047
The remainder is 52 after subtracting 588 from 640.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Step 12:
84 can be fit into 520 6 times, resulting in a remainder of 16.
Put 6 as the next digit of the answer. 
Result so far: 4910.940476
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.

Step 13:
84 goes into 160 1 times with a remainder of 76.
Write down 1 as next digit of the result. 
Result so far: 4910.9404761
Subtracting 84 from 160 leaves us with 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

On to step 14:
If we divide 760 by 84, we get 9 and a remainder of 4.
Put 9 as the next digit of the answer. 
Result so far: 4910.94047619
If we take 756 away from 760, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

In conclusion, the division gives 4910.94047619 with a balance of 4e-09.