We're dividing 814172 by 84 
Our goal is to divide 814172 by 84.

Going ahead to step 1:
84 goes into 8 0 times with a remainder of 8.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 8 to get 8.
Include the next digit (1) from the dividend after 8, then repeat: 81 / 84

Advancing to step 2:
84 can be fit into 81 0 times, resulting in a remainder of 81.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 81 to get 81.
Include the next digit (4) from the dividend after 81, then repeat: 814 / 84

Advancing to step 3:
When dividing 814 by 84, we get 9 with a remainder of 58.
Use 9 as the next digit of our solution. 
Result so far: 9.0
Subtracting 756 from 814 leaves us with 58.
Include the next digit (1) from the dividend after 58, then repeat: 581 / 84

Advancing to step 4:
The number 84 fits into 581 6 times, leaving a remainder of 77.
Write down 6 as next digit of the result. 
Result so far: 96.0
Subtracting 504 from 581 leaves us with 77.
Take the next digit (7) from the dividend and append it to 77, then repeat: 777 / 84

Let's proceed to step 5:
84 can be fit into 777 9 times, resulting in a remainder of 21.
Write down 9 as next digit of the result. 
Result so far: 969.0
If we take 756 away from 777, we end up with 21.
Append the next digit (2) from the dividend to 21 and continue with: 212 / 84

Advancing to step 6:
84 goes into 212 2 times with a remainder of 44.
Put 2 as the next digit of the answer. 
Result so far: 9692.0
Subtract 168 from 212 to get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Advancing to step 7:
84 can be fit into 440 5 times, resulting in a remainder of 20.
Put 5 as the next digit of the answer. 
Result so far: 9692.5
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.

Advancing to step 8:
84 can be fit into 200 2 times, resulting in a remainder of 32.
Write down 2 as next digit of the result. 
Result so far: 9692.52
Subtract 168 from 200 to get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Step 9:
320 divided by 84 is 3 with a remainder of 68.
Record the quotient 3 as the next digit in the result. 
Result so far: 9692.523
Subtract 252 from 320 to get 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

On to step 10:
When dividing 680 by 84, we get 8 with a remainder of 8.
The number 8 becomes the next digit in our result. 
Result so far: 9692.5238
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.

Moving on to step 11:
When dividing 80 by 84, we get 0 with a remainder of 80.
The next digit of our result is 0. 
Result so far: 9692.5238
The remainder is 80 after subtracting 0 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Let's proceed to step 12:
The number 84 fits into 800 9 times, leaving a remainder of 44.
Write down 9 as next digit of the result. 
Result so far: 9692.523809
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 13:
When dividing 440 by 84, we get 5 with a remainder of 20.
Use 5 as the next digit of our solution. 
Result so far: 9692.5238095
Deduct 420 from 440 and we're left 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 14:
The number 84 fits into 200 2 times, leaving a remainder of 32.
Put 2 as the next digit of the answer. 
Result so far: 9692.52380952
If we take 168 away from 200, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

In conclusion, the division gives 9692.52380952 with a balance of 3.2e-08.