413127 ÷ 84 
Our goal is to divide 413127 by 84.

Let's proceed to step 1:
84 can be fit into 4 0 times, resulting in a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 84

Step 2:
When dividing 41 by 84, we get 0 with a remainder of 41.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 41 after subtracting 0 from 41.
Grab the next digit (3) from the dividend, add it to 41, then carry on: 413 / 84

Going ahead to step 3:
The number 84 fits into 413 4 times, leaving a remainder of 77.
Use 4 as the next digit of our solution. 
Result so far: 4.0
Deduct 336 from 413 and we're left with 77.
Include the next digit (1) from the dividend after 77, then repeat: 771 / 84

On to step 4:
The number 84 fits into 771 9 times, leaving a remainder of 15.
The number 9 becomes the next digit in our result. 
Result so far: 49.0
If we subtract 756 from 771, we get 15.
Append the next digit (2) from the dividend to 15 and continue with: 152 / 84

Moving on to step 5:
When dividing 152 by 84, we get 1 with a remainder of 68.
The next digit of our result is 1. 
Result so far: 491.0
Subtracting 84 from 152 leaves us with 68.
Append the next digit (7) from the dividend to 68 and continue with: 687 / 84

Step 6:
84 can be fit into 687 8 times, resulting in a remainder of 15.
Put 8 as the next digit of the answer. 
Result so far: 4918.0
Subtract 672 from 687 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 7:
When dividing 150 by 84, we get 1 with a remainder of 66.
Put 1 as the next digit of the answer. 
Result so far: 4918.1
If we take 84 away from 150, we end up with 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Moving on to step 8:
When dividing 660 by 84, we get 7 with a remainder of 72.
The next digit of our result is 7. 
Result so far: 4918.17
If we subtract 588 from 660, 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.

Moving on to step 9:
The number 84 fits into 720 8 times, leaving a remainder of 48.
Put 8 as the next digit of the answer. 
Result so far: 4918.178
If we take 672 away from 720, we end up with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Step 10:
84 can be fit into 480 5 times, resulting in a remainder of 60.
Record the quotient 5 as the next digit in the result. 
Result so far: 4918.1785
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.

Moving on to step 11:
600 divided by 84 is 7 with a remainder of 12.
The next digit of our result is 7. 
Result so far: 4918.17857
If we take 588 away from 600, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 12:
If we divide 120 by 84, we get 1 and a remainder of 36.
The number 1 becomes the next digit in our result. 
Result so far: 4918.178571
If we subtract 84 from 120, we get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Let's proceed to step 13:
If we divide 360 by 84, we get 4 and a remainder of 24.
The next digit of our result is 4. 
Result so far: 4918.1785714
Deduct 336 from 360 and we're left 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.

On to step 14:
When dividing 240 by 84, we get 2 with a remainder of 72.
Use 2 as the next digit of our solution. 
Result so far: 4918.17857142
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.

The quotient of the division is 4918.17857142, and the remainder is 7.2e-08.