415566 ÷ 84 
Let's see how many times 84 fits into 415566.

Advancing to step 1:
84 goes into 4 0 times with a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Take the next digit (1) from the dividend and append it to 4, then repeat: 41 / 84

Step 2:
84 goes into 41 0 times with a remainder of 41.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 41, we end up with 41.
Bring next digit (5) of the dividend behind the 41 and repeat the process: 415 / 84

Going ahead to step 3:
84 can be fit into 415 4 times, resulting in a remainder of 79.
The next digit of our result is 4. 
Result so far: 4.0
Deduct 336 from 415 and we're left with 79.
Take the next digit (5) from the dividend and append it to 79, then repeat: 795 / 84

Moving on to step 4:
795 divided by 84 is 9 with a remainder of 39.
Record the quotient 9 as the next digit in the result. 
Result so far: 49.0
If we take 756 away from 795, we end up with 39.
Append the next digit (6) from the dividend to 39 and continue with: 396 / 84

Step 5:
The number 84 fits into 396 4 times, leaving a remainder of 60.
Record the quotient 4 as the next digit in the result. 
Result so far: 494.0
Subtract 336 from 396 to get 60.
Fetch the next digit (6) from the dividend, attach it to 60 and continue: 606 / 84

On to step 6:
84 goes into 606 7 times with a remainder of 18.
Write down 7 as next digit of the result. 
Result so far: 4947.0
Deduct 588 from 606 and we're left with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Moving on to step 7:
When dividing 180 by 84, we get 2 with a remainder of 12.
Write down 2 as next digit of the result. 
Result so far: 4947.2
Subtract 168 from 180 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 8:
84 can be fit into 120 1 times, resulting in a remainder of 36.
The number 1 becomes the next digit in our result. 
Result so far: 4947.21
Subtract 84 from 120 to 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.

Going ahead to step 9:
84 goes into 360 4 times with a remainder of 24.
Put 4 as the next digit of the answer. 
Result so far: 4947.214
Subtract 336 from 360 to get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Let's proceed to step 10:
The number 84 fits into 240 2 times, leaving a remainder of 72.
Record the quotient 2 as the next digit in the result. 
Result so far: 4947.2142
Subtracting 168 from 240 leaves us with 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

On to step 11:
84 goes into 720 8 times with a remainder of 48.
The number 8 becomes the next digit in our result. 
Result so far: 4947.21428
Subtracting 672 from 720 leaves us 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.

Moving on to step 12:
84 goes into 480 5 times with a remainder of 60.
Put 5 as the next digit of the answer. 
Result so far: 4947.214285
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.

Step 13:
600 divided by 84 is 7 with a remainder of 12.
The number 7 becomes the next digit in our result. 
Result so far: 4947.2142857
The remainder is 12 after subtracting 588 from 600.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 14:
When dividing 120 by 84, we get 1 with a remainder of 36.
Record the quotient 1 as the next digit in the result. 
Result so far: 4947.21428571
If we take 84 away from 120, we end up with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

The final result is 4947.21428571 with a remainder of 3.6e-08.