415408 ÷ 84 
We're looking to find how many times 84 goes into 415408.

On to step 1:
When dividing 4 by 84, we get 0 with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 84

Step 2:
If we divide 41 by 84, we get 0 and 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.
Append the next digit (5) from the dividend to 41 and continue with: 415 / 84

Advancing to step 3:
When dividing 415 by 84, we get 4 with a remainder of 79.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
If we subtract 336 from 415, we get 79.
Grab the next digit (4) from the dividend, add it to 79, then carry on: 794 / 84

Moving on to step 4:
84 goes into 794 9 times with a remainder of 38.
Write down 9 as next digit of the result. 
Result so far: 49.0
If we take 756 away from 794, we end up with 38.
Grab the next digit (0) from the dividend, add it to 38, then carry on: 380 / 84

Step 5:
If we divide 380 by 84, we get 4 and a remainder of 44.
Record the quotient 4 as the next digit in the result. 
Result so far: 494.0
Deduct 336 from 380 and we're left with 44.
Append the next digit (8) from the dividend to 44 and continue with: 448 / 84

Going ahead to step 6:
448 divided by 84 is 5 with a remainder of 28.
Use 5 as the next digit of our solution. 
Result so far: 4945.0
The remainder is 28 after subtracting 420 from 448.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

On to step 7:
The number 84 fits into 280 3 times, leaving a remainder of 28.
Record the quotient 3 as the next digit in the result. 
Result so far: 4945.3
If we subtract 252 from 280, we get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Going ahead to step 8:
84 goes into 280 3 times with a remainder of 28.
The number 3 becomes the next digit in our result. 
Result so far: 4945.33
If we subtract 252 from 280, we get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Our division results in 4945.33 with a remaining 0.028.