415417 ÷ 84 
Our goal is to divide 415417 by 84.

On to step 1:
The number 84 fits into 4 0 times, leaving a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Append the next digit (1) from the dividend to 4 and continue with: 41 / 84

Moving on to step 2:
84 can be fit into 41 0 times, resulting in a remainder of 41.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 41, we get 41.
Append the next digit (5) from the dividend to 41 and continue with: 415 / 84

Moving on 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
Subtract 336 from 415 to get 79.
Take the next digit (4) from the dividend and append it to 79, then repeat: 794 / 84

Advancing to step 4:
84 can be fit into 794 9 times, resulting in a remainder of 38.
Put 9 as the next digit of the answer. 
Result so far: 49.0
Subtract 756 from 794 to get 38.
Grab the next digit (1) from the dividend, add it to 38, then carry on: 381 / 84

On to step 5:
381 divided by 84 is 4 with a remainder of 45.
The number 4 becomes the next digit in our result. 
Result so far: 494.0
If we take 336 away from 381, we end up with 45.
Take the next digit (7) from the dividend and append it to 45, then repeat: 457 / 84

On to step 6:
84 can be fit into 457 5 times, resulting in a remainder of 37.
Put 5 as the next digit of the answer. 
Result so far: 4945.0
Subtract 420 from 457 to get 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Step 7:
370 divided by 84 is 4 with a remainder of 34.
Use 4 as the next digit of our solution. 
Result so far: 4945.4
Deduct 336 from 370 and we're left with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

On to step 8:
84 can be fit into 340 4 times, resulting in a remainder of 4.
Write down 4 as next digit of the result. 
Result so far: 4945.44
If we take 336 away from 340, 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.

Our division results in 4945.44 with a remaining 0.004.