We're dividing 165417 by 84 
We're looking to find how many times 84 goes into 165417.

Step 1:
When dividing 1 by 84, we get 0 with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Take the next digit (6) from the dividend and append it to 1, then repeat: 16 / 84

On to step 2:
The number 84 fits into 16 0 times, leaving a remainder of 16.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 16 and we're left with 16.
Grab the next digit (5) from the dividend, add it to 16, then carry on: 165 / 84

Going ahead to step 3:
If we divide 165 by 84, we get 1 and a remainder of 81.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we subtract 84 from 165, we get 81.
Take the next digit (4) from the dividend and append it to 81, then repeat: 814 / 84

Step 4:
84 goes into 814 9 times with a remainder of 58.
Put 9 as the next digit of the answer. 
Result so far: 19.0
If we take 756 away from 814, we end up with 58.
Include the next digit (1) from the dividend after 58, then repeat: 581 / 84

On to step 5:
84 goes into 581 6 times with a remainder of 77.
The next digit of our result is 6. 
Result so far: 196.0
Deduct 504 from 581 and we're left with 77.
Include the next digit (7) from the dividend after 77, then repeat: 777 / 84

Step 6:
777 divided by 84 is 9 with a remainder of 21.
The number 9 becomes the next digit in our result. 
Result so far: 1969.0
Subtract 756 from 777 to get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Let's proceed to step 7:
If we divide 210 by 84, we get 2 and a remainder of 42.
The next digit of our result is 2. 
Result so far: 1969.2
If we take 168 away from 210, we end up with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Let's proceed to step 8:
420 divided by 84 is 5 with a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 1969.25
If we take 420 away from 420, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 9:
When dividing 0 by 84, we get 0 with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 1969.25
If we take 0 away from 0, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Moving on to step 10:
0 divided by 84 is 0 with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 1969.25
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final outcome is 1969.25, with a leftover of 0.0.