We're dividing 165631 by 84 
Let's see how many times 84 fits into 165631.

Step 1:
84 goes into 1 0 times with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Include the next digit (6) from the dividend after 1, then repeat: 16 / 84

Step 2:
If we divide 16 by 84, we get 0 and a remainder of 16.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 16 to get 16.
Fetch the next digit (5) from the dividend, attach it to 16 and continue: 165 / 84

Advancing to step 3:
84 goes into 165 1 times with a remainder of 81.
The next digit of our result is 1. 
Result so far: 1.0
Subtracting 84 from 165 leaves us with 81.
Take the next digit (6) from the dividend and append it to 81, then repeat: 816 / 84

On to step 4:
When dividing 816 by 84, we get 9 with a remainder of 60.
Use 9 as the next digit of our solution. 
Result so far: 19.0
The remainder is 60 after subtracting 756 from 816.
Append the next digit (3) from the dividend to 60 and continue with: 603 / 84

Step 5:
84 can be fit into 603 7 times, resulting in a remainder of 15.
Write down 7 as next digit of the result. 
Result so far: 197.0
Subtracting 588 from 603 leaves us with 15.
Grab the next digit (1) from the dividend, add it to 15, then carry on: 151 / 84

Step 6:
84 can be fit into 151 1 times, resulting in a remainder of 67.
The next digit of our result is 1. 
Result so far: 1971.0
The remainder is 67 after subtracting 84 from 151.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

Step 7:
When dividing 670 by 84, we get 7 with a remainder of 82.
Use 7 as the next digit of our solution. 
Result so far: 1971.7
If we subtract 588 from 670, we get 82.
Since there are no more digits in the dividend, we add a zero to the remainder making it 820, and continue the process.

On to step 8:
The number 84 fits into 820 9 times, leaving a remainder of 64.
Use 9 as the next digit of our solution. 
Result so far: 1971.79
Subtracting 756 from 820 leaves us with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Let's proceed to step 9:
When dividing 640 by 84, we get 7 with a remainder of 52.
Write down 7 as next digit of the result. 
Result so far: 1971.797
If we take 588 away from 640, we end up with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Step 10:
520 divided by 84 is 6 with a remainder of 16.
The number 6 becomes the next digit in our result. 
Result so far: 1971.7976
The remainder is 16 after subtracting 504 from 520.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 11:
The number 84 fits into 160 1 times, leaving a remainder of 76.
The number 1 becomes the next digit in our result. 
Result so far: 1971.79761
Deduct 84 from 160 and we're left with 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Moving on to step 12:
When dividing 760 by 84, we get 9 with a remainder of 4.
The next digit of our result is 9. 
Result so far: 1971.797619
Subtract 756 from 760 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 13:
40 divided by 84 is 0 with a remainder of 40.
Write down 0 as next digit of the result. 
Result so far: 1971.797619
Subtracting 0 from 40 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Going ahead to step 14:
If we divide 400 by 84, we get 4 and a remainder of 64.
The next digit of our result is 4. 
Result so far: 1971.79761904
If we subtract 336 from 400, we get 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

In conclusion, the division gives 1971.79761904 with a balance of 6.4e-08.