We're dividing 106384 by 81 
Our goal is to divide 106384 by 81.

On to step 1:
If we divide 1 by 81, we get 0 and a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 81

Step 2:
The number 81 fits into 10 0 times, leaving a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 10, we get 10.
Bring next digit (6) of the dividend behind the 10 and repeat the process: 106 / 81

Going ahead to step 3:
If we divide 106 by 81, we get 1 and a remainder of 25.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtract 81 from 106 to get 25.
Append the next digit (3) from the dividend to 25 and continue with: 253 / 81

Advancing to step 4:
81 goes into 253 3 times with a remainder of 10.
The next digit of our result is 3. 
Result so far: 13.0
If we subtract 243 from 253, we get 10.
Include the next digit (8) from the dividend after 10, then repeat: 108 / 81

Advancing to step 5:
81 can be fit into 108 1 times, resulting in a remainder of 27.
Put 1 as the next digit of the answer. 
Result so far: 131.0
Subtract 81 from 108 to get 27.
Fetch the next digit (4) from the dividend, attach it to 27 and continue: 274 / 81

Going ahead to step 6:
274 divided by 81 is 3 with a remainder of 31.
Write down 3 as next digit of the result. 
Result so far: 1313.0
Subtracting 243 from 274 leaves us with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Going ahead to step 7:
81 goes into 310 3 times with a remainder of 67.
Write down 3 as next digit of the result. 
Result so far: 1313.3
If we subtract 243 from 310, we get 67.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

On to step 8:
81 can be fit into 670 8 times, resulting in a remainder of 22.
Write down 8 as next digit of the result. 
Result so far: 1313.38
Subtracting 648 from 670 leaves us with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Moving on to step 9:
The number 81 fits into 220 2 times, leaving a remainder of 58.
Record the quotient 2 as the next digit in the result. 
Result so far: 1313.382
Deduct 162 from 220 and we're left with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Advancing to step 10:
580 divided by 81 is 7 with a remainder of 13.
Write down 7 as next digit of the result. 
Result so far: 1313.3827
The remainder is 13 after subtracting 567 from 580.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Moving on to step 11:
If we divide 130 by 81, we get 1 and a remainder of 49.
Use 1 as the next digit of our solution. 
Result so far: 1313.38271
Subtract 81 from 130 to get 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Moving on to step 12:
If we divide 490 by 81, we get 6 and a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 1313.382716
If we take 486 away from 490, 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.

Going ahead to step 13:
81 can be fit into 40 0 times, resulting in a remainder of 40.
The next digit of our result is 0. 
Result so far: 1313.382716
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.

Advancing to step 14:
When dividing 400 by 81, we get 4 with a remainder of 76.
Record the quotient 4 as the next digit in the result. 
Result so far: 1313.38271604
Deduct 324 from 400 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.

The final outcome is 1313.38271604, with a leftover of 7.6e-08.