We divide 135684 by 16
We're looking to find how many times 16 goes into 135684.

Moving on to step 1:
1 divided by 16 is 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Grab the next digit (3) from the dividend, add it to 1, then carry on: 13 / 16

Going ahead to step 2:
The number 16 fits into 13 0 times, leaving a remainder of 13.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 13, we get 13.
Append the next digit (5) from the dividend to 13 and continue with: 135 / 16

Advancing to step 3:
If we divide 135 by 16, we get 8 and a remainder of 7.
Put 8 as the next digit of the answer. 
Result so far: 8.0
If we subtract 128 from 135, we get 7.
Fetch the next digit (6) from the dividend, attach it to 7 and continue: 76 / 16

Moving on to step 4:
16 can be fit into 76 4 times, resulting in a remainder of 12.
Write down 4 as next digit of the result. 
Result so far: 84.0
Subtracting 64 from 76 leaves us with 12.
Take the next digit (8) from the dividend and append it to 12, then repeat: 128 / 16

Going ahead to step 5:
If we divide 128 by 16, we get 8 and a remainder of 0.
Write down 8 as next digit of the result. 
Result so far: 848.0
Subtracting 128 from 128 leaves us with 0.
Fetch the next digit (4) from the dividend, attach it to 0 and continue: 4 / 16

Advancing to step 6:
16 goes into 4 0 times with a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 8480.0
Subtracting 0 from 4 leaves us 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.

Step 7:
When dividing 40 by 16, we get 2 with a remainder of 8.
Put 2 as the next digit of the answer. 
Result so far: 8480.2
Subtracting 32 from 40 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 8:
If we divide 80 by 16, we get 5 and a remainder of 0.
Write down 5 as next digit of the result. 
Result so far: 8480.25
Subtract 80 from 80 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.

Step 9:
If we divide 0 by 16, we get 0 and a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 8480.25
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 10:
16 goes into 0 0 times with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 8480.25
Deduct 0 from 0 and we're left 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.

In conclusion, the division gives 8480.25 with a balance of 0.0.