We divide 131639 by 16
Our goal is to divide 131639 by 16.

Step 1:
16 can be fit into 1 0 times, resulting in a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 16

Step 2:
If we divide 13 by 16, we get 0 and a remainder of 13.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 13, we get 13.
Grab the next digit (1) from the dividend, add it to 13, then carry on: 131 / 16

Moving on to step 3:
16 goes into 131 8 times with a remainder of 3.
Put 8 as the next digit of the answer. 
Result so far: 8.0
If we take 128 away from 131, we end up with 3.
Fetch the next digit (6) from the dividend, attach it to 3 and continue: 36 / 16

Advancing to step 4:
If we divide 36 by 16, we get 2 and a remainder of 4.
The next digit of our result is 2. 
Result so far: 82.0
If we take 32 away from 36, we end up with 4.
Append the next digit (3) from the dividend to 4 and continue with: 43 / 16

Step 5:
16 can be fit into 43 2 times, resulting in a remainder of 11.
Write down 2 as next digit of the result. 
Result so far: 822.0
Subtract 32 from 43 to get 11.
Grab the next digit (9) from the dividend, add it to 11, then carry on: 119 / 16

On to step 6:
119 divided by 16 is 7 with a remainder of 7.
Record the quotient 7 as the next digit in the result. 
Result so far: 8227.0
Subtracting 112 from 119 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 7:
16 can be fit into 70 4 times, resulting in a remainder of 6.
The next digit of our result is 4. 
Result so far: 8227.4
Subtract 64 from 70 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 8:
60 divided by 16 is 3 with a remainder of 12.
The next digit of our result is 3. 
Result so far: 8227.43
The remainder is 12 after subtracting 48 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 9:
16 can be fit into 120 7 times, resulting in a remainder of 8.
Put 7 as the next digit of the answer. 
Result so far: 8227.437
Subtract 112 from 120 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 10:
If we divide 80 by 16, we get 5 and a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 8227.4375
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 11:
16 goes into 0 0 times with a remainder of 0.
The next digit of our result is 0. 
Result so far: 8227.4375
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.

Step 12:
When dividing 0 by 16, we get 0 with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 8227.4375
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 8227.4375 with a balance of 0.0.