We divide 135637 by 16
We want to divide 135637 by 16.

On to step 1:
If we divide 1 by 16, we get 0 and a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Fetch the next digit (3) from the dividend, attach it to 1 and continue: 13 / 16

On to step 2:
13 divided by 16 is 0 with a remainder of 13.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 13 to get 13.
Append the next digit (5) from the dividend to 13 and continue with: 135 / 16

Step 3:
135 divided by 16 is 8 with a remainder of 7.
Put 8 as the next digit of the answer. 
Result so far: 8.0
Subtract 128 from 135 to get 7.
Grab the next digit (6) from the dividend, add it to 7, then carry on: 76 / 16

Going ahead to step 4:
16 can be fit into 76 4 times, resulting in a remainder of 12.
Put 4 as the next digit of the answer. 
Result so far: 84.0
Subtracting 64 from 76 leaves us with 12.
Grab the next digit (3) from the dividend, add it to 12, then carry on: 123 / 16

Moving on to step 5:
16 can be fit into 123 7 times, resulting in a remainder of 11.
Put 7 as the next digit of the answer. 
Result so far: 847.0
If we take 112 away from 123, we end up with 11.
Fetch the next digit (7) from the dividend, attach it to 11 and continue: 117 / 16

Let's proceed to step 6:
The number 16 fits into 117 7 times, leaving a remainder of 5.
The number 7 becomes the next digit in our result. 
Result so far: 8477.0
If we take 112 away from 117, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 7:
When dividing 50 by 16, we get 3 with a remainder of 2.
Put 3 as the next digit of the answer. 
Result so far: 8477.3
Subtracting 48 from 50 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 8:
When dividing 20 by 16, we get 1 with a remainder of 4.
Put 1 as the next digit of the answer. 
Result so far: 8477.31
Deduct 16 from 20 and we're left 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.

Advancing to step 9:
16 can be fit into 40 2 times, resulting in a remainder of 8.
The next digit of our result is 2. 
Result so far: 8477.312
If we take 32 away from 40, we end up 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.

Let's proceed to step 10:
The number 16 fits into 80 5 times, leaving a remainder of 0.
Write down 5 as next digit of the result. 
Result so far: 8477.3125
Deduct 80 from 80 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 11:
When dividing 0 by 16, we get 0 with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 8477.3125
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.

Let's proceed to step 12:
The number 16 fits into 0 0 times, leaving a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 8477.3125
Subtracting 0 from 0 leaves us 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.

The final outcome is 8477.3125, with a leftover of 0.0.