Let's divide 35815 by 16
We want to divide 35815 by 16.

Let's proceed to step 1:
When dividing 3 by 16, we get 0 with a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Grab the next digit (5) from the dividend, add it to 3, then carry on: 35 / 16

Step 2:
The number 16 fits into 35 2 times, leaving a remainder of 3.
Put 2 as the next digit of the answer. 
Result so far: 2.0
If we take 32 away from 35, we end up with 3.
Include the next digit (8) from the dividend after 3, then repeat: 38 / 16

Let's proceed to step 3:
When dividing 38 by 16, we get 2 with a remainder of 6.
Use 2 as the next digit of our solution. 
Result so far: 22.0
If we subtract 32 from 38, we get 6.
Grab the next digit (1) from the dividend, add it to 6, then carry on: 61 / 16

Advancing to step 4:
16 goes into 61 3 times with a remainder of 13.
Write down 3 as next digit of the result. 
Result so far: 223.0
Subtract 48 from 61 to get 13.
Take the next digit (5) from the dividend and append it to 13, then repeat: 135 / 16

On to step 5:
16 goes into 135 8 times with a remainder of 7.
Write down 8 as next digit of the result. 
Result so far: 2238.0
Subtracting 128 from 135 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.

Moving on to step 6:
16 can be fit into 70 4 times, resulting in a remainder of 6.
The number 4 becomes the next digit in our result. 
Result so far: 2238.4
If we take 64 away from 70, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 7:
The number 16 fits into 60 3 times, leaving a remainder of 12.
The number 3 becomes the next digit in our result. 
Result so far: 2238.43
If we take 48 away from 60, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 8:
16 goes into 120 7 times with a remainder of 8.
Write down 7 as next digit of the result. 
Result so far: 2238.437
Subtracting 112 from 120 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 9:
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: 2238.4375
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.

Let's proceed to step 10:
16 goes into 0 0 times with a remainder of 0.
The next digit of our result is 0. 
Result so far: 2238.4375
Subtract 0 from 0 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:
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: 2238.4375
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.

The final result is 2238.4375 with a remainder of 0.0.