We're dividing 251582 by 16 
Our goal is to divide 251582 by 16.

Step 1:
2 divided by 16 is 0 with a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Include the next digit (5) from the dividend after 2, then repeat: 25 / 16

Moving on to step 2:
When dividing 25 by 16, we get 1 with a remainder of 9.
Write down 1 as next digit of the result. 
Result so far: 1.0
Deduct 16 from 25 and we're left with 9.
Grab the next digit (1) from the dividend, add it to 9, then carry on: 91 / 16

Step 3:
16 can be fit into 91 5 times, resulting in a remainder of 11.
The number 5 becomes the next digit in our result. 
Result so far: 15.0
Subtracting 80 from 91 leaves us with 11.
Grab the next digit (5) from the dividend, add it to 11, then carry on: 115 / 16

Moving on to step 4:
When dividing 115 by 16, we get 7 with a remainder of 3.
Put 7 as the next digit of the answer. 
Result so far: 157.0
If we take 112 away from 115, we end up with 3.
Append the next digit (8) from the dividend to 3 and continue with: 38 / 16

Advancing to step 5:
The number 16 fits into 38 2 times, leaving a remainder of 6.
Put 2 as the next digit of the answer. 
Result so far: 1572.0
Deduct 32 from 38 and we're left with 6.
Grab the next digit (2) from the dividend, add it to 6, then carry on: 62 / 16

On to step 6:
If we divide 62 by 16, we get 3 and a remainder of 14.
The next digit of our result is 3. 
Result so far: 15723.0
The remainder is 14 after subtracting 48 from 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Going ahead to step 7:
16 goes into 140 8 times with a remainder of 12.
The next digit of our result is 8. 
Result so far: 15723.8
Subtract 128 from 140 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 8:
The number 16 fits into 120 7 times, leaving a remainder of 8.
The number 7 becomes the next digit in our result. 
Result so far: 15723.87
If we take 112 away from 120, 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.

On to step 9:
16 can be fit into 80 5 times, resulting in a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 15723.875
If we take 80 away from 80, we end up 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.

Moving on to step 10:
The number 16 fits into 0 0 times, leaving a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 15723.875
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.

Advancing to step 11:
16 goes into 0 0 times with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 15723.875
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.

After the division, we end up with 15723.875 and a remainder of 0.0.