We look at the division of 826159 by 16 
We want to divide 826159 by 16.

Advancing to step 1:
The number 16 fits into 8 0 times, leaving a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 8 to get 8.
Grab the next digit (2) from the dividend, add it to 8, then carry on: 82 / 16

Advancing to step 2:
When dividing 82 by 16, we get 5 with a remainder of 2.
The next digit of our result is 5. 
Result so far: 5.0
Deduct 80 from 82 and we're left with 2.
Fetch the next digit (6) from the dividend, attach it to 2 and continue: 26 / 16

Let's proceed to step 3:
If we divide 26 by 16, we get 1 and a remainder of 10.
The next digit of our result is 1. 
Result so far: 51.0
If we take 16 away from 26, we end up with 10.
Bring next digit (1) of the dividend behind the 10 and repeat the process: 101 / 16

Step 4:
The number 16 fits into 101 6 times, leaving a remainder of 5.
Record the quotient 6 as the next digit in the result. 
Result so far: 516.0
Deduct 96 from 101 and we're left with 5.
Bring next digit (5) of the dividend behind the 5 and repeat the process: 55 / 16

Moving on to step 5:
When dividing 55 by 16, we get 3 with a remainder of 7.
Put 3 as the next digit of the answer. 
Result so far: 5163.0
If we take 48 away from 55, we end up with 7.
Include the next digit (9) from the dividend after 7, then repeat: 79 / 16

Step 6:
16 goes into 79 4 times with a remainder of 15.
Use 4 as the next digit of our solution. 
Result so far: 51634.0
If we subtract 64 from 79, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 7:
If we divide 150 by 16, we get 9 and a remainder of 6.
Record the quotient 9 as the next digit in the result. 
Result so far: 51634.9
The remainder is 6 after subtracting 144 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 8:
60 divided by 16 is 3 with a remainder of 12.
Use 3 as the next digit of our solution. 
Result so far: 51634.93
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.

Moving on to step 9:
When dividing 120 by 16, we get 7 with a remainder of 8.
Use 7 as the next digit of our solution. 
Result so far: 51634.937
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.

Step 10:
16 can be fit into 80 5 times, resulting in a remainder of 0.
Write down 5 as next digit of the result. 
Result so far: 51634.9375
If we subtract 80 from 80, we 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.
Write down 0 as next digit of the result. 
Result so far: 51634.9375
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.

Moving on to step 12:
When dividing 0 by 16, we get 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 51634.9375
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.

After the division, we end up with 51634.9375 and a remainder of 0.0.