We look at the division of 524634 by 16 
We want to divide 524634 by 16.

Let's proceed to step 1:
When dividing 5 by 16, we get 0 with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Fetch the next digit (2) from the dividend, attach it to 5 and continue: 52 / 16

Advancing to step 2:
The number 16 fits into 52 3 times, leaving a remainder of 4.
The next digit of our result is 3. 
Result so far: 3.0
Deduct 48 from 52 and we're left with 4.
Bring next digit (4) of the dividend behind the 4 and repeat the process: 44 / 16

On to step 3:
The number 16 fits into 44 2 times, leaving a remainder of 12.
The number 2 becomes the next digit in our result. 
Result so far: 32.0
If we subtract 32 from 44, we get 12.
Bring next digit (6) of the dividend behind the 12 and repeat the process: 126 / 16

On to step 4:
The number 16 fits into 126 7 times, leaving a remainder of 14.
Write down 7 as next digit of the result. 
Result so far: 327.0
If we subtract 112 from 126, we get 14.
Include the next digit (3) from the dividend after 14, then repeat: 143 / 16

Step 5:
When dividing 143 by 16, we get 8 with a remainder of 15.
The next digit of our result is 8. 
Result so far: 3278.0
Subtracting 128 from 143 leaves us with 15.
Bring next digit (4) of the dividend behind the 15 and repeat the process: 154 / 16

Let's proceed to step 6:
If we divide 154 by 16, we get 9 and a remainder of 10.
Record the quotient 9 as the next digit in the result. 
Result so far: 32789.0
Subtracting 144 from 154 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 7:
The number 16 fits into 100 6 times, leaving a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 32789.6
If we take 96 away from 100, we end up 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 8:
16 goes into 40 2 times with a remainder of 8.
Put 2 as the next digit of the answer. 
Result so far: 32789.62
If we subtract 32 from 40, we 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.

Moving on to step 9:
16 goes into 80 5 times with a remainder of 0.
Put 5 as the next digit of the answer. 
Result so far: 32789.625
Subtracting 80 from 80 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.

On to step 10:
16 goes into 0 0 times with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 32789.625
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.

Going ahead to step 11:
The number 16 fits into 0 0 times, leaving a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 32789.625
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.

Our division results in 32789.625 with a remaining 0.0.