We look at the division of 66527 by 16 
We want to divide 66527 by 16.

Let's proceed to step 1:
If we divide 6 by 16, we get 0 and a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Take the next digit (6) from the dividend and append it to 6, then repeat: 66 / 16

On to step 2:
If we divide 66 by 16, we get 4 and a remainder of 2.
The next digit of our result is 4. 
Result so far: 4.0
Subtracting 64 from 66 leaves us with 2.
Grab the next digit (5) from the dividend, add it to 2, then carry on: 25 / 16

Let's proceed to step 3:
When dividing 25 by 16, we get 1 with a remainder of 9.
Put 1 as the next digit of the answer. 
Result so far: 41.0
Subtract 16 from 25 to get 9.
Include the next digit (2) from the dividend after 9, then repeat: 92 / 16

Let's proceed to step 4:
The number 16 fits into 92 5 times, leaving a remainder of 12.
Use 5 as the next digit of our solution. 
Result so far: 415.0
If we subtract 80 from 92, we get 12.
Bring next digit (7) of the dividend behind the 12 and repeat the process: 127 / 16

On to step 5:
16 can be fit into 127 7 times, resulting in a remainder of 15.
The next digit of our result is 7. 
Result so far: 4157.0
The remainder is 15 after subtracting 112 from 127.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Moving on to step 6:
When dividing 150 by 16, we get 9 with a remainder of 6.
Write down 9 as next digit of the result. 
Result so far: 4157.9
Subtracting 144 from 150 leaves us 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.

Advancing to step 7:
16 goes into 60 3 times with a remainder of 12.
Record the quotient 3 as the next digit in the result. 
Result so far: 4157.93
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.

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: 4157.937
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.

On to step 9:
When dividing 80 by 16, we get 5 with a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 4157.9375
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:
0 divided by 16 is 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 4157.9375
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.

Advancing to step 11:
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: 4157.9375
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.

Our division results in 4157.9375 with a remaining 0.0.