We're dividing 162577 by 16 
We're looking to find how many times 16 goes into 162577.

Moving on to step 1:
The number 16 fits into 1 0 times, leaving a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Bring next digit (6) of the dividend behind the 1 and repeat the process: 16 / 16

On to step 2:
16 can be fit into 16 1 times, resulting in a remainder of 0.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtracting 16 from 16 leaves us with 0.
Take the next digit (2) from the dividend and append it to 0, then repeat: 2 / 16

On to step 3:
The number 16 fits into 2 0 times, leaving a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 10.0
If we subtract 0 from 2, we get 2.
Bring next digit (5) of the dividend behind the 2 and repeat the process: 25 / 16

Step 4:
The number 16 fits into 25 1 times, leaving a remainder of 9.
Record the quotient 1 as the next digit in the result. 
Result so far: 101.0
Subtract 16 from 25 to get 9.
Fetch the next digit (7) from the dividend, attach it to 9 and continue: 97 / 16

Going ahead to step 5:
16 goes into 97 6 times with a remainder of 1.
Record the quotient 6 as the next digit in the result. 
Result so far: 1016.0
Deduct 96 from 97 and we're left with 1.
Take the next digit (7) from the dividend and append it to 1, then repeat: 17 / 16

On to step 6:
If we divide 17 by 16, we get 1 and a remainder of 1.
The number 1 becomes the next digit in our result. 
Result so far: 10161.0
Subtracting 16 from 17 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 7:
10 divided by 16 is 0 with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 10161.0
If we take 0 away from 10, we end up 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.

Moving on to step 8:
16 can be fit into 100 6 times, resulting in a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 10161.06
If we subtract 96 from 100, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 9:
16 goes into 40 2 times with a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 10161.062
The remainder is 8 after subtracting 32 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 10:
When dividing 80 by 16, we get 5 with a remainder of 0.
Put 5 as the next digit of the answer. 
Result so far: 10161.0625
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 11:
If we divide 0 by 16, we get 0 and a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 10161.0625
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.

On to step 12:
The number 16 fits into 0 0 times, leaving a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 10161.0625
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 10161.0625 with a remainder of 0.0.