We look at the division of 171957 by 16 
We want to figure out the number of times 171957 can be divided by 16.

On to step 1:
If we divide 1 by 16, we get 0 and a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Append the next digit (7) from the dividend to 1 and continue with: 17 / 16

Let's proceed to step 2:
17 divided by 16 is 1 with a remainder of 1.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtracting 16 from 17 leaves us with 1.
Include the next digit (1) from the dividend after 1, then repeat: 11 / 16

Let's proceed to step 3:
11 divided by 16 is 0 with a remainder of 11.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
If we subtract 0 from 11, we get 11.
Append the next digit (9) from the dividend to 11 and continue with: 119 / 16

Going ahead to step 4:
16 can be fit into 119 7 times, resulting in a remainder of 7.
The next digit of our result is 7. 
Result so far: 107.0
Subtracting 112 from 119 leaves us with 7.
Take the next digit (5) from the dividend and append it to 7, then repeat: 75 / 16

Moving on to step 5:
If we divide 75 by 16, we get 4 and a remainder of 11.
The number 4 becomes the next digit in our result. 
Result so far: 1074.0
Deduct 64 from 75 and we're left with 11.
Bring next digit (7) of the dividend behind the 11 and repeat the process: 117 / 16

Step 6:
16 goes into 117 7 times with a remainder of 5.
Write down 7 as next digit of the result. 
Result so far: 10747.0
Subtract 112 from 117 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 7:
16 goes into 50 3 times with a remainder of 2.
Use 3 as the next digit of our solution. 
Result so far: 10747.3
Subtract 48 from 50 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 8:
16 goes into 20 1 times with a remainder of 4.
Record the quotient 1 as the next digit in the result. 
Result so far: 10747.31
If we take 16 away from 20, 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.

Step 9:
If we divide 40 by 16, we get 2 and a remainder of 8.
Write down 2 as next digit of the result. 
Result so far: 10747.312
Subtract 32 from 40 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.

Going ahead 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: 10747.3125
Deduct 80 from 80 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 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: 10747.3125
If we subtract 0 from 0, 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.

Moving on to step 12:
When dividing 0 by 16, we get 0 with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 10747.3125
Subtract 0 from 0 to 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.

After the division, we end up with 10747.3125 and a remainder of 0.0.