We look at the division of 161738 by 16 
We want to divide 161738 by 16.

Advancing to step 1:
The number 16 fits into 1 0 times, leaving a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Include the next digit (6) from the dividend after 1, then repeat: 16 / 16

Moving on to step 2:
16 goes into 16 1 times with a remainder of 0.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Deduct 16 from 16 and we're left with 0.
Grab the next digit (1) from the dividend, add it to 0, then carry on: 1 / 16

On to step 3:
16 can be fit into 1 0 times, resulting in a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 10.0
Subtracting 0 from 1 leaves us with 1.
Bring next digit (7) of the dividend behind the 1 and repeat the process: 17 / 16

On to step 4:
When dividing 17 by 16, we get 1 with a remainder of 1.
Put 1 as the next digit of the answer. 
Result so far: 101.0
If we subtract 16 from 17, we get 1.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 16

On to step 5:
When dividing 13 by 16, we get 0 with a remainder of 13.
Write down 0 as next digit of the result. 
Result so far: 1010.0
The remainder is 13 after subtracting 0 from 13.
Append the next digit (8) from the dividend to 13 and continue with: 138 / 16

On to step 6:
16 goes into 138 8 times with a remainder of 10.
Write down 8 as next digit of the result. 
Result so far: 10108.0
Subtracting 128 from 138 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.
The number 6 becomes the next digit in our result. 
Result so far: 10108.6
Subtracting 96 from 100 leaves us 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 8:
The number 16 fits into 40 2 times, leaving a remainder of 8.
Put 2 as the next digit of the answer. 
Result so far: 10108.62
Deduct 32 from 40 and we're left 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.

Step 9:
If we divide 80 by 16, we get 5 and a remainder of 0.
Put 5 as the next digit of the answer. 
Result so far: 10108.625
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.

Let's proceed to step 10:
If we divide 0 by 16, we get 0 and a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 10108.625
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.

Let's proceed to step 11:
When dividing 0 by 16, we get 0 with a remainder of 0.
The next digit of our result is 0. 
Result so far: 10108.625
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.

The final outcome is 10108.625, with a leftover of 0.0.