We're dividing 174373 by 16 
We want to divide 174373 by 16.

Step 1:
When dividing 1 by 16, we get 0 with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Grab the next digit (7) from the dividend, add it to 1, then carry on: 17 / 16

Advancing to step 2:
16 goes into 17 1 times with a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtracting 16 from 17 leaves us with 1.
Bring next digit (4) of the dividend behind the 1 and repeat the process: 14 / 16

Moving on to step 3:
16 can be fit into 14 0 times, resulting in a remainder of 14.
Write down 0 as next digit of the result. 
Result so far: 10.0
Subtract 0 from 14 to get 14.
Take the next digit (3) from the dividend and append it to 14, then repeat: 143 / 16

On to step 4:
The number 16 fits into 143 8 times, leaving a remainder of 15.
The next digit of our result is 8. 
Result so far: 108.0
If we take 128 away from 143, we end up with 15.
Include the next digit (7) from the dividend after 15, then repeat: 157 / 16

Going ahead to step 5:
When dividing 157 by 16, we get 9 with a remainder of 13.
Put 9 as the next digit of the answer. 
Result so far: 1089.0
If we subtract 144 from 157, we get 13.
Take the next digit (3) from the dividend and append it to 13, then repeat: 133 / 16

Moving on to step 6:
16 can be fit into 133 8 times, resulting in a remainder of 5.
Put 8 as the next digit of the answer. 
Result so far: 10898.0
Subtracting 128 from 133 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 7:
16 can be fit into 50 3 times, resulting in a remainder of 2.
Use 3 as the next digit of our solution. 
Result so far: 10898.3
Subtracting 48 from 50 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 8:
16 can be fit into 20 1 times, resulting in a remainder of 4.
Record the quotient 1 as the next digit in the result. 
Result so far: 10898.31
The remainder is 4 after subtracting 16 from 20.
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 9:
40 divided by 16 is 2 with a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 10898.312
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.

Step 10:
16 goes into 80 5 times with a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 10898.3125
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.

Let's proceed to step 11:
16 goes into 0 0 times with a remainder of 0.
The next digit of our result is 0. 
Result so far: 10898.3125
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.

Step 12:
16 can be fit into 0 0 times, resulting in a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 10898.3125
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.

In conclusion, the division gives 10898.3125 with a balance of 0.0.