116325 ÷ 16 
Our goal is to divide 116325 by 16.

Moving 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
The remainder is 1 after subtracting 0 from 1.
Take the next digit (1) from the dividend and append it to 1, then repeat: 11 / 16

On to step 2:
16 goes into 11 0 times with a remainder of 11.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 11 and we're left with 11.
Grab the next digit (6) from the dividend, add it to 11, then carry on: 116 / 16

Step 3:
16 goes into 116 7 times with a remainder of 4.
The next digit of our result is 7. 
Result so far: 7.0
If we subtract 112 from 116, we get 4.
Take the next digit (3) from the dividend and append it to 4, then repeat: 43 / 16

Step 4:
16 can be fit into 43 2 times, resulting in a remainder of 11.
Use 2 as the next digit of our solution. 
Result so far: 72.0
If we subtract 32 from 43, we get 11.
Fetch the next digit (2) from the dividend, attach it to 11 and continue: 112 / 16

Let's proceed to step 5:
16 can be fit into 112 7 times, resulting in a remainder of 0.
Use 7 as the next digit of our solution. 
Result so far: 727.0
The remainder is 0 after subtracting 112 from 112.
Fetch the next digit (5) from the dividend, attach it to 0 and continue: 5 / 16

Let's proceed to step 6:
16 goes into 5 0 times with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 7270.0
The remainder is 5 after subtracting 0 from 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 7:
When dividing 50 by 16, we get 3 with a remainder of 2.
Write down 3 as next digit of the result. 
Result so far: 7270.3
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.

Advancing to step 8:
16 can be fit into 20 1 times, resulting in a remainder of 4.
Use 1 as the next digit of our solution. 
Result so far: 7270.31
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.

On to step 9:
The number 16 fits into 40 2 times, leaving a remainder of 8.
Record the quotient 2 as the next digit in the result. 
Result so far: 7270.312
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.

On to step 10:
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: 7270.3125
The remainder is 0 after subtracting 80 from 80.
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 11:
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: 7270.3125
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.

Let's proceed to step 12:
When dividing 0 by 16, we get 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 7270.3125
If we take 0 away from 0, 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.

In conclusion, the division gives 7270.3125 with a balance of 0.0.