We look at the division of 16416 by 25 
We're looking to find how many times 25 goes into 16416.

Moving on to step 1:
25 goes into 1 0 times with 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.
Grab the next digit (6) from the dividend, add it to 1, then carry on: 16 / 25

Advancing to step 2:
When dividing 16 by 25, we get 0 with a remainder of 16.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 16 after subtracting 0 from 16.
Bring next digit (4) of the dividend behind the 16 and repeat the process: 164 / 25

On to step 3:
164 divided by 25 is 6 with a remainder of 14.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
Deduct 150 from 164 and we're left with 14.
Grab the next digit (1) from the dividend, add it to 14, then carry on: 141 / 25

Step 4:
The number 25 fits into 141 5 times, leaving a remainder of 16.
Record the quotient 5 as the next digit in the result. 
Result so far: 65.0
The remainder is 16 after subtracting 125 from 141.
Fetch the next digit (6) from the dividend, attach it to 16 and continue: 166 / 25

Advancing to step 5:
166 divided by 25 is 6 with a remainder of 16.
Put 6 as the next digit of the answer. 
Result so far: 656.0
If we take 150 away from 166, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 6:
25 goes into 160 6 times with a remainder of 10.
Record the quotient 6 as the next digit in the result. 
Result so far: 656.6
If we subtract 150 from 160, we get 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 7:
When dividing 100 by 25, we get 4 with a remainder of 0.
Use 4 as the next digit of our solution. 
Result so far: 656.64
If we take 100 away from 100, 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.

On to step 8:
0 divided by 25 is 0 with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 656.64
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 9:
25 can be fit into 0 0 times, resulting in a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 656.64
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.

The final result is 656.64 with a remainder of 0.0.