Let's divide 25719 by 16
We want to figure out the number of times 25719 can be divided by 16.

Step 1:
When dividing 2 by 16, we get 0 with a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Append the next digit (5) from the dividend to 2 and continue with: 25 / 16

Step 2:
16 goes into 25 1 times with a remainder of 9.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtract 16 from 25 to get 9.
Include the next digit (7) from the dividend after 9, then repeat: 97 / 16

Let's proceed to step 3:
The number 16 fits into 97 6 times, leaving a remainder of 1.
Put 6 as the next digit of the answer. 
Result so far: 16.0
Subtracting 96 from 97 leaves us with 1.
Grab the next digit (1) from the dividend, add it to 1, then carry on: 11 / 16

Going ahead to step 4:
The number 16 fits into 11 0 times, leaving a remainder of 11.
Record the quotient 0 as the next digit in the result. 
Result so far: 160.0
Deduct 0 from 11 and we're left with 11.
Fetch the next digit (9) from the dividend, attach it to 11 and continue: 119 / 16

Going ahead to step 5:
The number 16 fits into 119 7 times, leaving a remainder of 7.
The number 7 becomes the next digit in our result. 
Result so far: 1607.0
Subtracting 112 from 119 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 6:
The number 16 fits into 70 4 times, leaving a remainder of 6.
Use 4 as the next digit of our solution. 
Result so far: 1607.4
Deduct 64 from 70 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 7:
If we divide 60 by 16, we get 3 and a remainder of 12.
The number 3 becomes the next digit in our result. 
Result so far: 1607.43
Subtract 48 from 60 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 8:
120 divided by 16 is 7 with a remainder of 8.
The number 7 becomes the next digit in our result. 
Result so far: 1607.437
Subtracting 112 from 120 leaves us 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:
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: 1607.4375
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.

Going ahead to step 10:
0 divided by 16 is 0 with a remainder of 0.
The next digit of our result is 0. 
Result so far: 1607.4375
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.

Step 11:
0 divided by 16 is 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 1607.4375
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.

After the division, we end up with 1607.4375 and a remainder of 0.0.