16519 divided by 26 
We want to figure out the number of times 16519 can be divided by 26.

On to step 1:
The number 26 fits into 1 0 times, leaving a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Append the next digit (6) from the dividend to 1 and continue with: 16 / 26

Let's proceed to step 2:
26 can be fit into 16 0 times, resulting in a remainder of 16.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 16 to get 16.
Fetch the next digit (5) from the dividend, attach it to 16 and continue: 165 / 26

Advancing to step 3:
165 divided by 26 is 6 with a remainder of 9.
Use 6 as the next digit of our solution. 
Result so far: 6.0
If we take 156 away from 165, we end up with 9.
Append the next digit (1) from the dividend to 9 and continue with: 91 / 26

Moving on to step 4:
When dividing 91 by 26, we get 3 with a remainder of 13.
Use 3 as the next digit of our solution. 
Result so far: 63.0
If we subtract 78 from 91, we get 13.
Fetch the next digit (9) from the dividend, attach it to 13 and continue: 139 / 26

On to step 5:
139 divided by 26 is 5 with a remainder of 9.
Record the quotient 5 as the next digit in the result. 
Result so far: 635.0
Subtract 130 from 139 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Advancing to step 6:
When dividing 90 by 26, we get 3 with a remainder of 12.
The number 3 becomes the next digit in our result. 
Result so far: 635.3
Deduct 78 from 90 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 7:
When dividing 120 by 26, we get 4 with a remainder of 16.
Use 4 as the next digit of our solution. 
Result so far: 635.34
Subtract 104 from 120 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

On to step 8:
26 can be fit into 160 6 times, resulting in a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 635.346
If we take 156 away from 160, we end up 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.

Let's proceed to step 9:
26 can be fit into 40 1 times, resulting in a remainder of 14.
Write down 1 as next digit of the result. 
Result so far: 635.3461
Subtracting 26 from 40 leaves us with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Going ahead to step 10:
26 can be fit into 140 5 times, resulting in a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 635.34615
If we subtract 130 from 140, 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.

Going ahead to step 11:
26 goes into 100 3 times with a remainder of 22.
Use 3 as the next digit of our solution. 
Result so far: 635.346153
Deduct 78 from 100 and we're left with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Advancing to step 12:
26 can be fit into 220 8 times, resulting in a remainder of 12.
The next digit of our result is 8. 
Result so far: 635.3461538
Deduct 208 from 220 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 13:
26 can be fit into 120 4 times, resulting in a remainder of 16.
The next digit of our result is 4. 
Result so far: 635.34615384
The remainder is 16 after subtracting 104 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

The quotient of the division is 635.34615384, and the remainder is 1.6e-08.