We're dividing 515641 by 26 
We want to figure out the number of times 515641 can be divided by 26.

On to step 1:
5 divided by 26 is 0 with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Include the next digit (1) from the dividend after 5, then repeat: 51 / 26

On to step 2:
The number 26 fits into 51 1 times, leaving a remainder of 25.
The next digit of our result is 1. 
Result so far: 1.0
Subtracting 26 from 51 leaves us with 25.
Grab the next digit (5) from the dividend, add it to 25, then carry on: 255 / 26

Let's proceed to step 3:
If we divide 255 by 26, we get 9 and a remainder of 21.
Write down 9 as next digit of the result. 
Result so far: 19.0
Subtracting 234 from 255 leaves us with 21.
Grab the next digit (6) from the dividend, add it to 21, then carry on: 216 / 26

Going ahead to step 4:
26 goes into 216 8 times with a remainder of 8.
Record the quotient 8 as the next digit in the result. 
Result so far: 198.0
If we subtract 208 from 216, we get 8.
Include the next digit (4) from the dividend after 8, then repeat: 84 / 26

Advancing to step 5:
The number 26 fits into 84 3 times, leaving a remainder of 6.
Use 3 as the next digit of our solution. 
Result so far: 1983.0
If we subtract 78 from 84, we get 6.
Include the next digit (1) from the dividend after 6, then repeat: 61 / 26

On to step 6:
26 goes into 61 2 times with a remainder of 9.
Write down 2 as next digit of the result. 
Result so far: 19832.0
If we subtract 52 from 61, we 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.

Let's proceed to step 7:
26 goes into 90 3 times with a remainder of 12.
Write down 3 as next digit of the result. 
Result so far: 19832.3
If we subtract 78 from 90, we 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.

On to step 8:
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: 19832.34
Deduct 104 from 120 and we're left 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 9:
The number 26 fits into 160 6 times, leaving a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 19832.346
If we subtract 156 from 160, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 10:
26 can be fit into 40 1 times, resulting in a remainder of 14.
Put 1 as the next digit of the answer. 
Result so far: 19832.3461
Deduct 26 from 40 and we're left 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.

Let's proceed to step 11:
When dividing 140 by 26, we get 5 with a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 19832.34615
Subtract 130 from 140 to 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.

Advancing to step 12:
26 can be fit into 100 3 times, resulting in a remainder of 22.
Record the quotient 3 as the next digit in the result. 
Result so far: 19832.346153
If we take 78 away from 100, we end up 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 13:
The number 26 fits into 220 8 times, leaving a remainder of 12.
The next digit of our result is 8. 
Result so far: 19832.3461538
Subtract 208 from 220 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.

Going ahead to step 14:
26 goes into 120 4 times with a remainder of 16.
Write down 4 as next digit of the result. 
Result so far: 19832.34615384
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.

Our division results in 19832.34615384 with a remaining 1.6e-08.