We look at the division of 107566 by 26 
Our goal is to divide 107566 by 26.

Moving on to step 1:
When dividing 1 by 26, we get 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 26

Let's proceed to step 2:
The number 26 fits into 10 0 times, leaving a remainder of 10.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 10 to get 10.
Fetch the next digit (7) from the dividend, attach it to 10 and continue: 107 / 26

Step 3:
When dividing 107 by 26, we get 4 with a remainder of 3.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
Deduct 104 from 107 and we're left with 3.
Bring next digit (5) of the dividend behind the 3 and repeat the process: 35 / 26

Advancing to step 4:
When dividing 35 by 26, we get 1 with a remainder of 9.
Put 1 as the next digit of the answer. 
Result so far: 41.0
The remainder is 9 after subtracting 26 from 35.
Bring next digit (6) of the dividend behind the 9 and repeat the process: 96 / 26

Let's proceed to step 5:
The number 26 fits into 96 3 times, leaving a remainder of 18.
Write down 3 as next digit of the result. 
Result so far: 413.0
Subtracting 78 from 96 leaves us with 18.
Fetch the next digit (6) from the dividend, attach it to 18 and continue: 186 / 26

On to step 6:
When dividing 186 by 26, we get 7 with a remainder of 4.
Use 7 as the next digit of our solution. 
Result so far: 4137.0
If we subtract 182 from 186, 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.

Going ahead to step 7:
40 divided by 26 is 1 with a remainder of 14.
Use 1 as the next digit of our solution. 
Result so far: 4137.1
If we subtract 26 from 40, we get 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 8:
The number 26 fits into 140 5 times, leaving a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 4137.15
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.

Let's proceed to step 9:
100 divided by 26 is 3 with a remainder of 22.
The next digit of our result is 3. 
Result so far: 4137.153
Subtract 78 from 100 to get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Moving on to step 10:
220 divided by 26 is 8 with a remainder of 12.
Use 8 as the next digit of our solution. 
Result so far: 4137.1538
If we take 208 away from 220, we end up 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 11:
If we divide 120 by 26, we get 4 and a remainder of 16.
The next digit of our result is 4. 
Result so far: 4137.15384
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.

Going ahead to step 12:
26 goes into 160 6 times with a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 4137.153846
Subtract 156 from 160 to 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 13:
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: 4137.1538461
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 14:
26 can be fit into 140 5 times, resulting in a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 4137.15384615
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.

The final result is 4137.15384615 with a remainder of 1e-08.