105786 ÷ 26 
We want to figure out the number of times 105786 can be divided by 26.

On to step 1:
1 divided by 26 is 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 26

Let's proceed to step 2:
When dividing 10 by 26, we get 0 with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 10, we get 10.
Grab the next digit (5) from the dividend, add it to 10, then carry on: 105 / 26

Advancing to step 3:
The number 26 fits into 105 4 times, leaving a remainder of 1.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
The remainder is 1 after subtracting 104 from 105.
Take the next digit (7) from the dividend and append it to 1, then repeat: 17 / 26

Let's proceed to step 4:
When dividing 17 by 26, we get 0 with a remainder of 17.
Record the quotient 0 as the next digit in the result. 
Result so far: 40.0
If we take 0 away from 17, we end up with 17.
Append the next digit (8) from the dividend to 17 and continue with: 178 / 26

Advancing to step 5:
When dividing 178 by 26, we get 6 with a remainder of 22.
Put 6 as the next digit of the answer. 
Result so far: 406.0
Subtracting 156 from 178 leaves us with 22.
Include the next digit (6) from the dividend after 22, then repeat: 226 / 26

Going ahead to step 6:
26 goes into 226 8 times with a remainder of 18.
The number 8 becomes the next digit in our result. 
Result so far: 4068.0
If we take 208 away from 226, we end up with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Going ahead to step 7:
26 can be fit into 180 6 times, resulting in a remainder of 24.
Put 6 as the next digit of the answer. 
Result so far: 4068.6
The remainder is 24 after subtracting 156 from 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Going ahead to step 8:
If we divide 240 by 26, we get 9 and a remainder of 6.
The next digit of our result is 9. 
Result so far: 4068.69
If we subtract 234 from 240, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 9:
The number 26 fits into 60 2 times, leaving a remainder of 8.
Record the quotient 2 as the next digit in the result. 
Result so far: 4068.692
Subtract 52 from 60 to get 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 10:
26 goes into 80 3 times with a remainder of 2.
Put 3 as the next digit of the answer. 
Result so far: 4068.6923
Deduct 78 from 80 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 11:
If we divide 20 by 26, we get 0 and a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 4068.6923
The remainder is 20 after subtracting 0 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 12:
26 can be fit into 200 7 times, resulting in a remainder of 18.
The next digit of our result is 7. 
Result so far: 4068.692307
Subtracting 182 from 200 leaves us with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Going ahead to step 13:
The number 26 fits into 180 6 times, leaving a remainder of 24.
Record the quotient 6 as the next digit in the result. 
Result so far: 4068.6923076
If we subtract 156 from 180, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

On to step 14:
26 can be fit into 240 9 times, resulting in a remainder of 6.
Put 9 as the next digit of the answer. 
Result so far: 4068.69230769
Subtract 234 from 240 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

The quotient of the division is 4068.69230769, and the remainder is 6e-09.