116586 divided by 26 
Let's see how many times 26 fits into 116586.

Step 1:
26 can be fit into 1 0 times, resulting in 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.
Include the next digit (1) from the dividend after 1, then repeat: 11 / 26

Going ahead to step 2:
26 can be fit into 11 0 times, resulting in a remainder of 11.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 11 to get 11.
Grab the next digit (6) from the dividend, add it to 11, then carry on: 116 / 26

Going ahead to step 3:
26 goes into 116 4 times with a remainder of 12.
Put 4 as the next digit of the answer. 
Result so far: 4.0
Subtracting 104 from 116 leaves us with 12.
Take the next digit (5) from the dividend and append it to 12, then repeat: 125 / 26

Going ahead to step 4:
125 divided by 26 is 4 with a remainder of 21.
Write down 4 as next digit of the result. 
Result so far: 44.0
If we subtract 104 from 125, we get 21.
Fetch the next digit (8) from the dividend, attach it to 21 and continue: 218 / 26

Advancing to step 5:
26 goes into 218 8 times with a remainder of 10.
The number 8 becomes the next digit in our result. 
Result so far: 448.0
If we subtract 208 from 218, we get 10.
Append the next digit (6) from the dividend to 10 and continue with: 106 / 26

Step 6:
26 can be fit into 106 4 times, resulting in a remainder of 2.
Write down 4 as next digit of the result. 
Result so far: 4484.0
The remainder is 2 after subtracting 104 from 106.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 7:
26 goes into 20 0 times with a remainder of 20.
The next digit of our result is 0. 
Result so far: 4484.0
If we take 0 away from 20, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 8:
26 goes into 200 7 times with a remainder of 18.
The next digit of our result is 7. 
Result so far: 4484.07
The remainder is 18 after subtracting 182 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

On to step 9:
If we divide 180 by 26, we get 6 and a remainder of 24.
The number 6 becomes the next digit in our result. 
Result so far: 4484.076
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.

Moving on to step 10:
When dividing 240 by 26, we get 9 with a remainder of 6.
The number 9 becomes the next digit in our result. 
Result so far: 4484.0769
The remainder is 6 after subtracting 234 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 11:
26 goes into 60 2 times with a remainder of 8.
Record the quotient 2 as the next digit in the result. 
Result so far: 4484.07692
The remainder is 8 after subtracting 52 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 12:
80 divided by 26 is 3 with a remainder of 2.
Use 3 as the next digit of our solution. 
Result so far: 4484.076923
Subtract 78 from 80 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 13:
If we divide 20 by 26, we get 0 and a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 4484.076923
If we take 0 away from 20, we end up with 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 14:
26 can be fit into 200 7 times, resulting in a remainder of 18.
Record the quotient 7 as the next digit in the result. 
Result so far: 4484.07692307
If we take 182 away from 200, 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.

The quotient of the division is 4484.07692307, and the remainder is 1.8e-08.