We divide 585969 by 26
We're looking to find how many times 26 goes into 585969.

Moving on to step 1:
When dividing 5 by 26, we get 0 with a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Append the next digit (8) from the dividend to 5 and continue with: 58 / 26

Step 2:
26 goes into 58 2 times with a remainder of 6.
Use 2 as the next digit of our solution. 
Result so far: 2.0
If we take 52 away from 58, we end up with 6.
Include the next digit (5) from the dividend after 6, then repeat: 65 / 26

Let's proceed to step 3:
The number 26 fits into 65 2 times, leaving a remainder of 13.
Write down 2 as next digit of the result. 
Result so far: 22.0
Deduct 52 from 65 and we're left with 13.
Take the next digit (9) from the dividend and append it to 13, then repeat: 139 / 26

Let's proceed to step 4:
26 can be fit into 139 5 times, resulting in a remainder of 9.
The number 5 becomes the next digit in our result. 
Result so far: 225.0
Subtract 130 from 139 to get 9.
Bring next digit (6) of the dividend behind the 9 and repeat the process: 96 / 26

Moving on to step 5:
If we divide 96 by 26, we get 3 and a remainder of 18.
The number 3 becomes the next digit in our result. 
Result so far: 2253.0
Subtract 78 from 96 to get 18.
Include the next digit (9) from the dividend after 18, then repeat: 189 / 26

Going ahead to step 6:
26 goes into 189 7 times with a remainder of 7.
Put 7 as the next digit of the answer. 
Result so far: 22537.0
Subtract 182 from 189 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 7:
26 can be fit into 70 2 times, resulting in a remainder of 18.
Use 2 as the next digit of our solution. 
Result so far: 22537.2
Subtracting 52 from 70 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 8:
180 divided by 26 is 6 with a remainder of 24.
Use 6 as the next digit of our solution. 
Result so far: 22537.26
Subtracting 156 from 180 leaves us with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Advancing to step 9:
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: 22537.269
Subtracting 234 from 240 leaves us with 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 10:
60 divided by 26 is 2 with a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 22537.2692
Deduct 52 from 60 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 11:
If we divide 80 by 26, we get 3 and a remainder of 2.
Put 3 as the next digit of the answer. 
Result so far: 22537.26923
If we take 78 away from 80, we end up 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.

Advancing to step 12:
The number 26 fits into 20 0 times, leaving a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 22537.26923
Subtract 0 from 20 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 13:
200 divided by 26 is 7 with a remainder of 18.
The number 7 becomes the next digit in our result. 
Result so far: 22537.2692307
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.

Advancing to step 14:
180 divided by 26 is 6 with a remainder of 24.
Put 6 as the next digit of the answer. 
Result so far: 22537.26923076
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.

In conclusion, the division gives 22537.26923076 with a balance of 2.4e-08.