26959 ÷ 34 
Our goal is to divide 26959 by 34.

Step 1:
34 can be fit into 2 0 times, resulting in a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 2, we get 2.
Fetch the next digit (6) from the dividend, attach it to 2 and continue: 26 / 34

Advancing to step 2:
If we divide 26 by 34, we get 0 and a remainder of 26.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 26 leaves us with 26.
Take the next digit (9) from the dividend and append it to 26, then repeat: 269 / 34

Step 3:
34 goes into 269 7 times with a remainder of 31.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
If we subtract 238 from 269, we get 31.
Take the next digit (5) from the dividend and append it to 31, then repeat: 315 / 34

Moving on to step 4:
If we divide 315 by 34, we get 9 and a remainder of 9.
Put 9 as the next digit of the answer. 
Result so far: 79.0
If we take 306 away from 315, we end up with 9.
Take the next digit (9) from the dividend and append it to 9, then repeat: 99 / 34

Let's proceed to step 5:
99 divided by 34 is 2 with a remainder of 31.
Write down 2 as next digit of the result. 
Result so far: 792.0
If we subtract 68 from 99, we get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Step 6:
34 goes into 310 9 times with a remainder of 4.
The next digit of our result is 9. 
Result so far: 792.9
Subtract 306 from 310 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.

Let's proceed to step 7:
34 goes into 40 1 times with a remainder of 6.
Write down 1 as next digit of the result. 
Result so far: 792.91
Deduct 34 from 40 and we're left 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.

Step 8:
60 divided by 34 is 1 with a remainder of 26.
The number 1 becomes the next digit in our result. 
Result so far: 792.911
Subtracting 34 from 60 leaves us with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

The final outcome is 792.911, with a leftover of 0.0026.