34590 ÷ 26 
Our goal is to divide 34590 by 26.

On to step 1:
26 goes into 3 0 times with a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Include the next digit (4) from the dividend after 3, then repeat: 34 / 26

Let's proceed to step 2:
26 goes into 34 1 times with a remainder of 8.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 26 away from 34, we end up with 8.
Include the next digit (5) from the dividend after 8, then repeat: 85 / 26

Advancing to step 3:
26 can be fit into 85 3 times, resulting in a remainder of 7.
Put 3 as the next digit of the answer. 
Result so far: 13.0
Subtract 78 from 85 to get 7.
Include the next digit (9) from the dividend after 7, then repeat: 79 / 26

Moving on to step 4:
79 divided by 26 is 3 with a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 133.0
The remainder is 1 after subtracting 78 from 79.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 26

Moving on to step 5:
10 divided by 26 is 0 with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 1330.0
If we subtract 0 from 10, 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.

Step 6:
The number 26 fits into 100 3 times, leaving a remainder of 22.
Use 3 as the next digit of our solution. 
Result so far: 1330.3
If we take 78 away from 100, we end up with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Going ahead to step 7:
When dividing 220 by 26, we get 8 with a remainder of 12.
Use 8 as the next digit of our solution. 
Result so far: 1330.38
Deduct 208 from 220 and we're left 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 8:
120 divided by 26 is 4 with a remainder of 16.
The next digit of our result is 4. 
Result so far: 1330.384
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.

On to step 9:
If we divide 160 by 26, we get 6 and a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 1330.3846
Subtracting 156 from 160 leaves us with 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 10:
40 divided by 26 is 1 with a remainder of 14.
Use 1 as the next digit of our solution. 
Result so far: 1330.38461
Subtracting 26 from 40 leaves us 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.

On to step 11:
26 goes into 140 5 times with a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 1330.384615
Subtract 130 from 140 to 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.

Step 12:
26 can be fit into 100 3 times, resulting in a remainder of 22.
Write down 3 as next digit of the result. 
Result so far: 1330.3846153
If we take 78 away from 100, we end up with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Advancing to step 13:
When dividing 220 by 26, we get 8 with a remainder of 12.
The number 8 becomes the next digit in our result. 
Result so far: 1330.38461538
Deduct 208 from 220 and we're left 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.

The quotient of the division is 1330.38461538, and the remainder is 1.2e-08.