We're dividing 31035 by 26 
We're looking to find how many times 26 goes into 31035.

Going ahead to step 1:
The number 26 fits into 3 0 times, leaving a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Fetch the next digit (1) from the dividend, attach it to 3 and continue: 31 / 26

Step 2:
The number 26 fits into 31 1 times, leaving a remainder of 5.
The next digit of our result is 1. 
Result so far: 1.0
Subtracting 26 from 31 leaves us with 5.
Fetch the next digit (0) from the dividend, attach it to 5 and continue: 50 / 26

Let's proceed to step 3:
26 can be fit into 50 1 times, resulting in a remainder of 24.
Put 1 as the next digit of the answer. 
Result so far: 11.0
Deduct 26 from 50 and we're left with 24.
Grab the next digit (3) from the dividend, add it to 24, then carry on: 243 / 26

Moving on to step 4:
When dividing 243 by 26, we get 9 with a remainder of 9.
The next digit of our result is 9. 
Result so far: 119.0
If we take 234 away from 243, we end up with 9.
Take the next digit (5) from the dividend and append it to 9, then repeat: 95 / 26

Moving on to step 5:
26 can be fit into 95 3 times, resulting in a remainder of 17.
The number 3 becomes the next digit in our result. 
Result so far: 1193.0
If we take 78 away from 95, we end up with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Moving on to step 6:
When dividing 170 by 26, we get 6 with a remainder of 14.
Use 6 as the next digit of our solution. 
Result so far: 1193.6
Deduct 156 from 170 and we're left 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.

Moving on to step 7:
If we divide 140 by 26, we get 5 and a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 1193.65
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.

Advancing to step 8:
The number 26 fits into 100 3 times, leaving a remainder of 22.
Write down 3 as next digit of the result. 
Result so far: 1193.653
If we subtract 78 from 100, we get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

On to step 9:
If we divide 220 by 26, we get 8 and a remainder of 12.
Put 8 as the next digit of the answer. 
Result so far: 1193.6538
Subtracting 208 from 220 leaves us 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.

Going ahead to step 10:
When dividing 120 by 26, we get 4 with a remainder of 16.
The next digit of our result is 4. 
Result so far: 1193.65384
Subtract 104 from 120 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 11:
160 divided by 26 is 6 with a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 1193.653846
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.

Moving on to step 12:
When dividing 40 by 26, we get 1 with a remainder of 14.
The next digit of our result is 1. 
Result so far: 1193.6538461
The remainder is 14 after subtracting 26 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Going ahead to step 13:
The number 26 fits into 140 5 times, leaving a remainder of 10.
The number 5 becomes the next digit in our result. 
Result so far: 1193.65384615
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.

Our division results in 1193.65384615 with a remaining 1e-08.