We're dividing 36269 by 35 
We want to figure out the number of times 36269 can be divided by 35.

Step 1:
35 can be fit into 3 0 times, resulting in a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Take the next digit (6) from the dividend and append it to 3, then repeat: 36 / 35

Step 2:
35 goes into 36 1 times with a remainder of 1.
The next digit of our result is 1. 
Result so far: 1.0
The remainder is 1 after subtracting 35 from 36.
Fetch the next digit (2) from the dividend, attach it to 1 and continue: 12 / 35

Let's proceed to step 3:
12 divided by 35 is 0 with a remainder of 12.
The next digit of our result is 0. 
Result so far: 10.0
Deduct 0 from 12 and we're left with 12.
Append the next digit (6) from the dividend to 12 and continue with: 126 / 35

Step 4:
The number 35 fits into 126 3 times, leaving a remainder of 21.
Put 3 as the next digit of the answer. 
Result so far: 103.0
Subtract 105 from 126 to get 21.
Fetch the next digit (9) from the dividend, attach it to 21 and continue: 219 / 35

Moving on to step 5:
If we divide 219 by 35, we get 6 and a remainder of 9.
Put 6 as the next digit of the answer. 
Result so far: 1036.0
If we subtract 210 from 219, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 6:
35 goes into 90 2 times with a remainder of 20.
Record the quotient 2 as the next digit in the result. 
Result so far: 1036.2
Deduct 70 from 90 and we're left 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.

Step 7:
When dividing 200 by 35, we get 5 with a remainder of 25.
The number 5 becomes the next digit in our result. 
Result so far: 1036.25
If we subtract 175 from 200, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Advancing to step 8:
35 can be fit into 250 7 times, resulting in a remainder of 5.
The number 7 becomes the next digit in our result. 
Result so far: 1036.257
Deduct 245 from 250 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 9:
50 divided by 35 is 1 with a remainder of 15.
Put 1 as the next digit of the answer. 
Result so far: 1036.2571
If we subtract 35 from 50, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

On to step 10:
35 goes into 150 4 times with a remainder of 10.
Write down 4 as next digit of the result. 
Result so far: 1036.25714
Subtracting 140 from 150 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 11:
100 divided by 35 is 2 with a remainder of 30.
The next digit of our result is 2. 
Result so far: 1036.257142
If we subtract 70 from 100, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 12:
The number 35 fits into 300 8 times, leaving a remainder of 20.
Record the quotient 8 as the next digit in the result. 
Result so far: 1036.2571428
If we subtract 280 from 300, we 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:
35 can be fit into 200 5 times, resulting in a remainder of 25.
The next digit of our result is 5. 
Result so far: 1036.25714285
If we take 175 away from 200, we end up with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

In conclusion, the division gives 1036.25714285 with a balance of 2.5e-08.