We look at the division of 261308 by 35 
We want to figure out the number of times 261308 can be divided by 35.

Step 1:
When dividing 2 by 35, we get 0 with a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Take the next digit (6) from the dividend and append it to 2, then repeat: 26 / 35

Step 2:
35 can be fit into 26 0 times, resulting in a remainder of 26.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 26, we end up with 26.
Grab the next digit (1) from the dividend, add it to 26, then carry on: 261 / 35

Going ahead to step 3:
When dividing 261 by 35, we get 7 with a remainder of 16.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
Subtract 245 from 261 to get 16.
Grab the next digit (3) from the dividend, add it to 16, then carry on: 163 / 35

Let's proceed to step 4:
If we divide 163 by 35, we get 4 and a remainder of 23.
Use 4 as the next digit of our solution. 
Result so far: 74.0
Subtract 140 from 163 to get 23.
Fetch the next digit (0) from the dividend, attach it to 23 and continue: 230 / 35

Going ahead to step 5:
The number 35 fits into 230 6 times, leaving a remainder of 20.
The next digit of our result is 6. 
Result so far: 746.0
Subtract 210 from 230 to get 20.
Take the next digit (8) from the dividend and append it to 20, then repeat: 208 / 35

On to step 6:
The number 35 fits into 208 5 times, leaving a remainder of 33.
Record the quotient 5 as the next digit in the result. 
Result so far: 7465.0
If we take 175 away from 208, we end up with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Moving on to step 7:
330 divided by 35 is 9 with a remainder of 15.
Write down 9 as next digit of the result. 
Result so far: 7465.9
If we take 315 away from 330, we end up with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 8:
When dividing 150 by 35, we get 4 with a remainder of 10.
Put 4 as the next digit of the answer. 
Result so far: 7465.94
Subtract 140 from 150 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 9:
100 divided by 35 is 2 with a remainder of 30.
Put 2 as the next digit of the answer. 
Result so far: 7465.942
Deduct 70 from 100 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Advancing to step 10:
When dividing 300 by 35, we get 8 with a remainder of 20.
Record the quotient 8 as the next digit in the result. 
Result so far: 7465.9428
Subtract 280 from 300 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 11:
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: 7465.94285
Deduct 175 from 200 and we're left 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.

On to step 12:
35 can be fit into 250 7 times, resulting in a remainder of 5.
Record the quotient 7 as the next digit in the result. 
Result so far: 7465.942857
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.

On to step 13:
35 can be fit into 50 1 times, resulting in a remainder of 15.
The number 1 becomes the next digit in our result. 
Result so far: 7465.9428571
If we take 35 away from 50, we end up with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 14:
If we divide 150 by 35, we get 4 and a remainder of 10.
Write down 4 as next digit of the result. 
Result so far: 7465.94285714
If we take 140 away from 150, we end up 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.

In conclusion, the division gives 7465.94285714 with a balance of 1e-08.