We look at the division of 25969 by 35 
Our goal is to divide 25969 by 35.

Moving on to step 1:
If we divide 2 by 35, we get 0 and a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 2, we end up with 2.
Append the next digit (5) from the dividend to 2 and continue with: 25 / 35

Moving on to step 2:
If we divide 25 by 35, we get 0 and a remainder of 25.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 25 after subtracting 0 from 25.
Append the next digit (9) from the dividend to 25 and continue with: 259 / 35

Advancing to step 3:
35 goes into 259 7 times with a remainder of 14.
The next digit of our result is 7. 
Result so far: 7.0
Subtract 245 from 259 to get 14.
Bring next digit (6) of the dividend behind the 14 and repeat the process: 146 / 35

Going ahead to step 4:
146 divided by 35 is 4 with a remainder of 6.
The next digit of our result is 4. 
Result so far: 74.0
The remainder is 6 after subtracting 140 from 146.
Take the next digit (9) from the dividend and append it to 6, then repeat: 69 / 35

Step 5:
69 divided by 35 is 1 with a remainder of 34.
Put 1 as the next digit of the answer. 
Result so far: 741.0
Subtracting 35 from 69 leaves us with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Going ahead to step 6:
The number 35 fits into 340 9 times, leaving a remainder of 25.
Record the quotient 9 as the next digit in the result. 
Result so far: 741.9
If we take 315 away from 340, 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.

Advancing to step 7:
The number 35 fits into 250 7 times, leaving a remainder of 5.
Use 7 as the next digit of our solution. 
Result so far: 741.97
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.

Going ahead to step 8:
50 divided by 35 is 1 with a remainder of 15.
The number 1 becomes the next digit in our result. 
Result so far: 741.971
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.

Step 9:
35 can be fit into 150 4 times, resulting in a remainder of 10.
The next digit of our result is 4. 
Result so far: 741.9714
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.

Moving on to step 10:
The number 35 fits into 100 2 times, leaving a remainder of 30.
Write down 2 as next digit of the result. 
Result so far: 741.97142
The remainder is 30 after subtracting 70 from 100.
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 11:
300 divided by 35 is 8 with a remainder of 20.
The number 8 becomes the next digit in our result. 
Result so far: 741.971428
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 12:
The number 35 fits into 200 5 times, leaving a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 741.9714285
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 13:
When dividing 250 by 35, we get 7 with a remainder of 5.
Put 7 as the next digit of the answer. 
Result so far: 741.97142857
Subtracting 245 from 250 leaves us 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.

The final result is 741.97142857 with a remainder of 5e-09.