We look at the division of 278576 by 35 
We're looking to find how many times 35 goes into 278576.

Going ahead to step 1:
The number 35 fits into 2 0 times, leaving a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Append the next digit (7) from the dividend to 2 and continue with: 27 / 35

Step 2:
If we divide 27 by 35, we get 0 and a remainder of 27.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 27, we get 27.
Include the next digit (8) from the dividend after 27, then repeat: 278 / 35

Advancing to step 3:
35 can be fit into 278 7 times, resulting in a remainder of 33.
Use 7 as the next digit of our solution. 
Result so far: 7.0
Subtract 245 from 278 to get 33.
Include the next digit (5) from the dividend after 33, then repeat: 335 / 35

Advancing to step 4:
The number 35 fits into 335 9 times, leaving a remainder of 20.
Record the quotient 9 as the next digit in the result. 
Result so far: 79.0
The remainder is 20 after subtracting 315 from 335.
Fetch the next digit (7) from the dividend, attach it to 20 and continue: 207 / 35

Moving on to step 5:
35 goes into 207 5 times with a remainder of 32.
The number 5 becomes the next digit in our result. 
Result so far: 795.0
Subtract 175 from 207 to get 32.
Bring next digit (6) of the dividend behind the 32 and repeat the process: 326 / 35

On to step 6:
The number 35 fits into 326 9 times, leaving a remainder of 11.
Write down 9 as next digit of the result. 
Result so far: 7959.0
Subtract 315 from 326 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 7:
The number 35 fits into 110 3 times, leaving a remainder of 5.
The number 3 becomes the next digit in our result. 
Result so far: 7959.3
If we subtract 105 from 110, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 8:
When dividing 50 by 35, we get 1 with a remainder of 15.
The next digit of our result is 1. 
Result so far: 7959.31
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.

Moving on to step 9:
When dividing 150 by 35, we get 4 with a remainder of 10.
Record the quotient 4 as the next digit in the result. 
Result so far: 7959.314
The remainder is 10 after subtracting 140 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 10:
The number 35 fits into 100 2 times, leaving a remainder of 30.
The number 2 becomes the next digit in our result. 
Result so far: 7959.3142
Subtracting 70 from 100 leaves us 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 11:
35 can be fit into 300 8 times, resulting in a remainder of 20.
Put 8 as the next digit of the answer. 
Result so far: 7959.31428
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.

Let's proceed to step 12:
If we divide 200 by 35, we get 5 and a remainder of 25.
The number 5 becomes the next digit in our result. 
Result so far: 7959.314285
Subtracting 175 from 200 leaves us 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.

Moving on to step 13:
250 divided by 35 is 7 with a remainder of 5.
The next digit of our result is 7. 
Result so far: 7959.3142857
Subtract 245 from 250 to get 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 14:
If we divide 50 by 35, we get 1 and a remainder of 15.
The next digit of our result is 1. 
Result so far: 7959.31428571
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.

After the division, we end up with 7959.31428571 and a remainder of 1.5e-08.