We look at the division of 976608 by 35 
We want to figure out the number of times 976608 can be divided by 35.

Going ahead to step 1:
9 divided by 35 is 0 with a remainder of 9.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 9 after subtracting 0 from 9.
Include the next digit (7) from the dividend after 9, then repeat: 97 / 35

On to step 2:
35 can be fit into 97 2 times, resulting in a remainder of 27.
Write down 2 as next digit of the result. 
Result so far: 2.0
Subtracting 70 from 97 leaves us with 27.
Include the next digit (6) from the dividend after 27, then repeat: 276 / 35

On to step 3:
When dividing 276 by 35, we get 7 with a remainder of 31.
Put 7 as the next digit of the answer. 
Result so far: 27.0
If we take 245 away from 276, we end up with 31.
Include the next digit (6) from the dividend after 31, then repeat: 316 / 35

Advancing to step 4:
If we divide 316 by 35, we get 9 and a remainder of 1.
Record the quotient 9 as the next digit in the result. 
Result so far: 279.0
If we subtract 315 from 316, we get 1.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 35

Step 5:
35 goes into 10 0 times with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 2790.0
The remainder is 10 after subtracting 0 from 10.
Append the next digit (8) from the dividend to 10 and continue with: 108 / 35

Advancing to step 6:
35 can be fit into 108 3 times, resulting in a remainder of 3.
Put 3 as the next digit of the answer. 
Result so far: 27903.0
Subtract 105 from 108 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 7:
30 divided by 35 is 0 with a remainder of 30.
Write down 0 as next digit of the result. 
Result so far: 27903.0
If we subtract 0 from 30, 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.

On to step 8:
35 goes into 300 8 times with a remainder of 20.
Record the quotient 8 as the next digit in the result. 
Result so far: 27903.08
Deduct 280 from 300 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.

On to step 9:
35 goes into 200 5 times with a remainder of 25.
The number 5 becomes the next digit in our result. 
Result so far: 27903.085
The remainder is 25 after subtracting 175 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Step 10:
35 can be fit into 250 7 times, resulting in a remainder of 5.
The next digit of our result is 7. 
Result so far: 27903.0857
The remainder is 5 after subtracting 245 from 250.
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 11:
The number 35 fits into 50 1 times, leaving a remainder of 15.
Use 1 as the next digit of our solution. 
Result so far: 27903.08571
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 12:
35 can be fit into 150 4 times, resulting in a remainder of 10.
Write down 4 as next digit of the result. 
Result so far: 27903.085714
Deduct 140 from 150 and we're left 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.

Step 13:
If we divide 100 by 35, we get 2 and a remainder of 30.
The next digit of our result is 2. 
Result so far: 27903.0857142
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.

Going ahead to step 14:
300 divided by 35 is 8 with a remainder of 20.
Record the quotient 8 as the next digit in the result. 
Result so far: 27903.08571428
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.

The quotient of the division is 27903.08571428, and the remainder is 2e-08.