We look at the division of 75008963 by 35 
We want to figure out the number of times 75008963 can be divided by 35.

Step 1:
When dividing 7 by 35, we get 0 with a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Bring next digit (5) of the dividend behind the 7 and repeat the process: 75 / 35

Going ahead to step 2:
75 divided by 35 is 2 with a remainder of 5.
The next digit of our result is 2. 
Result so far: 2.0
If we take 70 away from 75, we end up with 5.
Bring next digit (0) of the dividend behind the 5 and repeat the process: 50 / 35

Going ahead to step 3:
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: 21.0
Subtract 35 from 50 to get 15.
Grab the next digit (0) from the dividend, add it to 15, then carry on: 150 / 35

Advancing to step 4:
35 goes into 150 4 times with a remainder of 10.
Use 4 as the next digit of our solution. 
Result so far: 214.0
The remainder is 10 after subtracting 140 from 150.
Fetch the next digit (8) from the dividend, attach it to 10 and continue: 108 / 35

Let's proceed to step 5:
If we divide 108 by 35, we get 3 and a remainder of 3.
The number 3 becomes the next digit in our result. 
Result so far: 2143.0
If we take 105 away from 108, we end up with 3.
Include the next digit (9) from the dividend after 3, then repeat: 39 / 35

Let's proceed to step 6:
35 goes into 39 1 times with a remainder of 4.
Put 1 as the next digit of the answer. 
Result so far: 21431.0
If we subtract 35 from 39, we get 4.
Grab the next digit (6) from the dividend, add it to 4, then carry on: 46 / 35

On to step 7:
The number 35 fits into 46 1 times, leaving a remainder of 11.
Put 1 as the next digit of the answer. 
Result so far: 214311.0
If we take 35 away from 46, we end up with 11.
Append the next digit (3) from the dividend to 11 and continue with: 113 / 35

Let's proceed to step 8:
35 can be fit into 113 3 times, resulting in a remainder of 8.
Put 3 as the next digit of the answer. 
Result so far: 2143113.0
Subtracting 105 from 113 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 9:
If we divide 80 by 35, we get 2 and a remainder of 10.
Write down 2 as next digit of the result. 
Result so far: 2143113.2
Subtracting 70 from 80 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.

Moving on to step 10:
35 can be fit into 100 2 times, resulting in a remainder of 30.
Put 2 as the next digit of the answer. 
Result so far: 2143113.22
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.

The quotient of the division is 2143113.22, and the remainder is 0.03.