We're dividing 35375297 by 975 
We want to figure out the number of times 35375297 can be divided by 975.

On to step 1:
3 divided by 975 is 0 with a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Include the next digit (5) from the dividend after 3, then repeat: 35 / 975

Step 2:
975 goes into 35 0 times with a remainder of 35.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 35 leaves us with 35.
Append the next digit (3) from the dividend to 35 and continue with: 353 / 975

Going ahead to step 3:
975 can be fit into 353 0 times, resulting in a remainder of 353.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 353 to get 353.
Include the next digit (7) from the dividend after 353, then repeat: 3537 / 975

Step 4:
975 can be fit into 3537 3 times, resulting in a remainder of 612.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
If we subtract 2925 from 3537, we get 612.
Bring next digit (5) of the dividend behind the 612 and repeat the process: 6125 / 975

Going ahead to step 5:
6125 divided by 975 is 6 with a remainder of 275.
Record the quotient 6 as the next digit in the result. 
Result so far: 36.0
Deduct 5850 from 6125 and we're left with 275.
Append the next digit (2) from the dividend to 275 and continue with: 2752 / 975

On to step 6:
When dividing 2752 by 975, we get 2 with a remainder of 802.
Put 2 as the next digit of the answer. 
Result so far: 362.0
Subtract 1950 from 2752 to get 802.
Fetch the next digit (9) from the dividend, attach it to 802 and continue: 8029 / 975

Let's proceed to step 7:
If we divide 8029 by 975, we get 8 and a remainder of 229.
The next digit of our result is 8. 
Result so far: 3628.0
Subtract 7800 from 8029 to get 229.
Bring next digit (7) of the dividend behind the 229 and repeat the process: 2297 / 975

Advancing to step 8:
975 can be fit into 2297 2 times, resulting in a remainder of 347.
Record the quotient 2 as the next digit in the result. 
Result so far: 36282.0
If we subtract 1950 from 2297, we get 347.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3470, and continue the process.

Step 9:
975 goes into 3470 3 times with a remainder of 545.
The next digit of our result is 3. 
Result so far: 36282.3
Deduct 2925 from 3470 and we're left with 545.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5450, and continue the process.

Moving on to step 10:
The number 975 fits into 5450 5 times, leaving a remainder of 575.
The next digit of our result is 5. 
Result so far: 36282.35
If we take 4875 away from 5450, we end up with 575.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5750, and continue the process.

Advancing to step 11:
The number 975 fits into 5750 5 times, leaving a remainder of 875.
Put 5 as the next digit of the answer. 
Result so far: 36282.355
If we subtract 4875 from 5750, we get 875.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8750, and continue the process.

After the division, we end up with 36282.355 and a remainder of 0.0875.