35353868 ÷ 953 
We want to divide 35353868 by 953.

On to step 1:
953 goes into 3 0 times with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Bring next digit (5) of the dividend behind the 3 and repeat the process: 35 / 953

Going ahead to step 2:
953 goes into 35 0 times with a remainder of 35.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 35 to get 35.
Grab the next digit (3) from the dividend, add it to 35, then carry on: 353 / 953

Step 3:
953 can be fit into 353 0 times, resulting in a remainder of 353.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 353 and we're left with 353.
Append the next digit (5) from the dividend to 353 and continue with: 3535 / 953

Going ahead to step 4:
When dividing 3535 by 953, we get 3 with a remainder of 676.
The next digit of our result is 3. 
Result so far: 3.0
The remainder is 676 after subtracting 2859 from 3535.
Take the next digit (3) from the dividend and append it to 676, then repeat: 6763 / 953

Step 5:
953 can be fit into 6763 7 times, resulting in a remainder of 92.
Put 7 as the next digit of the answer. 
Result so far: 37.0
Subtract 6671 from 6763 to get 92.
Take the next digit (8) from the dividend and append it to 92, then repeat: 928 / 953

Advancing to step 6:
953 can be fit into 928 0 times, resulting in a remainder of 928.
The number 0 becomes the next digit in our result. 
Result so far: 370.0
If we take 0 away from 928, we end up with 928.
Include the next digit (6) from the dividend after 928, then repeat: 9286 / 953

Advancing to step 7:
The number 953 fits into 9286 9 times, leaving a remainder of 709.
Use 9 as the next digit of our solution. 
Result so far: 3709.0
Subtracting 8577 from 9286 leaves us with 709.
Fetch the next digit (8) from the dividend, attach it to 709 and continue: 7098 / 953

Advancing to step 8:
The number 953 fits into 7098 7 times, leaving a remainder of 427.
Use 7 as the next digit of our solution. 
Result so far: 37097.0
If we take 6671 away from 7098, we end up with 427.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4270, and continue the process.

Let's proceed to step 9:
953 goes into 4270 4 times with a remainder of 458.
The number 4 becomes the next digit in our result. 
Result so far: 37097.4
The remainder is 458 after subtracting 3812 from 4270.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4580, and continue the process.

Moving on to step 10:
When dividing 4580 by 953, we get 4 with a remainder of 768.
Put 4 as the next digit of the answer. 
Result so far: 37097.44
If we subtract 3812 from 4580, we get 768.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7680, and continue the process.

The final result is 37097.44 with a remainder of 0.768.