35280210 ÷ 935 
Our goal is to divide 35280210 by 935.

Let's proceed to step 1:
935 goes into 3 0 times with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Grab the next digit (5) from the dividend, add it to 3, then carry on: 35 / 935

Let's proceed to step 2:
If we divide 35 by 935, we get 0 and a remainder of 35.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 35, we get 35.
Append the next digit (2) from the dividend to 35 and continue with: 352 / 935

Moving on to step 3:
When dividing 352 by 935, we get 0 with a remainder of 352.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 352 leaves us with 352.
Bring next digit (8) of the dividend behind the 352 and repeat the process: 3528 / 935

Step 4:
If we divide 3528 by 935, we get 3 and a remainder of 723.
Use 3 as the next digit of our solution. 
Result so far: 3.0
Deduct 2805 from 3528 and we're left with 723.
Fetch the next digit (0) from the dividend, attach it to 723 and continue: 7230 / 935

Going ahead to step 5:
The number 935 fits into 7230 7 times, leaving a remainder of 685.
Put 7 as the next digit of the answer. 
Result so far: 37.0
If we subtract 6545 from 7230, we get 685.
Bring next digit (2) of the dividend behind the 685 and repeat the process: 6852 / 935

Advancing to step 6:
935 can be fit into 6852 7 times, resulting in a remainder of 307.
Write down 7 as next digit of the result. 
Result so far: 377.0
Subtracting 6545 from 6852 leaves us with 307.
Take the next digit (1) from the dividend and append it to 307, then repeat: 3071 / 935

Step 7:
The number 935 fits into 3071 3 times, leaving a remainder of 266.
Put 3 as the next digit of the answer. 
Result so far: 3773.0
If we take 2805 away from 3071, we end up with 266.
Grab the next digit (0) from the dividend, add it to 266, then carry on: 2660 / 935

Advancing to step 8:
2660 divided by 935 is 2 with a remainder of 790.
The number 2 becomes the next digit in our result. 
Result so far: 37732.0
If we take 1870 away from 2660, we end up with 790.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7900, and continue the process.

Going ahead to step 9:
The number 935 fits into 7900 8 times, leaving a remainder of 420.
Record the quotient 8 as the next digit in the result. 
Result so far: 37732.8
Deduct 7480 from 7900 and we're left with 420.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4200, and continue the process.

Advancing to step 10:
When dividing 4200 by 935, we get 4 with a remainder of 460.
The number 4 becomes the next digit in our result. 
Result so far: 37732.84
The remainder is 460 after subtracting 3740 from 4200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4600, and continue the process.

Let's proceed to step 11:
935 can be fit into 4600 4 times, resulting in a remainder of 860.
The next digit of our result is 4. 
Result so far: 37732.844
If we subtract 3740 from 4600, we get 860.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8600, and continue the process.

In conclusion, the division gives 37732.844 with a balance of 0.086.