35975005 ÷ 990 
Our goal is to divide 35975005 by 990.

Advancing to step 1:
The number 990 fits into 3 0 times, leaving a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Include the next digit (5) from the dividend after 3, then repeat: 35 / 990

On to step 2:
If we divide 35 by 990, we get 0 and a remainder of 35.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 35 after subtracting 0 from 35.
Fetch the next digit (9) from the dividend, attach it to 35 and continue: 359 / 990

Going ahead to step 3:
990 goes into 359 0 times with a remainder of 359.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 359 and we're left with 359.
Bring next digit (7) of the dividend behind the 359 and repeat the process: 3597 / 990

On to step 4:
The number 990 fits into 3597 3 times, leaving a remainder of 627.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
If we subtract 2970 from 3597, we get 627.
Bring next digit (5) of the dividend behind the 627 and repeat the process: 6275 / 990

Going ahead to step 5:
When dividing 6275 by 990, we get 6 with a remainder of 335.
Use 6 as the next digit of our solution. 
Result so far: 36.0
If we subtract 5940 from 6275, we get 335.
Grab the next digit (0) from the dividend, add it to 335, then carry on: 3350 / 990

Let's proceed to step 6:
990 can be fit into 3350 3 times, resulting in a remainder of 380.
Write down 3 as next digit of the result. 
Result so far: 363.0
Subtract 2970 from 3350 to get 380.
Fetch the next digit (0) from the dividend, attach it to 380 and continue: 3800 / 990

Moving on to step 7:
When dividing 3800 by 990, we get 3 with a remainder of 830.
Write down 3 as next digit of the result. 
Result so far: 3633.0
The remainder is 830 after subtracting 2970 from 3800.
Include the next digit (5) from the dividend after 830, then repeat: 8305 / 990

Going ahead to step 8:
8305 divided by 990 is 8 with a remainder of 385.
Write down 8 as next digit of the result. 
Result so far: 36338.0
Subtract 7920 from 8305 to get 385.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3850, and continue the process.

On to step 9:
The number 990 fits into 3850 3 times, leaving a remainder of 880.
Use 3 as the next digit of our solution. 
Result so far: 36338.3
If we subtract 2970 from 3850, we get 880.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8800, and continue the process.

Let's proceed to step 10:
When dividing 8800 by 990, we get 8 with a remainder of 880.
Record the quotient 8 as the next digit in the result. 
Result so far: 36338.38
If we subtract 7920 from 8800, we get 880.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8800, and continue the process.

Moving on to step 11:
8800 divided by 990 is 8 with a remainder of 880.
The number 8 becomes the next digit in our result. 
Result so far: 36338.388
Deduct 7920 from 8800 and we're left with 880.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8800, and continue the process.

In conclusion, the division gives 36338.388 with a balance of 0.088.