35781 ÷ 99 
We're looking to find how many times 99 goes into 35781.

Let's proceed to step 1:
When dividing 3 by 99, we get 0 with a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Bring next digit (5) of the dividend behind the 3 and repeat the process: 35 / 99

Advancing to step 2:
The number 99 fits into 35 0 times, leaving a remainder of 35.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 35 after subtracting 0 from 35.
Take the next digit (7) from the dividend and append it to 35, then repeat: 357 / 99

Going ahead to step 3:
The number 99 fits into 357 3 times, leaving a remainder of 60.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
Subtract 297 from 357 to get 60.
Fetch the next digit (8) from the dividend, attach it to 60 and continue: 608 / 99

Let's proceed to step 4:
If we divide 608 by 99, we get 6 and a remainder of 14.
Write down 6 as next digit of the result. 
Result so far: 36.0
Subtracting 594 from 608 leaves us with 14.
Take the next digit (1) from the dividend and append it to 14, then repeat: 141 / 99

On to step 5:
99 goes into 141 1 times with a remainder of 42.
Use 1 as the next digit of our solution. 
Result so far: 361.0
If we take 99 away from 141, we end up with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Moving on to step 6:
If we divide 420 by 99, we get 4 and a remainder of 24.
Use 4 as the next digit of our solution. 
Result so far: 361.4
The remainder is 24 after subtracting 396 from 420.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Moving on to step 7:
When dividing 240 by 99, we get 2 with a remainder of 42.
The next digit of our result is 2. 
Result so far: 361.42
Subtracting 198 from 240 leaves us with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Going ahead to step 8:
99 can be fit into 420 4 times, resulting in a remainder of 24.
The number 4 becomes the next digit in our result. 
Result so far: 361.424
The remainder is 24 after subtracting 396 from 420.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Moving on to step 9:
99 goes into 240 2 times with a remainder of 42.
The number 2 becomes the next digit in our result. 
Result so far: 361.4242
The remainder is 42 after subtracting 198 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Going ahead to step 10:
420 divided by 99 is 4 with a remainder of 24.
The next digit of our result is 4. 
Result so far: 361.42424
Subtracting 396 from 420 leaves us with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Let's proceed to step 11:
If we divide 240 by 99, we get 2 and a remainder of 42.
The number 2 becomes the next digit in our result. 
Result so far: 361.424242
Subtract 198 from 240 to get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Going ahead to step 12:
If we divide 420 by 99, we get 4 and a remainder of 24.
Put 4 as the next digit of the answer. 
Result so far: 361.4242424
Deduct 396 from 420 and we're left with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Let's proceed to step 13:
If we divide 240 by 99, we get 2 and a remainder of 42.
Put 2 as the next digit of the answer. 
Result so far: 361.42424242
Deduct 198 from 240 and we're left with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

The final outcome is 361.42424242, with a leftover of 4.2e-08.