We look at the division of 35405 by 99 
We want to figure out the number of times 35405 can be divided by 99.

Advancing to step 1:
The number 99 fits into 3 0 times, leaving a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Append the next digit (5) from the dividend to 3 and continue with: 35 / 99

Let's proceed to step 2:
99 can be fit into 35 0 times, resulting in a remainder of 35.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 35 leaves us with 35.
Take the next digit (4) from the dividend and append it to 35, then repeat: 354 / 99

Going ahead to step 3:
99 goes into 354 3 times with a remainder of 57.
Write down 3 as next digit of the result. 
Result so far: 3.0
Subtracting 297 from 354 leaves us with 57.
Take the next digit (0) from the dividend and append it to 57, then repeat: 570 / 99

Moving on to step 4:
99 goes into 570 5 times with a remainder of 75.
Record the quotient 5 as the next digit in the result. 
Result so far: 35.0
Subtract 495 from 570 to get 75.
Grab the next digit (5) from the dividend, add it to 75, then carry on: 755 / 99

On to step 5:
When dividing 755 by 99, we get 7 with a remainder of 62.
The next digit of our result is 7. 
Result so far: 357.0
Subtracting 693 from 755 leaves us with 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Step 6:
620 divided by 99 is 6 with a remainder of 26.
Record the quotient 6 as the next digit in the result. 
Result so far: 357.6
Deduct 594 from 620 and we're left with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Step 7:
99 goes into 260 2 times with a remainder of 62.
The next digit of our result is 2. 
Result so far: 357.62
Deduct 198 from 260 and we're left with 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Step 8:
99 goes into 620 6 times with a remainder of 26.
The number 6 becomes the next digit in our result. 
Result so far: 357.626
If we take 594 away from 620, we end up with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Going ahead to step 9:
260 divided by 99 is 2 with a remainder of 62.
Record the quotient 2 as the next digit in the result. 
Result so far: 357.6262
Subtract 198 from 260 to get 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

On to step 10:
If we divide 620 by 99, we get 6 and a remainder of 26.
Write down 6 as next digit of the result. 
Result so far: 357.62626
Subtracting 594 from 620 leaves us with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Moving on to step 11:
260 divided by 99 is 2 with a remainder of 62.
The number 2 becomes the next digit in our result. 
Result so far: 357.626262
The remainder is 62 after subtracting 198 from 260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Advancing to step 12:
620 divided by 99 is 6 with a remainder of 26.
Write down 6 as next digit of the result. 
Result so far: 357.6262626
Subtracting 594 from 620 leaves us with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Going ahead to step 13:
260 divided by 99 is 2 with a remainder of 62.
Use 2 as the next digit of our solution. 
Result so far: 357.62626262
Deduct 198 from 260 and we're left with 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

The quotient of the division is 357.62626262, and the remainder is 6.2e-08.