409665 ÷ 99 
We're looking to find how many times 99 goes into 409665.

Going ahead to step 1:
99 goes into 4 0 times with a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Include the next digit (0) from the dividend after 4, then repeat: 40 / 99

Going ahead to step 2:
99 can be fit into 40 0 times, resulting in a remainder of 40.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 40 and we're left with 40.
Include the next digit (9) from the dividend after 40, then repeat: 409 / 99

Step 3:
The number 99 fits into 409 4 times, leaving a remainder of 13.
Use 4 as the next digit of our solution. 
Result so far: 4.0
If we subtract 396 from 409, we get 13.
Include the next digit (6) from the dividend after 13, then repeat: 136 / 99

Advancing to step 4:
If we divide 136 by 99, we get 1 and a remainder of 37.
Put 1 as the next digit of the answer. 
Result so far: 41.0
The remainder is 37 after subtracting 99 from 136.
Take the next digit (6) from the dividend and append it to 37, then repeat: 376 / 99

Step 5:
If we divide 376 by 99, we get 3 and a remainder of 79.
Use 3 as the next digit of our solution. 
Result so far: 413.0
If we take 297 away from 376, we end up with 79.
Append the next digit (5) from the dividend to 79 and continue with: 795 / 99

Moving on to step 6:
99 goes into 795 8 times with a remainder of 3.
The next digit of our result is 8. 
Result so far: 4138.0
The remainder is 3 after subtracting 792 from 795.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 7:
The number 99 fits into 30 0 times, leaving a remainder of 30.
The number 0 becomes the next digit in our result. 
Result so far: 4138.0
Subtract 0 from 30 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 8:
When dividing 300 by 99, we get 3 with a remainder of 3.
The next digit of our result is 3. 
Result so far: 4138.03
The remainder is 3 after subtracting 297 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 9:
When dividing 30 by 99, we get 0 with a remainder of 30.
The next digit of our result is 0. 
Result so far: 4138.03
Subtract 0 from 30 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 10:
The number 99 fits into 300 3 times, leaving a remainder of 3.
Use 3 as the next digit of our solution. 
Result so far: 4138.0303
Subtract 297 from 300 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 11:
If we divide 30 by 99, we get 0 and a remainder of 30.
The next digit of our result is 0. 
Result so far: 4138.0303
If we take 0 away from 30, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 12:
99 can be fit into 300 3 times, resulting in a remainder of 3.
Record the quotient 3 as the next digit in the result. 
Result so far: 4138.030303
Subtract 297 from 300 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

On to step 13:
99 can be fit into 30 0 times, resulting in a remainder of 30.
Put 0 as the next digit of the answer. 
Result so far: 4138.030303
If we subtract 0 from 30, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 14:
99 goes into 300 3 times with a remainder of 3.
The number 3 becomes the next digit in our result. 
Result so far: 4138.03030303
If we take 297 away from 300, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

The quotient of the division is 4138.03030303, and the remainder is 3e-09.