95218802 ÷ 409 
We want to figure out the number of times 95218802 can be divided by 409.

On to step 1:
9 divided by 409 is 0 with a remainder of 9.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 9 and we're left with 9.
Include the next digit (5) from the dividend after 9, then repeat: 95 / 409

On to step 2:
When dividing 95 by 409, we get 0 with a remainder of 95.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 95 to get 95.
Take the next digit (2) from the dividend and append it to 95, then repeat: 952 / 409

Advancing to step 3:
When dividing 952 by 409, we get 2 with a remainder of 134.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
If we subtract 818 from 952, we get 134.
Grab the next digit (1) from the dividend, add it to 134, then carry on: 1341 / 409

Step 4:
409 can be fit into 1341 3 times, resulting in a remainder of 114.
Write down 3 as next digit of the result. 
Result so far: 23.0
Subtracting 1227 from 1341 leaves us with 114.
Take the next digit (8) from the dividend and append it to 114, then repeat: 1148 / 409

Moving on to step 5:
When dividing 1148 by 409, we get 2 with a remainder of 330.
Use 2 as the next digit of our solution. 
Result so far: 232.0
The remainder is 330 after subtracting 818 from 1148.
Take the next digit (8) from the dividend and append it to 330, then repeat: 3308 / 409

Moving on to step 6:
409 can be fit into 3308 8 times, resulting in a remainder of 36.
The next digit of our result is 8. 
Result so far: 2328.0
If we subtract 3272 from 3308, we get 36.
Take the next digit (0) from the dividend and append it to 36, then repeat: 360 / 409

Going ahead to step 7:
When dividing 360 by 409, we get 0 with a remainder of 360.
The number 0 becomes the next digit in our result. 
Result so far: 23280.0
If we subtract 0 from 360, we get 360.
Take the next digit (2) from the dividend and append it to 360, then repeat: 3602 / 409

On to step 8:
If we divide 3602 by 409, we get 8 and a remainder of 330.
Put 8 as the next digit of the answer. 
Result so far: 232808.0
Subtracting 3272 from 3602 leaves us with 330.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3300, and continue the process.

Advancing to step 9:
409 goes into 3300 8 times with a remainder of 28.
Write down 8 as next digit of the result. 
Result so far: 232808.8
Deduct 3272 from 3300 and we're left with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Moving on to step 10:
280 divided by 409 is 0 with a remainder of 280.
Write down 0 as next digit of the result. 
Result so far: 232808.8
Subtracting 0 from 280 leaves us with 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2800, and continue the process.

Advancing to step 11:
409 can be fit into 2800 6 times, resulting in a remainder of 346.
The next digit of our result is 6. 
Result so far: 232808.806
Deduct 2454 from 2800 and we're left with 346.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3460, and continue the process.

Moving on to step 12:
When dividing 3460 by 409, we get 8 with a remainder of 188.
Write down 8 as next digit of the result. 
Result so far: 232808.8068
If we subtract 3272 from 3460, we get 188.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1880, and continue the process.

Let's proceed to step 13:
When dividing 1880 by 409, we get 4 with a remainder of 244.
Record the quotient 4 as the next digit in the result. 
Result so far: 232808.80684
The remainder is 244 after subtracting 1636 from 1880.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2440, and continue the process.

Moving on to step 14:
When dividing 2440 by 409, we get 5 with a remainder of 395.
Record the quotient 5 as the next digit in the result. 
Result so far: 232808.806845
Subtract 2045 from 2440 to get 395.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3950, and continue the process.

Let's proceed to step 15:
If we divide 3950 by 409, we get 9 and a remainder of 269.
The number 9 becomes the next digit in our result. 
Result so far: 232808.8068459
If we subtract 3681 from 3950, we get 269.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2690, and continue the process.

Moving on to step 16:
409 goes into 2690 6 times with a remainder of 236.
Use 6 as the next digit of our solution. 
Result so far: 232808.80684596
If we take 2454 away from 2690, we end up with 236.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2360, and continue the process.

The quotient of the division is 232808.80684596, and the remainder is 2.36e-07.