71812107 ÷ 408 
We want to figure out the number of times 71812107 can be divided by 408.

Going ahead to step 1:
The number 408 fits into 7 0 times, leaving a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Grab the next digit (1) from the dividend, add it to 7, then carry on: 71 / 408

Going ahead to step 2:
408 can be fit into 71 0 times, resulting in a remainder of 71.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 71, we get 71.
Include the next digit (8) from the dividend after 71, then repeat: 718 / 408

On to step 3:
The number 408 fits into 718 1 times, leaving a remainder of 310.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we subtract 408 from 718, we get 310.
Append the next digit (1) from the dividend to 310 and continue with: 3101 / 408

Step 4:
3101 divided by 408 is 7 with a remainder of 245.
Write down 7 as next digit of the result. 
Result so far: 17.0
The remainder is 245 after subtracting 2856 from 3101.
Grab the next digit (2) from the dividend, add it to 245, then carry on: 2452 / 408

Let's proceed to step 5:
408 can be fit into 2452 6 times, resulting in a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 176.0
The remainder is 4 after subtracting 2448 from 2452.
Append the next digit (1) from the dividend to 4 and continue with: 41 / 408

Advancing to step 6:
408 can be fit into 41 0 times, resulting in a remainder of 41.
Record the quotient 0 as the next digit in the result. 
Result so far: 1760.0
If we take 0 away from 41, we end up with 41.
Grab the next digit (0) from the dividend, add it to 41, then carry on: 410 / 408

On to step 7:
When dividing 410 by 408, we get 1 with a remainder of 2.
Use 1 as the next digit of our solution. 
Result so far: 17601.0
If we subtract 408 from 410, we get 2.
Grab the next digit (7) from the dividend, add it to 2, then carry on: 27 / 408

Moving on to step 8:
The number 408 fits into 27 0 times, leaving a remainder of 27.
The number 0 becomes the next digit in our result. 
Result so far: 176010.0
Deduct 0 from 27 and we're left with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

On to step 9:
When dividing 270 by 408, we get 0 with a remainder of 270.
Put 0 as the next digit of the answer. 
Result so far: 176010.0
If we take 0 away from 270, we end up with 270.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2700, and continue the process.

On to step 10:
When dividing 2700 by 408, we get 6 with a remainder of 252.
Write down 6 as next digit of the result. 
Result so far: 176010.06
If we take 2448 away from 2700, we end up with 252.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2520, and continue the process.

Advancing to step 11:
When dividing 2520 by 408, we get 6 with a remainder of 72.
Put 6 as the next digit of the answer. 
Result so far: 176010.066
If we subtract 2448 from 2520, we get 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

After the division, we end up with 176010.066 and a remainder of 0.0072.