31682166 ÷ 405 
Let's see how many times 405 fits into 31682166.

On to step 1:
405 can be fit into 3 0 times, resulting in a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Take the next digit (1) from the dividend and append it to 3, then repeat: 31 / 405

Step 2:
405 goes into 31 0 times with a remainder of 31.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 31 after subtracting 0 from 31.
Bring next digit (6) of the dividend behind the 31 and repeat the process: 316 / 405

Step 3:
The number 405 fits into 316 0 times, leaving a remainder of 316.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 316 leaves us with 316.
Append the next digit (8) from the dividend to 316 and continue with: 3168 / 405

Going ahead to step 4:
When dividing 3168 by 405, we get 7 with a remainder of 333.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
Subtract 2835 from 3168 to get 333.
Take the next digit (2) from the dividend and append it to 333, then repeat: 3332 / 405

On to step 5:
When dividing 3332 by 405, we get 8 with a remainder of 92.
The number 8 becomes the next digit in our result. 
Result so far: 78.0
If we take 3240 away from 3332, we end up with 92.
Fetch the next digit (1) from the dividend, attach it to 92 and continue: 921 / 405

Step 6:
921 divided by 405 is 2 with a remainder of 111.
The number 2 becomes the next digit in our result. 
Result so far: 782.0
Deduct 810 from 921 and we're left with 111.
Take the next digit (6) from the dividend and append it to 111, then repeat: 1116 / 405

On to step 7:
If we divide 1116 by 405, we get 2 and a remainder of 306.
Put 2 as the next digit of the answer. 
Result so far: 7822.0
Subtract 810 from 1116 to get 306.
Take the next digit (6) from the dividend and append it to 306, then repeat: 3066 / 405

Advancing to step 8:
3066 divided by 405 is 7 with a remainder of 231.
Use 7 as the next digit of our solution. 
Result so far: 78227.0
Subtract 2835 from 3066 to get 231.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2310, and continue the process.

Moving on to step 9:
The number 405 fits into 2310 5 times, leaving a remainder of 285.
Record the quotient 5 as the next digit in the result. 
Result so far: 78227.5
If we subtract 2025 from 2310, we get 285.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2850, and continue the process.

Moving on to step 10:
405 goes into 2850 7 times with a remainder of 15.
The next digit of our result is 7. 
Result so far: 78227.57
If we take 2835 away from 2850, we end up with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Step 11:
When dividing 150 by 405, we get 0 with a remainder of 150.
Use 0 as the next digit of our solution. 
Result so far: 78227.57
If we subtract 0 from 150, we get 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1500, and continue the process.

Step 12:
The number 405 fits into 1500 3 times, leaving a remainder of 285.
Write down 3 as next digit of the result. 
Result so far: 78227.5703
Deduct 1215 from 1500 and we're left with 285.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2850, and continue the process.

Let's proceed to step 13:
The number 405 fits into 2850 7 times, leaving a remainder of 15.
Put 7 as the next digit of the answer. 
Result so far: 78227.57037
If we take 2835 away from 2850, we end up with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

On to step 14:
If we divide 150 by 405, we get 0 and a remainder of 150.
Record the quotient 0 as the next digit in the result. 
Result so far: 78227.57037
If we subtract 0 from 150, we get 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1500, and continue the process.

Advancing to step 15:
The number 405 fits into 1500 3 times, leaving a remainder of 285.
Write down 3 as next digit of the result. 
Result so far: 78227.5703703
If we subtract 1215 from 1500, we get 285.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2850, and continue the process.

On to step 16:
The number 405 fits into 2850 7 times, leaving a remainder of 15.
Write down 7 as next digit of the result. 
Result so far: 78227.57037037
The remainder is 15 after subtracting 2835 from 2850.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

In conclusion, the division gives 78227.57037037 with a balance of 1.5e-08.