We look at the division of 310613 by 405 
We want to figure out the number of times 310613 can be divided by 405.

Step 1:
405 goes into 3 0 times with a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Grab the next digit (1) from the dividend, add it to 3, then carry on: 31 / 405

Going ahead to step 2:
405 goes into 31 0 times with a remainder of 31.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 31, we end up with 31.
Take the next digit (0) from the dividend and append it to 31, then repeat: 310 / 405

Going ahead to step 3:
When dividing 310 by 405, we get 0 with a remainder of 310.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 310, we get 310.
Fetch the next digit (6) from the dividend, attach it to 310 and continue: 3106 / 405

Let's proceed to step 4:
3106 divided by 405 is 7 with a remainder of 271.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
The remainder is 271 after subtracting 2835 from 3106.
Bring next digit (1) of the dividend behind the 271 and repeat the process: 2711 / 405

Step 5:
405 goes into 2711 6 times with a remainder of 281.
Put 6 as the next digit of the answer. 
Result so far: 76.0
If we subtract 2430 from 2711, we get 281.
Include the next digit (3) from the dividend after 281, then repeat: 2813 / 405

Advancing to step 6:
405 can be fit into 2813 6 times, resulting in a remainder of 383.
Use 6 as the next digit of our solution. 
Result so far: 766.0
Subtract 2430 from 2813 to get 383.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3830, and continue the process.

Let's proceed to step 7:
When dividing 3830 by 405, we get 9 with a remainder of 185.
Record the quotient 9 as the next digit in the result. 
Result so far: 766.9
Subtract 3645 from 3830 to get 185.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1850, and continue the process.

Moving on to step 8:
1850 divided by 405 is 4 with a remainder of 230.
The number 4 becomes the next digit in our result. 
Result so far: 766.94
Deduct 1620 from 1850 and we're left with 230.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2300, and continue the process.

On to step 9:
405 can be fit into 2300 5 times, resulting in a remainder of 275.
Record the quotient 5 as the next digit in the result. 
Result so far: 766.945
If we subtract 2025 from 2300, we get 275.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2750, and continue the process.

Moving on to step 10:
2750 divided by 405 is 6 with a remainder of 320.
The next digit of our result is 6. 
Result so far: 766.9456
Subtracting 2430 from 2750 leaves us with 320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3200, and continue the process.

Going ahead to step 11:
3200 divided by 405 is 7 with a remainder of 365.
The next digit of our result is 7. 
Result so far: 766.94567
The remainder is 365 after subtracting 2835 from 3200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3650, and continue the process.

Let's proceed to step 12:
The number 405 fits into 3650 9 times, leaving a remainder of 5.
Put 9 as the next digit of the answer. 
Result so far: 766.945679
The remainder is 5 after subtracting 3645 from 3650.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 13:
50 divided by 405 is 0 with a remainder of 50.
Record the quotient 0 as the next digit in the result. 
Result so far: 766.945679
Subtracting 0 from 50 leaves us with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

On to step 14:
When dividing 500 by 405, we get 1 with a remainder of 95.
Record the quotient 1 as the next digit in the result. 
Result so far: 766.94567901
If we subtract 405 from 500, we get 95.
Since there are no more digits in the dividend, we add a zero to the remainder making it 950, and continue the process.

The final result is 766.94567901 with a remainder of 9.5e-08.