Let's divide 310105 by 513
Our goal is to divide 310105 by 513.

Going ahead to step 1:
When dividing 3 by 513, we get 0 with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Bring next digit (1) of the dividend behind the 3 and repeat the process: 31 / 513

On to step 2:
The number 513 fits into 31 0 times, leaving a remainder of 31.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 31 to get 31.
Grab the next digit (0) from the dividend, add it to 31, then carry on: 310 / 513

Step 3:
When dividing 310 by 513, 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.
Include the next digit (1) from the dividend after 310, then repeat: 3101 / 513

On to step 4:
The number 513 fits into 3101 6 times, leaving a remainder of 23.
Put 6 as the next digit of the answer. 
Result so far: 6.0
Subtract 3078 from 3101 to get 23.
Fetch the next digit (0) from the dividend, attach it to 23 and continue: 230 / 513

Moving on to step 5:
513 can be fit into 230 0 times, resulting in a remainder of 230.
Put 0 as the next digit of the answer. 
Result so far: 60.0
Deduct 0 from 230 and we're left with 230.
Bring next digit (5) of the dividend behind the 230 and repeat the process: 2305 / 513

Advancing to step 6:
The number 513 fits into 2305 4 times, leaving a remainder of 253.
The next digit of our result is 4. 
Result so far: 604.0
The remainder is 253 after subtracting 2052 from 2305.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2530, and continue the process.

Advancing to step 7:
When dividing 2530 by 513, we get 4 with a remainder of 478.
Put 4 as the next digit of the answer. 
Result so far: 604.4
If we take 2052 away from 2530, we end up with 478.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4780, and continue the process.

Advancing to step 8:
513 goes into 4780 9 times with a remainder of 163.
Write down 9 as next digit of the result. 
Result so far: 604.49
Subtracting 4617 from 4780 leaves us with 163.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1630, and continue the process.

Moving on to step 9:
The number 513 fits into 1630 3 times, leaving a remainder of 91.
Write down 3 as next digit of the result. 
Result so far: 604.493
The remainder is 91 after subtracting 1539 from 1630.
Since there are no more digits in the dividend, we add a zero to the remainder making it 910, and continue the process.

On to step 10:
If we divide 910 by 513, we get 1 and a remainder of 397.
The next digit of our result is 1. 
Result so far: 604.4931
Deduct 513 from 910 and we're left with 397.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3970, and continue the process.

Going ahead to step 11:
When dividing 3970 by 513, we get 7 with a remainder of 379.
Record the quotient 7 as the next digit in the result. 
Result so far: 604.49317
If we subtract 3591 from 3970, we get 379.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3790, and continue the process.

Let's proceed to step 12:
If we divide 3790 by 513, we get 7 and a remainder of 199.
Record the quotient 7 as the next digit in the result. 
Result so far: 604.493177
Subtract 3591 from 3790 to get 199.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1990, and continue the process.

The final result is 604.493177 with a remainder of 1.99e-05.