313405 ÷ 3 
We're looking to find how many times 3 goes into 313405.

On to step 1:
When dividing 3 by 3, we get 1 with a remainder of 0.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 3 away from 3, we end up with 0.
Include the next digit (1) from the dividend after 0, then repeat: 1 / 3

Going ahead to step 2:
The number 3 fits into 1 0 times, leaving a remainder of 1.
The next digit of our result is 0. 
Result so far: 10.0
Subtracting 0 from 1 leaves us with 1.
Include the next digit (3) from the dividend after 1, then repeat: 13 / 3

Moving on to step 3:
When dividing 13 by 3, we get 4 with a remainder of 1.
Put 4 as the next digit of the answer. 
Result so far: 104.0
Deduct 12 from 13 and we're left with 1.
Append the next digit (4) from the dividend to 1 and continue with: 14 / 3

Step 4:
The number 3 fits into 14 4 times, leaving a remainder of 2.
Put 4 as the next digit of the answer. 
Result so far: 1044.0
If we subtract 12 from 14, we get 2.
Bring next digit (0) of the dividend behind the 2 and repeat the process: 20 / 3

Step 5:
20 divided by 3 is 6 with a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 10446.0
If we subtract 18 from 20, we get 2.
Include the next digit (5) from the dividend after 2, then repeat: 25 / 3

Step 6:
If we divide 25 by 3, we get 8 and a remainder of 1.
The next digit of our result is 8. 
Result so far: 104468.0
Deduct 24 from 25 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 7:
10 divided by 3 is 3 with a remainder of 1.
The next digit of our result is 3. 
Result so far: 104468.3
If we take 9 away from 10, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 8:
The number 3 fits into 10 3 times, leaving a remainder of 1.
The next digit of our result is 3. 
Result so far: 104468.33
If we subtract 9 from 10, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Our division results in 104468.33 with a remaining 0.001.