309373 divided by 3 
Our goal is to divide 309373 by 3.

Step 1:
3 divided by 3 is 1 with a remainder of 0.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 3 from 3, we get 0.
Append the next digit (0) from the dividend to 0 and continue with: 0 / 3

Moving on to step 2:
When dividing 0 by 3, we get 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
Subtracting 0 from 0 leaves us with 0.
Append the next digit (9) from the dividend to 0 and continue with: 9 / 3

On to step 3:
9 divided by 3 is 3 with a remainder of 0.
The next digit of our result is 3. 
Result so far: 103.0
Subtract 9 from 9 to get 0.
Fetch the next digit (3) from the dividend, attach it to 0 and continue: 3 / 3

Let's proceed to step 4:
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: 1031.0
Deduct 3 from 3 and we're left with 0.
Take the next digit (7) from the dividend and append it to 0, then repeat: 7 / 3

Moving on to step 5:
3 can be fit into 7 2 times, resulting in a remainder of 1.
Record the quotient 2 as the next digit in the result. 
Result so far: 10312.0
The remainder is 1 after subtracting 6 from 7.
Fetch the next digit (3) from the dividend, attach it to 1 and continue: 13 / 3

Advancing to step 6:
3 goes into 13 4 times with a remainder of 1.
The next digit of our result is 4. 
Result so far: 103124.0
If we take 12 away from 13, 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.

On to step 7:
When dividing 10 by 3, we get 3 with a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 103124.3
Subtract 9 from 10 to 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.

Advancing to step 8:
3 can be fit into 10 3 times, resulting in a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 103124.33
Deduct 9 from 10 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.

The quotient of the division is 103124.33, and the remainder is 0.001.