Let's divide 364321 by 3
We're looking to find how many times 3 goes into 364321.

Step 1:
If we divide 3 by 3, we get 1 and a remainder of 0.
The next digit of our result is 1. 
Result so far: 1.0
Subtracting 3 from 3 leaves us with 0.
Bring next digit (6) of the dividend behind the 0 and repeat the process: 6 / 3

Step 2:
3 can be fit into 6 2 times, resulting in a remainder of 0.
Record the quotient 2 as the next digit in the result. 
Result so far: 12.0
The remainder is 0 after subtracting 6 from 6.
Append the next digit (4) from the dividend to 0 and continue with: 4 / 3

Let's proceed to step 3:
3 can be fit into 4 1 times, resulting in a remainder of 1.
The number 1 becomes the next digit in our result. 
Result so far: 121.0
Subtracting 3 from 4 leaves us with 1.
Fetch the next digit (3) from the dividend, attach it to 1 and continue: 13 / 3

Let's proceed to step 4:
3 can be fit into 13 4 times, resulting in a remainder of 1.
Write down 4 as next digit of the result. 
Result so far: 1214.0
Subtract 12 from 13 to get 1.
Append the next digit (2) from the dividend to 1 and continue with: 12 / 3

Advancing to step 5:
3 goes into 12 4 times with a remainder of 0.
Use 4 as the next digit of our solution. 
Result so far: 12144.0
If we subtract 12 from 12, we get 0.
Bring next digit (1) of the dividend behind the 0 and repeat the process: 1 / 3

Advancing to step 6:
1 divided by 3 is 0 with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 121440.0
Deduct 0 from 1 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.

Moving on to step 7:
3 goes into 10 3 times with a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 121440.3
Subtracting 9 from 10 leaves us 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.

Going ahead to step 8:
When dividing 10 by 3, we get 3 with a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 121440.33
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.

The final outcome is 121440.33, with a leftover of 0.001.