We divide 346478 by 3
We want to figure out the number of times 346478 can be divided by 3.

Step 1:
3 can be fit into 3 1 times, resulting in a remainder of 0.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we subtract 3 from 3, we get 0.
Grab the next digit (4) from the dividend, add it to 0, then carry on: 4 / 3

Advancing to step 2:
The number 3 fits into 4 1 times, leaving a remainder of 1.
Write down 1 as next digit of the result. 
Result so far: 11.0
The remainder is 1 after subtracting 3 from 4.
Take the next digit (6) from the dividend and append it to 1, then repeat: 16 / 3

On to step 3:
When dividing 16 by 3, we get 5 with a remainder of 1.
The next digit of our result is 5. 
Result so far: 115.0
If we subtract 15 from 16, we get 1.
Include the next digit (4) from the dividend after 1, then repeat: 14 / 3

On to step 4:
The number 3 fits into 14 4 times, leaving a remainder of 2.
The number 4 becomes the next digit in our result. 
Result so far: 1154.0
Subtract 12 from 14 to get 2.
Grab the next digit (7) from the dividend, add it to 2, then carry on: 27 / 3

Going ahead to step 5:
If we divide 27 by 3, we get 9 and a remainder of 0.
Record the quotient 9 as the next digit in the result. 
Result so far: 11549.0
Subtract 27 from 27 to get 0.
Fetch the next digit (8) from the dividend, attach it to 0 and continue: 8 / 3

Let's proceed to step 6:
3 can be fit into 8 2 times, resulting in a remainder of 2.
Write down 2 as next digit of the result. 
Result so far: 115492.0
If we subtract 6 from 8, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 7:
3 can be fit into 20 6 times, resulting in a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 115492.6
Deduct 18 from 20 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 8:
20 divided by 3 is 6 with a remainder of 2.
The next digit of our result is 6. 
Result so far: 115492.66
Deduct 18 from 20 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

The quotient of the division is 115492.66, and the remainder is 0.002.