We divide 371919 by 3
We want to divide 371919 by 3.

Advancing to step 1:
3 can be fit into 3 1 times, resulting in a remainder of 0.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we subtract 3 from 3, we get 0.
Take the next digit (7) from the dividend and append it to 0, then repeat: 7 / 3

Advancing to step 2:
If we divide 7 by 3, we get 2 and a remainder of 1.
Put 2 as the next digit of the answer. 
Result so far: 12.0
The remainder is 1 after subtracting 6 from 7.
Include the next digit (1) from the dividend after 1, then repeat: 11 / 3

Let's proceed to step 3:
When dividing 11 by 3, we get 3 with a remainder of 2.
The next digit of our result is 3. 
Result so far: 123.0
Deduct 9 from 11 and we're left with 2.
Bring next digit (9) of the dividend behind the 2 and repeat the process: 29 / 3

On to step 4:
29 divided by 3 is 9 with a remainder of 2.
Write down 9 as next digit of the result. 
Result so far: 1239.0
If we take 27 away from 29, we end up with 2.
Include the next digit (1) from the dividend after 2, then repeat: 21 / 3

Let's proceed to step 5:
The number 3 fits into 21 7 times, leaving a remainder of 0.
Write down 7 as next digit of the result. 
Result so far: 12397.0
If we subtract 21 from 21, we get 0.
Fetch the next digit (9) from the dividend, attach it to 0 and continue: 9 / 3

On to step 6:
When dividing 9 by 3, we get 3 with a remainder of 0.
The next digit of our result is 3. 
Result so far: 123973.0
Subtracting 9 from 9 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 7:
When dividing 0 by 3, we get 0 with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 123973.0
If we take 0 away from 0, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Moving on to step 8:
The number 3 fits into 0 0 times, leaving a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 123973.0
If we take 0 away from 0, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

In conclusion, the division gives 123973.0 with a balance of 0.0.