Let's divide 379097 by 3
Our goal is to divide 379097 by 3.

Advancing to step 1:
The number 3 fits into 3 1 times, leaving 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.
Fetch the next digit (7) from the dividend, attach it to 0 and continue: 7 / 3

Going ahead to step 2:
If we divide 7 by 3, we get 2 and a remainder of 1.
The number 2 becomes the next digit in our result. 
Result so far: 12.0
Subtracting 6 from 7 leaves us with 1.
Grab the next digit (9) from the dividend, add it to 1, then carry on: 19 / 3

Advancing to step 3:
When dividing 19 by 3, we get 6 with a remainder of 1.
Use 6 as the next digit of our solution. 
Result so far: 126.0
If we subtract 18 from 19, we get 1.
Fetch the next digit (0) from the dividend, attach it to 1 and continue: 10 / 3

Advancing to step 4:
3 goes into 10 3 times with a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 1263.0
If we subtract 9 from 10, we get 1.
Include the next digit (9) from the dividend after 1, then repeat: 19 / 3

On to step 5:
If we divide 19 by 3, we get 6 and a remainder of 1.
Put 6 as the next digit of the answer. 
Result so far: 12636.0
Deduct 18 from 19 and we're left with 1.
Fetch the next digit (7) from the dividend, attach it to 1 and continue: 17 / 3

Going ahead to step 6:
The number 3 fits into 17 5 times, leaving a remainder of 2.
Put 5 as the next digit of the answer. 
Result so far: 126365.0
Subtracting 15 from 17 leaves us 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 7:
When dividing 20 by 3, we get 6 with a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 126365.6
Subtracting 18 from 20 leaves us 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.

On to step 8:
If we divide 20 by 3, we get 6 and a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 126365.66
If we take 18 away from 20, we end up 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 final outcome is 126365.66, with a leftover of 0.002.