We're dividing 377169 by 3 
Our goal is to divide 377169 by 3.

Let's proceed 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
The remainder is 0 after subtracting 3 from 3.
Append the next digit (7) from the dividend to 0 and continue with: 7 / 3

Moving on to step 2:
The number 3 fits into 7 2 times, leaving a remainder of 1.
The next digit of our result is 2. 
Result so far: 12.0
Deduct 6 from 7 and we're left with 1.
Take the next digit (7) from the dividend and append it to 1, then repeat: 17 / 3

Advancing to step 3:
17 divided by 3 is 5 with a remainder of 2.
The number 5 becomes the next digit in our result. 
Result so far: 125.0
Subtract 15 from 17 to get 2.
Grab the next digit (1) from the dividend, add it to 2, then carry on: 21 / 3

On to step 4:
3 goes into 21 7 times with a remainder of 0.
Record the quotient 7 as the next digit in the result. 
Result so far: 1257.0
Subtract 21 from 21 to get 0.
Bring next digit (6) of the dividend behind the 0 and repeat the process: 6 / 3

Step 5:
3 can be fit into 6 2 times, resulting in a remainder of 0.
Write down 2 as next digit of the result. 
Result so far: 12572.0
If we subtract 6 from 6, we get 0.
Fetch the next digit (9) from the dividend, attach it to 0 and continue: 9 / 3

On to step 6:
If we divide 9 by 3, we get 3 and a remainder of 0.
The next digit of our result is 3. 
Result so far: 125723.0
Subtract 9 from 9 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 7:
If we divide 0 by 3, we get 0 and a remainder of 0.
The next digit of our result is 0. 
Result so far: 125723.0
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.

On to step 8:
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: 125723.0
Deduct 0 from 0 and we're left 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 125723.0 with a balance of 0.0.