377031 ÷ 3 
We want to figure out the number of times 377031 can be divided by 3.

Let's proceed to step 1:
When dividing 3 by 3, we get 1 with a remainder of 0.
The next digit of our result is 1. 
Result so far: 1.0
If we take 3 away from 3, we end up with 0.
Append the next digit (7) from the dividend to 0 and continue with: 7 / 3

On to step 2:
3 goes into 7 2 times with a remainder of 1.
Write down 2 as next digit of the result. 
Result so far: 12.0
If we take 6 away from 7, we end up with 1.
Fetch the next digit (7) from the dividend, attach it to 1 and continue: 17 / 3

Advancing to step 3:
3 goes into 17 5 times with a remainder of 2.
Record the quotient 5 as the next digit in the result. 
Result so far: 125.0
Subtract 15 from 17 to get 2.
Bring next digit (0) of the dividend behind the 2 and repeat the process: 20 / 3

On to step 4:
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: 1256.0
Subtract 18 from 20 to get 2.
Fetch the next digit (3) from the dividend, attach it to 2 and continue: 23 / 3

Step 5:
3 can be fit into 23 7 times, resulting in a remainder of 2.
Use 7 as the next digit of our solution. 
Result so far: 12567.0
Deduct 21 from 23 and we're left with 2.
Take the next digit (1) from the dividend and append it to 2, then repeat: 21 / 3

Let's proceed to step 6:
3 goes into 21 7 times with a remainder of 0.
Write down 7 as next digit of the result. 
Result so far: 125677.0
Subtracting 21 from 21 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.

Step 7:
3 can be fit into 0 0 times, resulting in a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 125677.0
Subtracting 0 from 0 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.

Moving on to step 8:
3 goes into 0 0 times with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 125677.0
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.

After the division, we end up with 125677.0 and a remainder of 0.0.