We're dividing 381001 by 3 
We want to figure out the number of times 381001 can be divided by 3.

Moving on to step 1:
3 goes into 3 1 times with a remainder of 0.
Put 1 as the next digit of the answer. 
Result so far: 1.0
The remainder is 0 after subtracting 3 from 3.
Grab the next digit (8) from the dividend, add it to 0, then carry on: 8 / 3

On to step 2:
3 goes into 8 2 times with a remainder of 2.
Put 2 as the next digit of the answer. 
Result so far: 12.0
Subtract 6 from 8 to get 2.
Take the next digit (1) from the dividend and append it to 2, then repeat: 21 / 3

Step 3:
3 can be fit into 21 7 times, resulting in a remainder of 0.
Write down 7 as next digit of the result. 
Result so far: 127.0
Subtract 21 from 21 to get 0.
Include the next digit (0) from the dividend after 0, then repeat: 0 / 3

Let's proceed to step 4:
3 goes into 0 0 times with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 1270.0
Subtracting 0 from 0 leaves us with 0.
Append the next digit (0) from the dividend to 0 and continue with: 0 / 3

On to step 5:
When dividing 0 by 3, we get 0 with a remainder of 0.
The next digit of our result is 0. 
Result so far: 12700.0
The remainder is 0 after subtracting 0 from 0.
Grab the next digit (1) from the dividend, add it to 0, then carry on: 1 / 3

Moving on to step 6:
1 divided by 3 is 0 with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 127000.0
If we take 0 away from 1, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 7:
3 can be fit into 10 3 times, resulting in a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 127000.3
The remainder is 1 after subtracting 9 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 8:
If we divide 10 by 3, we get 3 and a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 127000.33
Subtracting 9 from 10 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

The final outcome is 127000.33, with a leftover of 0.001.