Let's divide 381757 by 3
Our goal is to divide 381757 by 3.

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.
Take the next digit (8) from the dividend and append it to 0, then repeat: 8 / 3

Step 2:
If we divide 8 by 3, we get 2 and a remainder of 2.
The number 2 becomes the next digit in our result. 
Result so far: 12.0
Deduct 6 from 8 and we're left with 2.
Grab the next digit (1) from the dividend, add it to 2, then carry on: 21 / 3

On to step 3:
If we divide 21 by 3, we get 7 and a remainder of 0.
The next digit of our result is 7. 
Result so far: 127.0
Subtract 21 from 21 to get 0.
Fetch the next digit (7) from the dividend, attach it to 0 and continue: 7 / 3

Going ahead to step 4:
The number 3 fits into 7 2 times, leaving a remainder of 1.
Write down 2 as next digit of the result. 
Result so far: 1272.0
Subtracting 6 from 7 leaves us with 1.
Append the next digit (5) from the dividend to 1 and continue with: 15 / 3

On to step 5:
The number 3 fits into 15 5 times, leaving a remainder of 0.
Write down 5 as next digit of the result. 
Result so far: 12725.0
Deduct 15 from 15 and we're left with 0.
Include the next digit (7) from the dividend after 0, then repeat: 7 / 3

Step 6:
The number 3 fits into 7 2 times, leaving a remainder of 1.
Record the quotient 2 as the next digit in the result. 
Result so far: 127252.0
If we subtract 6 from 7, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 7:
The number 3 fits into 10 3 times, leaving a remainder of 1.
The next digit of our result is 3. 
Result so far: 127252.3
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.

Going ahead to step 8:
3 goes into 10 3 times with a remainder of 1.
The next digit of our result is 3. 
Result so far: 127252.33
If we take 9 away from 10, 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.

Our division results in 127252.33 with a remaining 0.001.