127213 divided by 3 
We want to divide 127213 by 3.

Let's proceed to step 1:
3 goes into 1 0 times with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Append the next digit (2) from the dividend to 1 and continue with: 12 / 3

Moving on to step 2:
3 can be fit into 12 4 times, resulting in a remainder of 0.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
The remainder is 0 after subtracting 12 from 12.
Append the next digit (7) from the dividend to 0 and continue with: 7 / 3

Step 3:
3 goes into 7 2 times with a remainder of 1.
Use 2 as the next digit of our solution. 
Result so far: 42.0
The remainder is 1 after subtracting 6 from 7.
Take the next digit (2) from the dividend and append it to 1, then repeat: 12 / 3

Moving on to step 4:
3 can be fit into 12 4 times, resulting in a remainder of 0.
Put 4 as the next digit of the answer. 
Result so far: 424.0
Subtract 12 from 12 to get 0.
Include the next digit (1) from the dividend after 0, then repeat: 1 / 3

On to step 5:
If we divide 1 by 3, we get 0 and a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 4240.0
Subtracting 0 from 1 leaves us with 1.
Include the next digit (3) from the dividend after 1, then repeat: 13 / 3

Let's proceed to step 6:
13 divided by 3 is 4 with a remainder of 1.
Use 4 as the next digit of our solution. 
Result so far: 42404.0
Subtracting 12 from 13 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.

Moving on to step 7:
3 can be fit into 10 3 times, resulting in a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 42404.3
Deduct 9 from 10 and we're left 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.

Step 8:
The number 3 fits into 10 3 times, leaving a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 42404.33
Deduct 9 from 10 and we're left 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 42404.33 with a remaining 0.001.