We're dividing 397993 by 3 
Let's see how many times 3 fits into 397993.

Let's proceed to step 1:
3 can be fit into 3 1 times, resulting in a remainder of 0.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
The remainder is 0 after subtracting 3 from 3.
Include the next digit (9) from the dividend after 0, then repeat: 9 / 3

Going ahead to step 2:
The number 3 fits into 9 3 times, leaving a remainder of 0.
Use 3 as the next digit of our solution. 
Result so far: 13.0
The remainder is 0 after subtracting 9 from 9.
Take the next digit (7) from the dividend and append it to 0, then repeat: 7 / 3

Step 3:
3 can be fit into 7 2 times, resulting in a remainder of 1.
The next digit of our result is 2. 
Result so far: 132.0
Deduct 6 from 7 and we're left with 1.
Include the next digit (9) from the dividend after 1, then repeat: 19 / 3

Moving on to step 4:
19 divided by 3 is 6 with a remainder of 1.
Use 6 as the next digit of our solution. 
Result so far: 1326.0
Subtracting 18 from 19 leaves us with 1.
Append the next digit (9) from the dividend to 1 and continue with: 19 / 3

Going ahead to step 5:
19 divided by 3 is 6 with a remainder of 1.
Use 6 as the next digit of our solution. 
Result so far: 13266.0
Subtract 18 from 19 to get 1.
Grab the next digit (3) from the dividend, add it to 1, then carry on: 13 / 3

Step 6:
When dividing 13 by 3, we get 4 with a remainder of 1.
Use 4 as the next digit of our solution. 
Result so far: 132664.0
Deduct 12 from 13 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.

Moving on to step 7:
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: 132664.3
Subtract 9 from 10 to 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 8:
The number 3 fits into 10 3 times, leaving a remainder of 1.
The next digit of our result is 3. 
Result so far: 132664.33
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.

The quotient of the division is 132664.33, and the remainder is 0.001.