We divide 401134 by 3
Our goal is to divide 401134 by 3.

Let's proceed to step 1:
3 can be fit into 4 1 times, resulting in a remainder of 1.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we subtract 3 from 4, we get 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 3

On to step 2:
3 can be fit into 10 3 times, resulting in a remainder of 1.
The next digit of our result is 3. 
Result so far: 13.0
Subtract 9 from 10 to get 1.
Take the next digit (1) from the dividend and append it to 1, then repeat: 11 / 3

Let's proceed to step 3:
The number 3 fits into 11 3 times, leaving a remainder of 2.
The next digit of our result is 3. 
Result so far: 133.0
If we take 9 away from 11, we end up with 2.
Append the next digit (1) from the dividend to 2 and continue with: 21 / 3

Advancing to step 4:
3 can be fit into 21 7 times, resulting in a remainder of 0.
Put 7 as the next digit of the answer. 
Result so far: 1337.0
Deduct 21 from 21 and we're left with 0.
Include the next digit (3) from the dividend after 0, then repeat: 3 / 3

Going ahead to step 5:
When dividing 3 by 3, we get 1 with a remainder of 0.
Put 1 as the next digit of the answer. 
Result so far: 13371.0
The remainder is 0 after subtracting 3 from 3.
Bring next digit (4) of the dividend behind the 0 and repeat the process: 4 / 3

Advancing to step 6:
When dividing 4 by 3, we get 1 with a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 133711.0
Deduct 3 from 4 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.

On to step 7:
3 can be fit into 10 3 times, resulting in a remainder of 1.
The next digit of our result is 3. 
Result so far: 133711.3
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.

Going ahead to step 8:
3 goes into 10 3 times with a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 133711.33
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.

After the division, we end up with 133711.33 and a remainder of 0.001.