We're dividing 371456 by 3 
Our goal is to divide 371456 by 3.

Going ahead to step 1:
When dividing 3 by 3, we get 1 with a remainder of 0.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtracting 3 from 3 leaves us with 0.
Grab the next digit (7) from the dividend, add it to 0, then carry on: 7 / 3

On to step 2:
7 divided by 3 is 2 with a remainder of 1.
The number 2 becomes the next digit in our result. 
Result so far: 12.0
Subtracting 6 from 7 leaves us with 1.
Grab the next digit (1) from the dividend, add it to 1, then carry on: 11 / 3

Advancing to step 3:
11 divided by 3 is 3 with a remainder of 2.
The number 3 becomes the next digit in our result. 
Result so far: 123.0
If we take 9 away from 11, we end up with 2.
Bring next digit (4) of the dividend behind the 2 and repeat the process: 24 / 3

Advancing to step 4:
The number 3 fits into 24 8 times, leaving a remainder of 0.
Write down 8 as next digit of the result. 
Result so far: 1238.0
Subtract 24 from 24 to get 0.
Fetch the next digit (5) from the dividend, attach it to 0 and continue: 5 / 3

Advancing to step 5:
The number 3 fits into 5 1 times, leaving a remainder of 2.
Put 1 as the next digit of the answer. 
Result so far: 12381.0
If we take 3 away from 5, we end up with 2.
Append the next digit (6) from the dividend to 2 and continue with: 26 / 3

Advancing to step 6:
3 can be fit into 26 8 times, resulting in a remainder of 2.
Put 8 as the next digit of the answer. 
Result so far: 123818.0
If we take 24 away from 26, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 7:
The number 3 fits into 20 6 times, leaving a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 123818.6
If we subtract 18 from 20, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 8:
3 can be fit into 20 6 times, resulting in a remainder of 2.
The next digit of our result is 6. 
Result so far: 123818.66
Deduct 18 from 20 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

The final result is 123818.66 with a remainder of 0.002.