We divide 378971 by 3
Let's see how many times 3 fits into 378971.

Advancing to step 1:
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: 1.0
Deduct 3 from 3 and we're left with 0.
Bring next digit (7) of the dividend behind the 0 and repeat the process: 7 / 3

On to step 2:
The number 3 fits into 7 2 times, leaving a remainder of 1.
Put 2 as the next digit of the answer. 
Result so far: 12.0
If we take 6 away from 7, we end up with 1.
Grab the next digit (8) from the dividend, add it to 1, then carry on: 18 / 3

Step 3:
When dividing 18 by 3, we get 6 with a remainder of 0.
Use 6 as the next digit of our solution. 
Result so far: 126.0
Subtract 18 from 18 to get 0.
Take the next digit (9) from the dividend and append it to 0, then repeat: 9 / 3

Going ahead to step 4:
When dividing 9 by 3, we get 3 with a remainder of 0.
Write down 3 as next digit of the result. 
Result so far: 1263.0
Deduct 9 from 9 and we're left with 0.
Take the next digit (7) from the dividend and append it to 0, then repeat: 7 / 3

Moving on to step 5:
The number 3 fits into 7 2 times, leaving a remainder of 1.
Use 2 as the next digit of our solution. 
Result so far: 12632.0
If we take 6 away from 7, we end up with 1.
Append the next digit (1) from the dividend to 1 and continue with: 11 / 3

Let's proceed to step 6:
If we divide 11 by 3, we get 3 and a remainder of 2.
Put 3 as the next digit of the answer. 
Result so far: 126323.0
Subtracting 9 from 11 leaves us 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.

Going ahead to step 7:
The number 3 fits into 20 6 times, leaving a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 126323.6
If we take 18 away from 20, 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.

Moving on to step 8:
20 divided by 3 is 6 with a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 126323.66
If we take 18 away from 20, 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.

The quotient of the division is 126323.66, and the remainder is 0.002.