We're dividing 389174 by 3 
We're looking to find how many times 3 goes into 389174.

Going ahead to step 1:
3 divided by 3 is 1 with a remainder of 0.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we subtract 3 from 3, we get 0.
Grab the next digit (8) from the dividend, add it to 0, then carry on: 8 / 3

Going ahead to step 2:
3 can be fit into 8 2 times, resulting in a remainder of 2.
The number 2 becomes the next digit in our result. 
Result so far: 12.0
If we subtract 6 from 8, we get 2.
Grab the next digit (9) from the dividend, add it to 2, then carry on: 29 / 3

Step 3:
When dividing 29 by 3, we get 9 with a remainder of 2.
Use 9 as the next digit of our solution. 
Result so far: 129.0
Deduct 27 from 29 and we're left with 2.
Take the next digit (1) from the dividend and append it to 2, then repeat: 21 / 3

Going ahead to step 4:
3 can be fit into 21 7 times, resulting in a remainder of 0.
Use 7 as the next digit of our solution. 
Result so far: 1297.0
Deduct 21 from 21 and we're left with 0.
Take the next digit (7) from the dividend and append it to 0, then repeat: 7 / 3

On to step 5:
The number 3 fits into 7 2 times, leaving a remainder of 1.
The number 2 becomes the next digit in our result. 
Result so far: 12972.0
Subtract 6 from 7 to get 1.
Bring next digit (4) of the dividend behind the 1 and repeat the process: 14 / 3

Going ahead to step 6:
3 can be fit into 14 4 times, resulting in a remainder of 2.
Record the quotient 4 as the next digit in the result. 
Result so far: 129724.0
Subtract 12 from 14 to 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.

Moving on to step 7:
When dividing 20 by 3, we get 6 with a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 129724.6
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.

Going ahead to step 8:
When dividing 20 by 3, we get 6 with a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 129724.66
The remainder is 2 after subtracting 18 from 20.
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 129724.66, and the remainder is 0.002.