We're dividing 337519 by 474 
Our goal is to divide 337519 by 474.

Let's proceed to step 1:
When dividing 3 by 474, we get 0 with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Bring next digit (3) of the dividend behind the 3 and repeat the process: 33 / 474

Let's proceed to step 2:
474 can be fit into 33 0 times, resulting in a remainder of 33.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 33 leaves us with 33.
Include the next digit (7) from the dividend after 33, then repeat: 337 / 474

On to step 3:
When dividing 337 by 474, we get 0 with a remainder of 337.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 337 leaves us with 337.
Append the next digit (5) from the dividend to 337 and continue with: 3375 / 474

Let's proceed to step 4:
When dividing 3375 by 474, we get 7 with a remainder of 57.
Write down 7 as next digit of the result. 
Result so far: 7.0
If we subtract 3318 from 3375, we get 57.
Include the next digit (1) from the dividend after 57, then repeat: 571 / 474

On to step 5:
When dividing 571 by 474, we get 1 with a remainder of 97.
The next digit of our result is 1. 
Result so far: 71.0
Subtract 474 from 571 to get 97.
Include the next digit (9) from the dividend after 97, then repeat: 979 / 474

Going ahead to step 6:
474 can be fit into 979 2 times, resulting in a remainder of 31.
Write down 2 as next digit of the result. 
Result so far: 712.0
Deduct 948 from 979 and we're left with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Step 7:
If we divide 310 by 474, we get 0 and a remainder of 310.
Record the quotient 0 as the next digit in the result. 
Result so far: 712.0
Subtract 0 from 310 to get 310.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3100, and continue the process.

Moving on to step 8:
If we divide 3100 by 474, we get 6 and a remainder of 256.
Use 6 as the next digit of our solution. 
Result so far: 712.06
The remainder is 256 after subtracting 2844 from 3100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2560, and continue the process.

Moving on to step 9:
When dividing 2560 by 474, we get 5 with a remainder of 190.
Put 5 as the next digit of the answer. 
Result so far: 712.065
If we take 2370 away from 2560, we end up with 190.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1900, and continue the process.

On to step 10:
The number 474 fits into 1900 4 times, leaving a remainder of 4.
The next digit of our result is 4. 
Result so far: 712.0654
Deduct 1896 from 1900 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 11:
If we divide 40 by 474, we get 0 and a remainder of 40.
Record the quotient 0 as the next digit in the result. 
Result so far: 712.0654
The remainder is 40 after subtracting 0 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 12:
474 can be fit into 400 0 times, resulting in a remainder of 400.
Put 0 as the next digit of the answer. 
Result so far: 712.0654
Deduct 0 from 400 and we're left with 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4000, and continue the process.

In conclusion, the division gives 712.0654 with a balance of 4e-05.