337143 ÷ 599 
We want to divide 337143 by 599.

Going ahead to step 1:
The number 599 fits into 3 0 times, leaving a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Append the next digit (3) from the dividend to 3 and continue with: 33 / 599

On to step 2:
The number 599 fits into 33 0 times, leaving a remainder of 33.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 33, we get 33.
Bring next digit (7) of the dividend behind the 33 and repeat the process: 337 / 599

Going ahead to step 3:
If we divide 337 by 599, we get 0 and a remainder of 337.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 337 leaves us with 337.
Fetch the next digit (1) from the dividend, attach it to 337 and continue: 3371 / 599

Step 4:
If we divide 3371 by 599, we get 5 and a remainder of 376.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
The remainder is 376 after subtracting 2995 from 3371.
Bring next digit (4) of the dividend behind the 376 and repeat the process: 3764 / 599

Moving on to step 5:
If we divide 3764 by 599, we get 6 and a remainder of 170.
The next digit of our result is 6. 
Result so far: 56.0
If we subtract 3594 from 3764, we get 170.
Fetch the next digit (3) from the dividend, attach it to 170 and continue: 1703 / 599

Moving on to step 6:
599 can be fit into 1703 2 times, resulting in a remainder of 505.
Record the quotient 2 as the next digit in the result. 
Result so far: 562.0
The remainder is 505 after subtracting 1198 from 1703.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5050, and continue the process.

Step 7:
If we divide 5050 by 599, we get 8 and a remainder of 258.
Put 8 as the next digit of the answer. 
Result so far: 562.8
Subtract 4792 from 5050 to get 258.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2580, and continue the process.

Moving on to step 8:
The number 599 fits into 2580 4 times, leaving a remainder of 184.
The next digit of our result is 4. 
Result so far: 562.84
The remainder is 184 after subtracting 2396 from 2580.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1840, and continue the process.

Going ahead to step 9:
599 goes into 1840 3 times with a remainder of 43.
The number 3 becomes the next digit in our result. 
Result so far: 562.843
If we take 1797 away from 1840, we end up with 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Let's proceed to step 10:
When dividing 430 by 599, we get 0 with a remainder of 430.
Use 0 as the next digit of our solution. 
Result so far: 562.843
Deduct 0 from 430 and we're left with 430.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4300, and continue the process.

On to step 11:
When dividing 4300 by 599, we get 7 with a remainder of 107.
The number 7 becomes the next digit in our result. 
Result so far: 562.84307
Subtract 4193 from 4300 to get 107.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1070, and continue the process.

On to step 12:
599 goes into 1070 1 times with a remainder of 471.
Put 1 as the next digit of the answer. 
Result so far: 562.843071
If we take 599 away from 1070, we end up with 471.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4710, and continue the process.

Moving on to step 13:
If we divide 4710 by 599, we get 7 and a remainder of 517.
The number 7 becomes the next digit in our result. 
Result so far: 562.8430717
Subtracting 4193 from 4710 leaves us with 517.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5170, and continue the process.

Going ahead to step 14:
The number 599 fits into 5170 8 times, leaving a remainder of 378.
The number 8 becomes the next digit in our result. 
Result so far: 562.84307178
Subtract 4792 from 5170 to get 378.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3780, and continue the process.

In conclusion, the division gives 562.84307178 with a balance of 3.78e-07.