We divide 319002 by 51
We're looking to find how many times 51 goes into 319002.

Going ahead to step 1:
When dividing 3 by 51, we get 0 with a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Append the next digit (1) from the dividend to 3 and continue with: 31 / 51

Let's proceed to step 2:
31 divided by 51 is 0 with a remainder of 31.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 31 leaves us with 31.
Fetch the next digit (9) from the dividend, attach it to 31 and continue: 319 / 51

Step 3:
51 goes into 319 6 times with a remainder of 13.
Use 6 as the next digit of our solution. 
Result so far: 6.0
The remainder is 13 after subtracting 306 from 319.
Fetch the next digit (0) from the dividend, attach it to 13 and continue: 130 / 51

Going ahead to step 4:
If we divide 130 by 51, we get 2 and a remainder of 28.
The next digit of our result is 2. 
Result so far: 62.0
If we subtract 102 from 130, we get 28.
Fetch the next digit (0) from the dividend, attach it to 28 and continue: 280 / 51

Step 5:
The number 51 fits into 280 5 times, leaving a remainder of 25.
Record the quotient 5 as the next digit in the result. 
Result so far: 625.0
Subtracting 255 from 280 leaves us with 25.
Append the next digit (2) from the dividend to 25 and continue with: 252 / 51

Let's proceed to step 6:
When dividing 252 by 51, we get 4 with a remainder of 48.
Use 4 as the next digit of our solution. 
Result so far: 6254.0
The remainder is 48 after subtracting 204 from 252.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Step 7:
If we divide 480 by 51, we get 9 and a remainder of 21.
Record the quotient 9 as the next digit in the result. 
Result so far: 6254.9
The remainder is 21 after subtracting 459 from 480.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

On to step 8:
51 can be fit into 210 4 times, resulting in a remainder of 6.
Use 4 as the next digit of our solution. 
Result so far: 6254.94
Deduct 204 from 210 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 9:
The number 51 fits into 60 1 times, leaving a remainder of 9.
Put 1 as the next digit of the answer. 
Result so far: 6254.941
If we subtract 51 from 60, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Moving on to step 10:
51 can be fit into 90 1 times, resulting in a remainder of 39.
Record the quotient 1 as the next digit in the result. 
Result so far: 6254.9411
If we subtract 51 from 90, we get 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

The final outcome is 6254.9411, with a leftover of 0.00039.