We're dividing 588310 by 51 
Our goal is to divide 588310 by 51.

Let's proceed to step 1:
The number 51 fits into 5 0 times, leaving a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Bring next digit (8) of the dividend behind the 5 and repeat the process: 58 / 51

Advancing to step 2:
51 can be fit into 58 1 times, resulting in a remainder of 7.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Deduct 51 from 58 and we're left with 7.
Bring next digit (8) of the dividend behind the 7 and repeat the process: 78 / 51

On to step 3:
51 goes into 78 1 times with a remainder of 27.
Record the quotient 1 as the next digit in the result. 
Result so far: 11.0
If we take 51 away from 78, we end up with 27.
Grab the next digit (3) from the dividend, add it to 27, then carry on: 273 / 51

Going ahead to step 4:
The number 51 fits into 273 5 times, leaving a remainder of 18.
Put 5 as the next digit of the answer. 
Result so far: 115.0
If we take 255 away from 273, we end up with 18.
Take the next digit (1) from the dividend and append it to 18, then repeat: 181 / 51

Advancing to step 5:
When dividing 181 by 51, we get 3 with a remainder of 28.
The next digit of our result is 3. 
Result so far: 1153.0
If we subtract 153 from 181, we get 28.
Include the next digit (0) from the dividend after 28, then repeat: 280 / 51

On to step 6:
When dividing 280 by 51, we get 5 with a remainder of 25.
Put 5 as the next digit of the answer. 
Result so far: 11535.0
If we subtract 255 from 280, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Advancing to step 7:
The number 51 fits into 250 4 times, leaving a remainder of 46.
Put 4 as the next digit of the answer. 
Result so far: 11535.4
Deduct 204 from 250 and we're left with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Going ahead to step 8:
51 can be fit into 460 9 times, resulting in a remainder of 1.
The number 9 becomes the next digit in our result. 
Result so far: 11535.49
Deduct 459 from 460 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 9:
If we divide 10 by 51, we get 0 and a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 11535.49
If we take 0 away from 10, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 10:
100 divided by 51 is 1 with a remainder of 49.
Record the quotient 1 as the next digit in the result. 
Result so far: 11535.4901
If we subtract 51 from 100, we get 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Moving on to step 11:
490 divided by 51 is 9 with a remainder of 31.
The next digit of our result is 9. 
Result so far: 11535.49019
The remainder is 31 after subtracting 459 from 490.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Going ahead to step 12:
The number 51 fits into 310 6 times, leaving a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 11535.490196
If we subtract 306 from 310, we get 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 13:
The number 51 fits into 40 0 times, leaving a remainder of 40.
The number 0 becomes the next digit in our result. 
Result so far: 11535.490196
If we take 0 away from 40, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 14:
51 goes into 400 7 times with a remainder of 43.
The number 7 becomes the next digit in our result. 
Result so far: 11535.49019607
Subtract 357 from 400 to get 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

The final outcome is 11535.49019607, with a leftover of 4.3e-08.