580683 ÷ 51 
We want to figure out the number of times 580683 can be divided by 51.

Step 1:
51 can be fit into 5 0 times, resulting in a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Fetch the next digit (8) from the dividend, attach it to 5 and continue: 58 / 51

Advancing to step 2:
If we divide 58 by 51, we get 1 and a remainder of 7.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtract 51 from 58 to get 7.
Take the next digit (0) from the dividend and append it to 7, then repeat: 70 / 51

Step 3:
The number 51 fits into 70 1 times, leaving a remainder of 19.
Write down 1 as next digit of the result. 
Result so far: 11.0
If we take 51 away from 70, we end up with 19.
Bring next digit (6) of the dividend behind the 19 and repeat the process: 196 / 51

Moving on to step 4:
When dividing 196 by 51, we get 3 with a remainder of 43.
The number 3 becomes the next digit in our result. 
Result so far: 113.0
Deduct 153 from 196 and we're left with 43.
Append the next digit (8) from the dividend to 43 and continue with: 438 / 51

Moving on to step 5:
51 goes into 438 8 times with a remainder of 30.
Record the quotient 8 as the next digit in the result. 
Result so far: 1138.0
If we take 408 away from 438, we end up with 30.
Bring next digit (3) of the dividend behind the 30 and repeat the process: 303 / 51

Advancing to step 6:
51 goes into 303 5 times with a remainder of 48.
The number 5 becomes the next digit in our result. 
Result so far: 11385.0
Deduct 255 from 303 and we're left with 48.
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.
Use 9 as the next digit of our solution. 
Result so far: 11385.9
If we subtract 459 from 480, we get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Step 8:
210 divided by 51 is 4 with a remainder of 6.
Write down 4 as next digit of the result. 
Result so far: 11385.94
The remainder is 6 after subtracting 204 from 210.
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:
51 can be fit into 60 1 times, resulting in a remainder of 9.
Use 1 as the next digit of our solution. 
Result so far: 11385.941
Subtract 51 from 60 to 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.

Let's proceed to step 10:
90 divided by 51 is 1 with a remainder of 39.
The next digit of our result is 1. 
Result so far: 11385.9411
Subtract 51 from 90 to 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.

After the division, we end up with 11385.9411 and a remainder of 0.00039.