We look at the division of 582734 by 51 
We're looking to find how many times 51 goes into 582734.

On to step 1:
When dividing 5 by 51, we get 0 with a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Grab the next digit (8) from the dividend, add it to 5, then carry on: 58 / 51

Step 2:
51 can be fit into 58 1 times, resulting in a remainder of 7.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtract 51 from 58 to get 7.
Append the next digit (2) from the dividend to 7 and continue with: 72 / 51

Moving on to step 3:
The number 51 fits into 72 1 times, leaving a remainder of 21.
The number 1 becomes the next digit in our result. 
Result so far: 11.0
If we subtract 51 from 72, we get 21.
Include the next digit (7) from the dividend after 21, then repeat: 217 / 51

Step 4:
When dividing 217 by 51, we get 4 with a remainder of 13.
Write down 4 as next digit of the result. 
Result so far: 114.0
If we subtract 204 from 217, we get 13.
Grab the next digit (3) from the dividend, add it to 13, then carry on: 133 / 51

Going ahead to step 5:
51 goes into 133 2 times with a remainder of 31.
The next digit of our result is 2. 
Result so far: 1142.0
Deduct 102 from 133 and we're left with 31.
Grab the next digit (4) from the dividend, add it to 31, then carry on: 314 / 51

Moving on to step 6:
51 can be fit into 314 6 times, resulting in a remainder of 8.
Write down 6 as next digit of the result. 
Result so far: 11426.0
Subtracting 306 from 314 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 7:
51 goes into 80 1 times with a remainder of 29.
Write down 1 as next digit of the result. 
Result so far: 11426.1
Subtracting 51 from 80 leaves us with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Advancing to step 8:
When dividing 290 by 51, we get 5 with a remainder of 35.
Put 5 as the next digit of the answer. 
Result so far: 11426.15
The remainder is 35 after subtracting 255 from 290.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Moving on to step 9:
350 divided by 51 is 6 with a remainder of 44.
Write down 6 as next digit of the result. 
Result so far: 11426.156
Subtract 306 from 350 to get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

On to step 10:
When dividing 440 by 51, we get 8 with a remainder of 32.
The number 8 becomes the next digit in our result. 
Result so far: 11426.1568
Subtract 408 from 440 to get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Step 11:
51 goes into 320 6 times with a remainder of 14.
Use 6 as the next digit of our solution. 
Result so far: 11426.15686
Deduct 306 from 320 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Step 12:
51 goes into 140 2 times with a remainder of 38.
The number 2 becomes the next digit in our result. 
Result so far: 11426.156862
If we take 102 away from 140, we end up with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Let's proceed to step 13:
51 goes into 380 7 times with a remainder of 23.
Record the quotient 7 as the next digit in the result. 
Result so far: 11426.1568627
Deduct 357 from 380 and we're left with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Let's proceed to step 14:
When dividing 230 by 51, we get 4 with a remainder of 26.
The next digit of our result is 4. 
Result so far: 11426.15686274
If we take 204 away from 230, we end up with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

After the division, we end up with 11426.15686274 and a remainder of 2.6e-08.