586589 ÷ 51 
Let's see how many times 51 fits into 586589.

On to step 1:
The number 51 fits into 5 0 times, leaving a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Take the next digit (8) from the dividend and append it to 5, then repeat: 58 / 51

Let's proceed to step 2:
If we divide 58 by 51, we get 1 and a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we take 51 away from 58, we end up with 7.
Grab the next digit (6) from the dividend, add it to 7, then carry on: 76 / 51

Let's proceed to step 3:
76 divided by 51 is 1 with a remainder of 25.
Use 1 as the next digit of our solution. 
Result so far: 11.0
Subtracting 51 from 76 leaves us with 25.
Append the next digit (5) from the dividend to 25 and continue with: 255 / 51

On to step 4:
If we divide 255 by 51, we get 5 and a remainder of 0.
Write down 5 as next digit of the result. 
Result so far: 115.0
The remainder is 0 after subtracting 255 from 255.
Take the next digit (8) from the dividend and append it to 0, then repeat: 8 / 51

Moving on to step 5:
8 divided by 51 is 0 with a remainder of 8.
The next digit of our result is 0. 
Result so far: 1150.0
Deduct 0 from 8 and we're left with 8.
Grab the next digit (9) from the dividend, add it to 8, then carry on: 89 / 51

Let's proceed to step 6:
51 goes into 89 1 times with a remainder of 38.
Put 1 as the next digit of the answer. 
Result so far: 11501.0
If we take 51 away from 89, 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.

Step 7:
51 goes into 380 7 times with a remainder of 23.
Use 7 as the next digit of our solution. 
Result so far: 11501.7
Subtract 357 from 380 to get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

On to step 8:
51 goes into 230 4 times with a remainder of 26.
Put 4 as the next digit of the answer. 
Result so far: 11501.74
Subtracting 204 from 230 leaves us 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.

Let's proceed to step 9:
260 divided by 51 is 5 with a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 11501.745
If we subtract 255 from 260, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 10:
If we divide 50 by 51, we get 0 and a remainder of 50.
Use 0 as the next digit of our solution. 
Result so far: 11501.745
Deduct 0 from 50 and we're left with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Moving on to step 11:
51 can be fit into 500 9 times, resulting in a remainder of 41.
Record the quotient 9 as the next digit in the result. 
Result so far: 11501.74509
Subtract 459 from 500 to get 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Going ahead to step 12:
410 divided by 51 is 8 with a remainder of 2.
Write down 8 as next digit of the result. 
Result so far: 11501.745098
Subtract 408 from 410 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 13:
When dividing 20 by 51, we get 0 with a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 11501.745098
Subtracting 0 from 20 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 14:
When dividing 200 by 51, we get 3 with a remainder of 47.
The number 3 becomes the next digit in our result. 
Result so far: 11501.74509803
If we subtract 153 from 200, we get 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

In conclusion, the division gives 11501.74509803 with a balance of 4.7e-08.