9584 ÷ 51 
We're looking to find how many times 51 goes into 9584.

Moving on to step 1:
9 divided by 51 is 0 with a remainder of 9.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 9, we get 9.
Fetch the next digit (5) from the dividend, attach it to 9 and continue: 95 / 51

Advancing to step 2:
51 can be fit into 95 1 times, resulting in a remainder of 44.
The next digit of our result is 1. 
Result so far: 1.0
The remainder is 44 after subtracting 51 from 95.
Include the next digit (8) from the dividend after 44, then repeat: 448 / 51

Let's proceed to step 3:
51 goes into 448 8 times with a remainder of 40.
Record the quotient 8 as the next digit in the result. 
Result so far: 18.0
If we take 408 away from 448, we end up with 40.
Bring next digit (4) of the dividend behind the 40 and repeat the process: 404 / 51

Step 4:
The number 51 fits into 404 7 times, leaving a remainder of 47.
The number 7 becomes the next digit in our result. 
Result so far: 187.0
If we take 357 away from 404, we end up with 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Moving on to step 5:
51 goes into 470 9 times with a remainder of 11.
The next digit of our result is 9. 
Result so far: 187.9
Subtract 459 from 470 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Step 6:
If we divide 110 by 51, we get 2 and a remainder of 8.
Put 2 as the next digit of the answer. 
Result so far: 187.92
If we subtract 102 from 110, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 7:
The number 51 fits into 80 1 times, leaving a remainder of 29.
Write down 1 as next digit of the result. 
Result so far: 187.921
If we take 51 away from 80, we end up 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:
51 can be fit into 290 5 times, resulting in a remainder of 35.
Write down 5 as next digit of the result. 
Result so far: 187.9215
Subtract 255 from 290 to get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Step 9:
If we divide 350 by 51, we get 6 and a remainder of 44.
Record the quotient 6 as the next digit in the result. 
Result so far: 187.92156
Deduct 306 from 350 and we're left with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Advancing to step 10:
51 can be fit into 440 8 times, resulting in a remainder of 32.
Write down 8 as next digit of the result. 
Result so far: 187.921568
The remainder is 32 after subtracting 408 from 440.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

On to step 11:
51 can be fit into 320 6 times, resulting in a remainder of 14.
Write down 6 as next digit of the result. 
Result so far: 187.9215686
Subtract 306 from 320 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 12:
51 can be fit into 140 2 times, resulting in a remainder of 38.
The number 2 becomes the next digit in our result. 
Result so far: 187.92156862
Subtracting 102 from 140 leaves us 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.

The final result is 187.92156862 with a remainder of 3.8e-08.