2552342 ÷ 584 
We're looking to find how many times 584 goes into 2552342.

Going ahead to step 1:
If we divide 2 by 584, we get 0 and a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Append the next digit (5) from the dividend to 2 and continue with: 25 / 584

Advancing to step 2:
The number 584 fits into 25 0 times, leaving a remainder of 25.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 25 and we're left with 25.
Take the next digit (5) from the dividend and append it to 25, then repeat: 255 / 584

Advancing to step 3:
When dividing 255 by 584, we get 0 with a remainder of 255.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 255 leaves us with 255.
Bring next digit (2) of the dividend behind the 255 and repeat the process: 2552 / 584

Let's proceed to step 4:
2552 divided by 584 is 4 with a remainder of 216.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
If we take 2336 away from 2552, we end up with 216.
Grab the next digit (3) from the dividend, add it to 216, then carry on: 2163 / 584

Going ahead to step 5:
584 goes into 2163 3 times with a remainder of 411.
The number 3 becomes the next digit in our result. 
Result so far: 43.0
If we subtract 1752 from 2163, we get 411.
Include the next digit (4) from the dividend after 411, then repeat: 4114 / 584

Going ahead to step 6:
584 goes into 4114 7 times with a remainder of 26.
Write down 7 as next digit of the result. 
Result so far: 437.0
The remainder is 26 after subtracting 4088 from 4114.
Bring next digit (2) of the dividend behind the 26 and repeat the process: 262 / 584

Let's proceed to step 7:
If we divide 262 by 584, we get 0 and a remainder of 262.
Use 0 as the next digit of our solution. 
Result so far: 4370.0
The remainder is 262 after subtracting 0 from 262.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2620, and continue the process.

Let's proceed to step 8:
584 can be fit into 2620 4 times, resulting in a remainder of 284.
The next digit of our result is 4. 
Result so far: 4370.4
The remainder is 284 after subtracting 2336 from 2620.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2840, and continue the process.

Step 9:
If we divide 2840 by 584, we get 4 and a remainder of 504.
The number 4 becomes the next digit in our result. 
Result so far: 4370.44
Subtracting 2336 from 2840 leaves us with 504.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5040, and continue the process.

After the division, we end up with 4370.44 and a remainder of 0.504.