We look at the division of 2582 by 49 
We want to divide 2582 by 49.

Let's proceed to step 1:
The number 49 fits into 2 0 times, leaving a remainder of 2.
Record the quotient 0 as the next digit in the result. 
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 / 49

Going ahead to step 2:
49 goes into 25 0 times with a remainder of 25.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 25, we get 25.
Append the next digit (8) from the dividend to 25 and continue with: 258 / 49

On to step 3:
258 divided by 49 is 5 with a remainder of 13.
The next digit of our result is 5. 
Result so far: 5.0
Deduct 245 from 258 and we're left with 13.
Take the next digit (2) from the dividend and append it to 13, then repeat: 132 / 49

Moving on to step 4:
The number 49 fits into 132 2 times, leaving a remainder of 34.
The number 2 becomes the next digit in our result. 
Result so far: 52.0
Subtracting 98 from 132 leaves us with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Going ahead to step 5:
49 goes into 340 6 times with a remainder of 46.
Write down 6 as next digit of the result. 
Result so far: 52.6
Deduct 294 from 340 and we're left with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Moving on to step 6:
49 goes into 460 9 times with a remainder of 19.
Record the quotient 9 as the next digit in the result. 
Result so far: 52.69
Subtract 441 from 460 to get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Let's proceed to step 7:
The number 49 fits into 190 3 times, leaving a remainder of 43.
The next digit of our result is 3. 
Result so far: 52.693
Deduct 147 from 190 and we're left with 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

On to step 8:
430 divided by 49 is 8 with a remainder of 38.
Record the quotient 8 as the next digit in the result. 
Result so far: 52.6938
Deduct 392 from 430 and we're left 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.

Advancing to step 9:
If we divide 380 by 49, we get 7 and a remainder of 37.
Use 7 as the next digit of our solution. 
Result so far: 52.69387
Deduct 343 from 380 and we're left with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Let's proceed to step 10:
If we divide 370 by 49, we get 7 and a remainder of 27.
Put 7 as the next digit of the answer. 
Result so far: 52.693877
Subtracting 343 from 370 leaves us with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

The final result is 52.693877 with a remainder of 2.7e-06.