Let's divide 7582 by 87
Our goal is to divide 7582 by 87.

Step 1:
87 can be fit into 7 0 times, resulting in a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Take the next digit (5) from the dividend and append it to 7, then repeat: 75 / 87

Step 2:
If we divide 75 by 87, we get 0 and a remainder of 75.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 75, we get 75.
Grab the next digit (8) from the dividend, add it to 75, then carry on: 758 / 87

Step 3:
If we divide 758 by 87, we get 8 and a remainder of 62.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
Subtract 696 from 758 to get 62.
Take the next digit (2) from the dividend and append it to 62, then repeat: 622 / 87

Moving on to step 4:
The number 87 fits into 622 7 times, leaving a remainder of 13.
Put 7 as the next digit of the answer. 
Result so far: 87.0
Subtract 609 from 622 to get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Let's proceed to step 5:
87 can be fit into 130 1 times, resulting in a remainder of 43.
Use 1 as the next digit of our solution. 
Result so far: 87.1
The remainder is 43 after subtracting 87 from 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Step 6:
87 can be fit into 430 4 times, resulting in a remainder of 82.
The next digit of our result is 4. 
Result so far: 87.14
If we subtract 348 from 430, we get 82.
Since there are no more digits in the dividend, we add a zero to the remainder making it 820, and continue the process.

Step 7:
87 can be fit into 820 9 times, resulting in a remainder of 37.
The number 9 becomes the next digit in our result. 
Result so far: 87.149
If we subtract 783 from 820, we get 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Moving on to step 8:
370 divided by 87 is 4 with a remainder of 22.
The next digit of our result is 4. 
Result so far: 87.1494
Deduct 348 from 370 and we're left with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Advancing to step 9:
If we divide 220 by 87, we get 2 and a remainder of 46.
The next digit of our result is 2. 
Result so far: 87.14942
Subtracting 174 from 220 leaves us 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.

Let's proceed to step 10:
87 can be fit into 460 5 times, resulting in a remainder of 25.
The next digit of our result is 5. 
Result so far: 87.149425
Subtract 435 from 460 to get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Going ahead to step 11:
250 divided by 87 is 2 with a remainder of 76.
The number 2 becomes the next digit in our result. 
Result so far: 87.1494252
If we take 174 away from 250, we end up with 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

On to step 12:
760 divided by 87 is 8 with a remainder of 64.
The number 8 becomes the next digit in our result. 
Result so far: 87.14942528
Subtracting 696 from 760 leaves us with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

The final result is 87.14942528 with a remainder of 6.4e-08.