We're dividing 587362 by 75 
We're looking to find how many times 75 goes into 587362.

Advancing to step 1:
If we divide 5 by 75, we get 0 and a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Append the next digit (8) from the dividend to 5 and continue with: 58 / 75

Step 2:
When dividing 58 by 75, we get 0 with a remainder of 58.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 58 and we're left with 58.
Append the next digit (7) from the dividend to 58 and continue with: 587 / 75

Going ahead to step 3:
When dividing 587 by 75, we get 7 with a remainder of 62.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
Subtracting 525 from 587 leaves us with 62.
Bring next digit (3) of the dividend behind the 62 and repeat the process: 623 / 75

Step 4:
The number 75 fits into 623 8 times, leaving a remainder of 23.
Use 8 as the next digit of our solution. 
Result so far: 78.0
Deduct 600 from 623 and we're left with 23.
Bring next digit (6) of the dividend behind the 23 and repeat the process: 236 / 75

Moving on to step 5:
75 can be fit into 236 3 times, resulting in a remainder of 11.
Put 3 as the next digit of the answer. 
Result so far: 783.0
If we subtract 225 from 236, we get 11.
Fetch the next digit (2) from the dividend, attach it to 11 and continue: 112 / 75

Step 6:
The number 75 fits into 112 1 times, leaving a remainder of 37.
Put 1 as the next digit of the answer. 
Result so far: 7831.0
Deduct 75 from 112 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.

Advancing to step 7:
75 goes into 370 4 times with a remainder of 70.
Put 4 as the next digit of the answer. 
Result so far: 7831.4
Subtracting 300 from 370 leaves us with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Moving on to step 8:
The number 75 fits into 700 9 times, leaving a remainder of 25.
Write down 9 as next digit of the result. 
Result so far: 7831.49
If we subtract 675 from 700, we 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.

Let's proceed to step 9:
The number 75 fits into 250 3 times, leaving a remainder of 25.
Put 3 as the next digit of the answer. 
Result so far: 7831.493
Subtract 225 from 250 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.

Step 10:
If we divide 250 by 75, we get 3 and a remainder of 25.
Write down 3 as next digit of the result. 
Result so far: 7831.4933
Subtracting 225 from 250 leaves us with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

After the division, we end up with 7831.4933 and a remainder of 0.00025.