We look at the division of 587186 by 75 
We're looking to find how many times 75 goes into 587186.

Going ahead to step 1:
5 divided by 75 is 0 with a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Take the next digit (8) from the dividend and append it to 5, then repeat: 58 / 75

On to step 2:
If we divide 58 by 75, we get 0 and a remainder of 58.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 58 and we're left with 58.
Grab the next digit (7) from the dividend, add it to 58, then carry on: 587 / 75

Moving on to step 3:
75 goes into 587 7 times with a remainder of 62.
Use 7 as the next digit of our solution. 
Result so far: 7.0
Deduct 525 from 587 and we're left with 62.
Append the next digit (1) from the dividend to 62 and continue with: 621 / 75

Let's proceed to step 4:
When dividing 621 by 75, we get 8 with a remainder of 21.
Put 8 as the next digit of the answer. 
Result so far: 78.0
Subtract 600 from 621 to get 21.
Append the next digit (8) from the dividend to 21 and continue with: 218 / 75

On to step 5:
When dividing 218 by 75, we get 2 with a remainder of 68.
The number 2 becomes the next digit in our result. 
Result so far: 782.0
If we take 150 away from 218, we end up with 68.
Append the next digit (6) from the dividend to 68 and continue with: 686 / 75

On to step 6:
When dividing 686 by 75, we get 9 with a remainder of 11.
Put 9 as the next digit of the answer. 
Result so far: 7829.0
If we subtract 675 from 686, we 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.

Going ahead to step 7:
75 goes into 110 1 times with a remainder of 35.
Use 1 as the next digit of our solution. 
Result so far: 7829.1
If we subtract 75 from 110, we 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 8:
75 can be fit into 350 4 times, resulting in a remainder of 50.
Put 4 as the next digit of the answer. 
Result so far: 7829.14
Subtract 300 from 350 to get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Advancing to step 9:
When dividing 500 by 75, we get 6 with a remainder of 50.
Put 6 as the next digit of the answer. 
Result so far: 7829.146
If we take 450 away from 500, we end up with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Step 10:
When dividing 500 by 75, we get 6 with a remainder of 50.
Use 6 as the next digit of our solution. 
Result so far: 7829.1466
If we take 450 away from 500, we end up with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

The final result is 7829.1466 with a remainder of 0.0005.