75590 ÷ 12 
We want to divide 75590 by 12.

Step 1:
If we divide 7 by 12, we get 0 and a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Take the next digit (5) from the dividend and append it to 7, then repeat: 75 / 12

Going ahead to step 2:
The number 12 fits into 75 6 times, leaving a remainder of 3.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
Deduct 72 from 75 and we're left with 3.
Append the next digit (5) from the dividend to 3 and continue with: 35 / 12

Going ahead to step 3:
When dividing 35 by 12, we get 2 with a remainder of 11.
Record the quotient 2 as the next digit in the result. 
Result so far: 62.0
If we take 24 away from 35, we end up with 11.
Take the next digit (9) from the dividend and append it to 11, then repeat: 119 / 12

Advancing to step 4:
The number 12 fits into 119 9 times, leaving a remainder of 11.
Use 9 as the next digit of our solution. 
Result so far: 629.0
Subtract 108 from 119 to get 11.
Append the next digit (0) from the dividend to 11 and continue with: 110 / 12

Let's proceed to step 5:
110 divided by 12 is 9 with a remainder of 2.
Write down 9 as next digit of the result. 
Result so far: 6299.0
Deduct 108 from 110 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 6:
12 can be fit into 20 1 times, resulting in a remainder of 8.
Record the quotient 1 as the next digit in the result. 
Result so far: 6299.1
Subtracting 12 from 20 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 7:
12 goes into 80 6 times with a remainder of 8.
Record the quotient 6 as the next digit in the result. 
Result so far: 6299.16
If we take 72 away from 80, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 8:
12 can be fit into 80 6 times, resulting in a remainder of 8.
Use 6 as the next digit of our solution. 
Result so far: 6299.166
The remainder is 8 after subtracting 72 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

The final result is 6299.166 with a remainder of 0.0008.