We're dividing 1152091 by 586 
Our goal is to divide 1152091 by 586.

Let's proceed to step 1:
586 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Bring next digit (1) of the dividend behind the 1 and repeat the process: 11 / 586

Moving on to step 2:
If we divide 11 by 586, we get 0 and a remainder of 11.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 11, we end up with 11.
Grab the next digit (5) from the dividend, add it to 11, then carry on: 115 / 586

Let's proceed to step 3:
When dividing 115 by 586, we get 0 with a remainder of 115.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 115 to get 115.
Include the next digit (2) from the dividend after 115, then repeat: 1152 / 586

Advancing to step 4:
586 can be fit into 1152 1 times, resulting in a remainder of 566.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we take 586 away from 1152, we end up with 566.
Take the next digit (0) from the dividend and append it to 566, then repeat: 5660 / 586

Moving on to step 5:
5660 divided by 586 is 9 with a remainder of 386.
The number 9 becomes the next digit in our result. 
Result so far: 19.0
Deduct 5274 from 5660 and we're left with 386.
Bring next digit (9) of the dividend behind the 386 and repeat the process: 3869 / 586

Step 6:
When dividing 3869 by 586, we get 6 with a remainder of 353.
Use 6 as the next digit of our solution. 
Result so far: 196.0
If we subtract 3516 from 3869, we get 353.
Take the next digit (1) from the dividend and append it to 353, then repeat: 3531 / 586

Moving on to step 7:
The number 586 fits into 3531 6 times, leaving a remainder of 15.
Record the quotient 6 as the next digit in the result. 
Result so far: 1966.0
Deduct 3516 from 3531 and we're left with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Step 8:
586 goes into 150 0 times with a remainder of 150.
Put 0 as the next digit of the answer. 
Result so far: 1966.0
If we subtract 0 from 150, we get 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1500, and continue the process.

Moving on to step 9:
If we divide 1500 by 586, we get 2 and a remainder of 328.
Write down 2 as next digit of the result. 
Result so far: 1966.02
Subtracting 1172 from 1500 leaves us with 328.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3280, and continue the process.

On to step 10:
3280 divided by 586 is 5 with a remainder of 350.
Write down 5 as next digit of the result. 
Result so far: 1966.025
Subtract 2930 from 3280 to get 350.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3500, and continue the process.

Going ahead to step 11:
586 can be fit into 3500 5 times, resulting in a remainder of 570.
Use 5 as the next digit of our solution. 
Result so far: 1966.0255
Subtracting 2930 from 3500 leaves us with 570.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5700, and continue the process.

The quotient of the division is 1966.0255, and the remainder is 0.0057.