We look at the division of 11566 by 39 
Our goal is to divide 11566 by 39.

Step 1:
39 can be fit into 1 0 times, resulting in a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Grab the next digit (1) from the dividend, add it to 1, then carry on: 11 / 39

Moving on to step 2:
The number 39 fits into 11 0 times, leaving a remainder of 11.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 11 leaves us with 11.
Take the next digit (5) from the dividend and append it to 11, then repeat: 115 / 39

Step 3:
When dividing 115 by 39, we get 2 with a remainder of 37.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
If we take 78 away from 115, we end up with 37.
Grab the next digit (6) from the dividend, add it to 37, then carry on: 376 / 39

Going ahead to step 4:
39 goes into 376 9 times with a remainder of 25.
The next digit of our result is 9. 
Result so far: 29.0
If we take 351 away from 376, we end up with 25.
Bring next digit (6) of the dividend behind the 25 and repeat the process: 256 / 39

Step 5:
If we divide 256 by 39, we get 6 and a remainder of 22.
Write down 6 as next digit of the result. 
Result so far: 296.0
If we subtract 234 from 256, we get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Going ahead to step 6:
If we divide 220 by 39, we get 5 and a remainder of 25.
The next digit of our result is 5. 
Result so far: 296.5
The remainder is 25 after subtracting 195 from 220.
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 7:
39 can be fit into 250 6 times, resulting in a remainder of 16.
Write down 6 as next digit of the result. 
Result so far: 296.56
Subtracting 234 from 250 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Moving on to step 8:
160 divided by 39 is 4 with a remainder of 4.
Write down 4 as next digit of the result. 
Result so far: 296.564
Subtracting 156 from 160 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 9:
40 divided by 39 is 1 with a remainder of 1.
Put 1 as the next digit of the answer. 
Result so far: 296.5641
Subtracting 39 from 40 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 10:
39 can be fit into 10 0 times, resulting in a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 296.5641
If we take 0 away from 10, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 11:
When dividing 100 by 39, we get 2 with a remainder of 22.
Put 2 as the next digit of the answer. 
Result so far: 296.564102
Deduct 78 from 100 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.

Moving on to step 12:
If we divide 220 by 39, we get 5 and a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 296.5641025
The remainder is 25 after subtracting 195 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Step 13:
When dividing 250 by 39, we get 6 with a remainder of 16.
Use 6 as the next digit of our solution. 
Result so far: 296.56410256
Subtracting 234 from 250 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Our division results in 296.56410256 with a remaining 1.6e-08.