We're dividing 11278148 by 956 
We want to divide 11278148 by 956.

On to step 1:
1 divided by 956 is 0 with 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.
Bring next digit (1) of the dividend behind the 1 and repeat the process: 11 / 956

Going ahead to step 2:
956 goes into 11 0 times with a remainder of 11.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 11 to get 11.
Take the next digit (2) from the dividend and append it to 11, then repeat: 112 / 956

Advancing to step 3:
956 can be fit into 112 0 times, resulting in a remainder of 112.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 112 and we're left with 112.
Take the next digit (7) from the dividend and append it to 112, then repeat: 1127 / 956

Advancing to step 4:
1127 divided by 956 is 1 with a remainder of 171.
The next digit of our result is 1. 
Result so far: 1.0
If we take 956 away from 1127, we end up with 171.
Grab the next digit (8) from the dividend, add it to 171, then carry on: 1718 / 956

Let's proceed to step 5:
If we divide 1718 by 956, we get 1 and a remainder of 762.
The number 1 becomes the next digit in our result. 
Result so far: 11.0
If we take 956 away from 1718, we end up with 762.
Fetch the next digit (1) from the dividend, attach it to 762 and continue: 7621 / 956

On to step 6:
When dividing 7621 by 956, we get 7 with a remainder of 929.
Use 7 as the next digit of our solution. 
Result so far: 117.0
If we subtract 6692 from 7621, we get 929.
Include the next digit (4) from the dividend after 929, then repeat: 9294 / 956

Step 7:
If we divide 9294 by 956, we get 9 and a remainder of 690.
Write down 9 as next digit of the result. 
Result so far: 1179.0
Subtracting 8604 from 9294 leaves us with 690.
Grab the next digit (8) from the dividend, add it to 690, then carry on: 6908 / 956

Moving on to step 8:
956 can be fit into 6908 7 times, resulting in a remainder of 216.
Put 7 as the next digit of the answer. 
Result so far: 11797.0
The remainder is 216 after subtracting 6692 from 6908.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2160, and continue the process.

On to step 9:
2160 divided by 956 is 2 with a remainder of 248.
Use 2 as the next digit of our solution. 
Result so far: 11797.2
If we take 1912 away from 2160, we end up with 248.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2480, and continue the process.

Advancing to step 10:
2480 divided by 956 is 2 with a remainder of 568.
Record the quotient 2 as the next digit in the result. 
Result so far: 11797.22
Subtracting 1912 from 2480 leaves us with 568.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5680, and continue the process.

In conclusion, the division gives 11797.22 with a balance of 0.568.