We look at the division of 10781413 by 403 
We want to figure out the number of times 10781413 can be divided by 403.

Going ahead to step 1:
1 divided by 403 is 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 403

Moving on to step 2:
403 goes into 10 0 times with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 10 to get 10.
Grab the next digit (7) from the dividend, add it to 10, then carry on: 107 / 403

On to step 3:
When dividing 107 by 403, we get 0 with a remainder of 107.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 107 after subtracting 0 from 107.
Grab the next digit (8) from the dividend, add it to 107, then carry on: 1078 / 403

Step 4:
1078 divided by 403 is 2 with a remainder of 272.
Use 2 as the next digit of our solution. 
Result so far: 2.0
Deduct 806 from 1078 and we're left with 272.
Bring next digit (1) of the dividend behind the 272 and repeat the process: 2721 / 403

On to step 5:
If we divide 2721 by 403, we get 6 and a remainder of 303.
The next digit of our result is 6. 
Result so far: 26.0
The remainder is 303 after subtracting 2418 from 2721.
Fetch the next digit (4) from the dividend, attach it to 303 and continue: 3034 / 403

On to step 6:
If we divide 3034 by 403, we get 7 and a remainder of 213.
Write down 7 as next digit of the result. 
Result so far: 267.0
Subtract 2821 from 3034 to get 213.
Append the next digit (1) from the dividend to 213 and continue with: 2131 / 403

Let's proceed to step 7:
The number 403 fits into 2131 5 times, leaving a remainder of 116.
The number 5 becomes the next digit in our result. 
Result so far: 2675.0
Deduct 2015 from 2131 and we're left with 116.
Include the next digit (3) from the dividend after 116, then repeat: 1163 / 403

Going ahead to step 8:
When dividing 1163 by 403, we get 2 with a remainder of 357.
The number 2 becomes the next digit in our result. 
Result so far: 26752.0
If we take 806 away from 1163, we end up with 357.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3570, and continue the process.

Moving on to step 9:
If we divide 3570 by 403, we get 8 and a remainder of 346.
Record the quotient 8 as the next digit in the result. 
Result so far: 26752.8
Deduct 3224 from 3570 and we're left with 346.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3460, and continue the process.

Going ahead to step 10:
When dividing 3460 by 403, we get 8 with a remainder of 236.
Use 8 as the next digit of our solution. 
Result so far: 26752.88
Subtracting 3224 from 3460 leaves us with 236.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2360, and continue the process.

The quotient of the division is 26752.88, and the remainder is 0.236.