We're dividing 11417790 by 838 
We want to divide 11417790 by 838.

Going ahead to step 1:
1 divided by 838 is 0 with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Bring next digit (1) of the dividend behind the 1 and repeat the process: 11 / 838

Step 2:
When dividing 11 by 838, we get 0 with a remainder of 11.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 11 after subtracting 0 from 11.
Grab the next digit (4) from the dividend, add it to 11, then carry on: 114 / 838

Step 3:
The number 838 fits into 114 0 times, leaving a remainder of 114.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 114 after subtracting 0 from 114.
Include the next digit (1) from the dividend after 114, then repeat: 1141 / 838

Let's proceed to step 4:
838 can be fit into 1141 1 times, resulting in a remainder of 303.
The next digit of our result is 1. 
Result so far: 1.0
If we take 838 away from 1141, we end up with 303.
Append the next digit (7) from the dividend to 303 and continue with: 3037 / 838

Going ahead to step 5:
838 goes into 3037 3 times with a remainder of 523.
The number 3 becomes the next digit in our result. 
Result so far: 13.0
If we subtract 2514 from 3037, we get 523.
Fetch the next digit (7) from the dividend, attach it to 523 and continue: 5237 / 838

On to step 6:
When dividing 5237 by 838, we get 6 with a remainder of 209.
The next digit of our result is 6. 
Result so far: 136.0
Subtracting 5028 from 5237 leaves us with 209.
Bring next digit (9) of the dividend behind the 209 and repeat the process: 2099 / 838

Step 7:
The number 838 fits into 2099 2 times, leaving a remainder of 423.
The next digit of our result is 2. 
Result so far: 1362.0
If we subtract 1676 from 2099, we get 423.
Append the next digit (0) from the dividend to 423 and continue with: 4230 / 838

On to step 8:
When dividing 4230 by 838, we get 5 with a remainder of 40.
Put 5 as the next digit of the answer. 
Result so far: 13625.0
The remainder is 40 after subtracting 4190 from 4230.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 9:
If we divide 400 by 838, we get 0 and a remainder of 400.
The next digit of our result is 0. 
Result so far: 13625.0
Subtracting 0 from 400 leaves us with 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4000, and continue the process.

On to step 10:
4000 divided by 838 is 4 with a remainder of 648.
The number 4 becomes the next digit in our result. 
Result so far: 13625.04
Deduct 3352 from 4000 and we're left with 648.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6480, and continue the process.

Let's proceed to step 11:
The number 838 fits into 6480 7 times, leaving a remainder of 614.
Use 7 as the next digit of our solution. 
Result so far: 13625.047
If we subtract 5866 from 6480, we get 614.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6140, and continue the process.

Let's proceed to step 12:
If we divide 6140 by 838, we get 7 and a remainder of 274.
The next digit of our result is 7. 
Result so far: 13625.0477
If we subtract 5866 from 6140, we get 274.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2740, and continue the process.

The final outcome is 13625.0477, with a leftover of 0.00274.