Let's divide 10555353 by 838
Let's see how many times 838 fits into 10555353.

Moving on to step 1:
1 divided by 838 is 0 with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 838

Step 2:
When dividing 10 by 838, we get 0 with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 10 to get 10.
Take the next digit (5) from the dividend and append it to 10, then repeat: 105 / 838

Let's proceed to step 3:
838 can be fit into 105 0 times, resulting in a remainder of 105.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 105 after subtracting 0 from 105.
Bring next digit (5) of the dividend behind the 105 and repeat the process: 1055 / 838

On to step 4:
838 can be fit into 1055 1 times, resulting in a remainder of 217.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtracting 838 from 1055 leaves us with 217.
Include the next digit (5) from the dividend after 217, then repeat: 2175 / 838

On to step 5:
The number 838 fits into 2175 2 times, leaving a remainder of 499.
Record the quotient 2 as the next digit in the result. 
Result so far: 12.0
Subtract 1676 from 2175 to get 499.
Take the next digit (3) from the dividend and append it to 499, then repeat: 4993 / 838

Let's proceed to step 6:
The number 838 fits into 4993 5 times, leaving a remainder of 803.
Put 5 as the next digit of the answer. 
Result so far: 125.0
If we subtract 4190 from 4993, we get 803.
Grab the next digit (5) from the dividend, add it to 803, then carry on: 8035 / 838

Let's proceed to step 7:
The number 838 fits into 8035 9 times, leaving a remainder of 493.
The next digit of our result is 9. 
Result so far: 1259.0
The remainder is 493 after subtracting 7542 from 8035.
Grab the next digit (3) from the dividend, add it to 493, then carry on: 4933 / 838

Going ahead to step 8:
When dividing 4933 by 838, we get 5 with a remainder of 743.
The next digit of our result is 5. 
Result so far: 12595.0
Deduct 4190 from 4933 and we're left with 743.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7430, and continue the process.

On to step 9:
838 goes into 7430 8 times with a remainder of 726.
Use 8 as the next digit of our solution. 
Result so far: 12595.8
Subtract 6704 from 7430 to get 726.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7260, and continue the process.

Moving on to step 10:
838 can be fit into 7260 8 times, resulting in a remainder of 556.
The next digit of our result is 8. 
Result so far: 12595.88
If we take 6704 away from 7260, we end up with 556.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5560, and continue the process.

The final result is 12595.88 with a remainder of 0.556.