We look at the division of 11497053 by 300 
We're looking to find how many times 300 goes into 11497053.

Step 1:
If we divide 1 by 300, we get 0 and a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Grab the next digit (1) from the dividend, add it to 1, then carry on: 11 / 300

Let's proceed to step 2:
The number 300 fits into 11 0 times, leaving a remainder of 11.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 11, we end up with 11.
Grab the next digit (4) from the dividend, add it to 11, then carry on: 114 / 300

Advancing to step 3:
300 goes into 114 0 times with a remainder of 114.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 114 and we're left with 114.
Append the next digit (9) from the dividend to 114 and continue with: 1149 / 300

Moving on to step 4:
300 goes into 1149 3 times with a remainder of 249.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
Subtract 900 from 1149 to get 249.
Take the next digit (7) from the dividend and append it to 249, then repeat: 2497 / 300

On to step 5:
300 can be fit into 2497 8 times, resulting in a remainder of 97.
The number 8 becomes the next digit in our result. 
Result so far: 38.0
Deduct 2400 from 2497 and we're left with 97.
Bring next digit (0) of the dividend behind the 97 and repeat the process: 970 / 300

Step 6:
970 divided by 300 is 3 with a remainder of 70.
Put 3 as the next digit of the answer. 
Result so far: 383.0
The remainder is 70 after subtracting 900 from 970.
Grab the next digit (5) from the dividend, add it to 70, then carry on: 705 / 300

Moving on to step 7:
If we divide 705 by 300, we get 2 and a remainder of 105.
Put 2 as the next digit of the answer. 
Result so far: 3832.0
If we take 600 away from 705, we end up with 105.
Bring next digit (3) of the dividend behind the 105 and repeat the process: 1053 / 300

Going ahead to step 8:
If we divide 1053 by 300, we get 3 and a remainder of 153.
The number 3 becomes the next digit in our result. 
Result so far: 38323.0
Subtract 900 from 1053 to get 153.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1530, and continue the process.

Let's proceed to step 9:
The number 300 fits into 1530 5 times, leaving a remainder of 30.
Put 5 as the next digit of the answer. 
Result so far: 38323.5
Deduct 1500 from 1530 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 10:
300 can be fit into 300 1 times, resulting in a remainder of 0.
Write down 1 as next digit of the result. 
Result so far: 38323.51
If we take 300 away from 300, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Moving on to step 11:
If we divide 0 by 300, we get 0 and a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 38323.51
If we subtract 0 from 0, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 12:
300 can be fit into 0 0 times, resulting in a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 38323.51
If we take 0 away from 0, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The quotient of the division is 38323.51, and the remainder is 0.0.