We're dividing 11317301 by 749 
We want to figure out the number of times 11317301 can be divided by 749.

Step 1:
When dividing 1 by 749, we get 0 with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Include the next digit (1) from the dividend after 1, then repeat: 11 / 749

Advancing to step 2:
If we divide 11 by 749, we get 0 and a remainder of 11.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 11, we end up with 11.
Bring next digit (3) of the dividend behind the 11 and repeat the process: 113 / 749

Step 3:
If we divide 113 by 749, we get 0 and a remainder of 113.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 113, we end up with 113.
Include the next digit (1) from the dividend after 113, then repeat: 1131 / 749

Let's proceed to step 4:
The number 749 fits into 1131 1 times, leaving a remainder of 382.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we take 749 away from 1131, we end up with 382.
Take the next digit (7) from the dividend and append it to 382, then repeat: 3827 / 749

On to step 5:
If we divide 3827 by 749, we get 5 and a remainder of 82.
Use 5 as the next digit of our solution. 
Result so far: 15.0
If we subtract 3745 from 3827, we get 82.
Take the next digit (3) from the dividend and append it to 82, then repeat: 823 / 749

Moving on to step 6:
If we divide 823 by 749, we get 1 and a remainder of 74.
Use 1 as the next digit of our solution. 
Result so far: 151.0
The remainder is 74 after subtracting 749 from 823.
Take the next digit (0) from the dividend and append it to 74, then repeat: 740 / 749

Advancing to step 7:
749 goes into 740 0 times with a remainder of 740.
Use 0 as the next digit of our solution. 
Result so far: 1510.0
The remainder is 740 after subtracting 0 from 740.
Include the next digit (1) from the dividend after 740, then repeat: 7401 / 749

Moving on to step 8:
7401 divided by 749 is 9 with a remainder of 660.
Record the quotient 9 as the next digit in the result. 
Result so far: 15109.0
Subtracting 6741 from 7401 leaves us with 660.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6600, and continue the process.

On to step 9:
749 goes into 6600 8 times with a remainder of 608.
The number 8 becomes the next digit in our result. 
Result so far: 15109.8
Subtract 5992 from 6600 to get 608.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6080, and continue the process.

Let's proceed to step 10:
If we divide 6080 by 749, we get 8 and a remainder of 88.
Put 8 as the next digit of the answer. 
Result so far: 15109.88
If we subtract 5992 from 6080, we get 88.
Since there are no more digits in the dividend, we add a zero to the remainder making it 880, and continue the process.

Our division results in 15109.88 with a remaining 0.088.