We're dividing 113103 by 65 
We want to figure out the number of times 113103 can be divided by 65.

Let's proceed to step 1:
When dividing 1 by 65, we get 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Include the next digit (1) from the dividend after 1, then repeat: 11 / 65

Going ahead to step 2:
The number 65 fits into 11 0 times, leaving a remainder of 11.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 11, we get 11.
Take the next digit (3) from the dividend and append it to 11, then repeat: 113 / 65

Moving on to step 3:
When dividing 113 by 65, we get 1 with a remainder of 48.
The next digit of our result is 1. 
Result so far: 1.0
Subtracting 65 from 113 leaves us with 48.
Take the next digit (1) from the dividend and append it to 48, then repeat: 481 / 65

Going ahead to step 4:
481 divided by 65 is 7 with a remainder of 26.
Use 7 as the next digit of our solution. 
Result so far: 17.0
Subtracting 455 from 481 leaves us with 26.
Fetch the next digit (0) from the dividend, attach it to 26 and continue: 260 / 65

On to step 5:
65 goes into 260 4 times with a remainder of 0.
The number 4 becomes the next digit in our result. 
Result so far: 174.0
If we subtract 260 from 260, we get 0.
Take the next digit (3) from the dividend and append it to 0, then repeat: 3 / 65

Let's proceed to step 6:
If we divide 3 by 65, we get 0 and a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 1740.0
Deduct 0 from 3 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

On to step 7:
65 goes into 30 0 times with a remainder of 30.
Put 0 as the next digit of the answer. 
Result so far: 1740.0
Subtracting 0 from 30 leaves us 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.

On to step 8:
The number 65 fits into 300 4 times, leaving a remainder of 40.
The number 4 becomes the next digit in our result. 
Result so far: 1740.04
If we take 260 away from 300, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Advancing to step 9:
If we divide 400 by 65, we get 6 and a remainder of 10.
Write down 6 as next digit of the result. 
Result so far: 1740.046
If we subtract 390 from 400, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 10:
100 divided by 65 is 1 with a remainder of 35.
The next digit of our result is 1. 
Result so far: 1740.0461
Deduct 65 from 100 and we're left with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

On to step 11:
The number 65 fits into 350 5 times, leaving a remainder of 25.
Put 5 as the next digit of the answer. 
Result so far: 1740.04615
Deduct 325 from 350 and we're left with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Going ahead to step 12:
65 goes into 250 3 times with a remainder of 55.
Write down 3 as next digit of the result. 
Result so far: 1740.046153
Subtracting 195 from 250 leaves us with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Going ahead to step 13:
The number 65 fits into 550 8 times, leaving a remainder of 30.
The next digit of our result is 8. 
Result so far: 1740.0461538
If we take 520 away from 550, we end up 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.

Step 14:
65 goes into 300 4 times with a remainder of 40.
Use 4 as the next digit of our solution. 
Result so far: 1740.04615384
If we take 260 away from 300, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

After the division, we end up with 1740.04615384 and a remainder of 4e-08.