We're dividing 13403 by 95 
Let's see how many times 95 fits into 13403.

Step 1:
95 can be fit into 1 0 times, resulting in 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.
Append the next digit (3) from the dividend to 1 and continue with: 13 / 95

Let's proceed to step 2:
The number 95 fits into 13 0 times, leaving a remainder of 13.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 13 after subtracting 0 from 13.
Bring next digit (4) of the dividend behind the 13 and repeat the process: 134 / 95

Let's proceed to step 3:
95 can be fit into 134 1 times, resulting in a remainder of 39.
Use 1 as the next digit of our solution. 
Result so far: 1.0
The remainder is 39 after subtracting 95 from 134.
Include the next digit (0) from the dividend after 39, then repeat: 390 / 95

Moving on to step 4:
95 goes into 390 4 times with a remainder of 10.
Put 4 as the next digit of the answer. 
Result so far: 14.0
Subtracting 380 from 390 leaves us with 10.
Include the next digit (3) from the dividend after 10, then repeat: 103 / 95

On to step 5:
103 divided by 95 is 1 with a remainder of 8.
The number 1 becomes the next digit in our result. 
Result so far: 141.0
If we take 95 away from 103, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 6:
When dividing 80 by 95, we get 0 with a remainder of 80.
The next digit of our result is 0. 
Result so far: 141.0
Deduct 0 from 80 and we're left with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Let's proceed to step 7:
95 can be fit into 800 8 times, resulting in a remainder of 40.
The number 8 becomes the next digit in our result. 
Result so far: 141.08
The remainder is 40 after subtracting 760 from 800.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Moving on to step 8:
400 divided by 95 is 4 with a remainder of 20.
The next digit of our result is 4. 
Result so far: 141.084
If we subtract 380 from 400, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 9:
200 divided by 95 is 2 with a remainder of 10.
Put 2 as the next digit of the answer. 
Result so far: 141.0842
Deduct 190 from 200 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 10:
When dividing 100 by 95, we get 1 with a remainder of 5.
Use 1 as the next digit of our solution. 
Result so far: 141.08421
If we subtract 95 from 100, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 11:
When dividing 50 by 95, we get 0 with a remainder of 50.
Record the quotient 0 as the next digit in the result. 
Result so far: 141.08421
Subtract 0 from 50 to get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

On to step 12:
If we divide 500 by 95, we get 5 and a remainder of 25.
Put 5 as the next digit of the answer. 
Result so far: 141.0842105
If we subtract 475 from 500, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Moving on to step 13:
If we divide 250 by 95, we get 2 and a remainder of 60.
The number 2 becomes the next digit in our result. 
Result so far: 141.08421052
The remainder is 60 after subtracting 190 from 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

The final result is 141.08421052 with a remainder of 6e-08.