We look at the division of 75505 by 13 
We want to figure out the number of times 75505 can be divided by 13.

Going ahead to step 1:
The number 13 fits into 7 0 times, leaving a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Grab the next digit (5) from the dividend, add it to 7, then carry on: 75 / 13

Let's proceed to step 2:
The number 13 fits into 75 5 times, leaving a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
The remainder is 10 after subtracting 65 from 75.
Take the next digit (5) from the dividend and append it to 10, then repeat: 105 / 13

Advancing to step 3:
If we divide 105 by 13, we get 8 and a remainder of 1.
The number 8 becomes the next digit in our result. 
Result so far: 58.0
Deduct 104 from 105 and we're left with 1.
Fetch the next digit (0) from the dividend, attach it to 1 and continue: 10 / 13

Advancing to step 4:
When dividing 10 by 13, we get 0 with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 580.0
Subtracting 0 from 10 leaves us with 10.
Grab the next digit (5) from the dividend, add it to 10, then carry on: 105 / 13

Step 5:
The number 13 fits into 105 8 times, leaving a remainder of 1.
The number 8 becomes the next digit in our result. 
Result so far: 5808.0
The remainder is 1 after subtracting 104 from 105.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 6:
When dividing 10 by 13, we get 0 with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 5808.0
The remainder is 10 after subtracting 0 from 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 7:
13 can be fit into 100 7 times, resulting in a remainder of 9.
Use 7 as the next digit of our solution. 
Result so far: 5808.07
Subtracting 91 from 100 leaves us with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Let's proceed to step 8:
13 can be fit into 90 6 times, resulting in a remainder of 12.
The number 6 becomes the next digit in our result. 
Result so far: 5808.076
Subtract 78 from 90 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 9:
120 divided by 13 is 9 with a remainder of 3.
Record the quotient 9 as the next digit in the result. 
Result so far: 5808.0769
Subtract 117 from 120 to get 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 10:
If we divide 30 by 13, we get 2 and a remainder of 4.
Put 2 as the next digit of the answer. 
Result so far: 5808.07692
If we take 26 away from 30, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 11:
When dividing 40 by 13, we get 3 with a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 5808.076923
The remainder is 1 after subtracting 39 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 12:
13 can be fit into 10 0 times, resulting in a remainder of 10.
The next digit of our result is 0. 
Result so far: 5808.076923
If we take 0 away from 10, we end up 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.

Moving on to step 13:
13 goes into 100 7 times with a remainder of 9.
Write down 7 as next digit of the result. 
Result so far: 5808.07692307
Deduct 91 from 100 and we're left with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

The final outcome is 5808.07692307, with a leftover of 9e-09.