We look at the division of 75259 by 13 
Our goal is to divide 75259 by 13.

Moving on to step 1:
7 divided by 13 is 0 with a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Fetch the next digit (5) from the dividend, attach it to 7 and continue: 75 / 13

Advancing to step 2:
13 goes into 75 5 times with a remainder of 10.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
If we subtract 65 from 75, we get 10.
Bring next digit (2) of the dividend behind the 10 and repeat the process: 102 / 13

Advancing to step 3:
102 divided by 13 is 7 with a remainder of 11.
Use 7 as the next digit of our solution. 
Result so far: 57.0
Deduct 91 from 102 and we're left with 11.
Bring next digit (5) of the dividend behind the 11 and repeat the process: 115 / 13

Going ahead to step 4:
The number 13 fits into 115 8 times, leaving a remainder of 11.
Write down 8 as next digit of the result. 
Result so far: 578.0
If we subtract 104 from 115, we get 11.
Grab the next digit (9) from the dividend, add it to 11, then carry on: 119 / 13

Let's proceed to step 5:
119 divided by 13 is 9 with a remainder of 2.
Use 9 as the next digit of our solution. 
Result so far: 5789.0
Subtract 117 from 119 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 6:
20 divided by 13 is 1 with a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 5789.1
Subtracting 13 from 20 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 7:
When dividing 70 by 13, we get 5 with a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 5789.15
Subtracting 65 from 70 leaves us with 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 8:
When dividing 50 by 13, we get 3 with a remainder of 11.
Use 3 as the next digit of our solution. 
Result so far: 5789.153
Subtract 39 from 50 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

On to step 9:
If we divide 110 by 13, we get 8 and a remainder of 6.
Put 8 as the next digit of the answer. 
Result so far: 5789.1538
Deduct 104 from 110 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 10:
13 can be fit into 60 4 times, resulting in a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 5789.15384
Deduct 52 from 60 and we're left 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.

Advancing to step 11:
13 goes into 80 6 times with a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 5789.153846
Deduct 78 from 80 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 12:
When dividing 20 by 13, we get 1 with a remainder of 7.
Write down 1 as next digit of the result. 
Result so far: 5789.1538461
Deduct 13 from 20 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 13:
When dividing 70 by 13, we get 5 with a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 5789.15384615
Subtract 65 from 70 to 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.

Our division results in 5789.15384615 with a remaining 5e-09.