Let's divide 280759 by 13
We want to figure out the number of times 280759 can be divided by 13.

On to step 1:
If we divide 2 by 13, we get 0 and a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Take the next digit (8) from the dividend and append it to 2, then repeat: 28 / 13

Advancing to step 2:
28 divided by 13 is 2 with a remainder of 2.
The next digit of our result is 2. 
Result so far: 2.0
Subtract 26 from 28 to get 2.
Grab the next digit (0) from the dividend, add it to 2, then carry on: 20 / 13

On to step 3:
If we divide 20 by 13, we get 1 and a remainder of 7.
Write down 1 as next digit of the result. 
Result so far: 21.0
Subtract 13 from 20 to get 7.
Grab the next digit (7) from the dividend, add it to 7, then carry on: 77 / 13

On to step 4:
When dividing 77 by 13, we get 5 with a remainder of 12.
Use 5 as the next digit of our solution. 
Result so far: 215.0
The remainder is 12 after subtracting 65 from 77.
Take the next digit (5) from the dividend and append it to 12, then repeat: 125 / 13

On to step 5:
The number 13 fits into 125 9 times, leaving a remainder of 8.
Use 9 as the next digit of our solution. 
Result so far: 2159.0
If we subtract 117 from 125, we get 8.
Take the next digit (9) from the dividend and append it to 8, then repeat: 89 / 13

Advancing to step 6:
13 goes into 89 6 times with a remainder of 11.
Use 6 as the next digit of our solution. 
Result so far: 21596.0
Subtracting 78 from 89 leaves us with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Going ahead to step 7:
13 can be fit into 110 8 times, resulting in a remainder of 6.
The next digit of our result is 8. 
Result so far: 21596.8
Subtracting 104 from 110 leaves us 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.

Let's proceed to step 8:
The number 13 fits into 60 4 times, leaving a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 21596.84
The remainder is 8 after subtracting 52 from 60.
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 9:
When dividing 80 by 13, we get 6 with a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 21596.846
The remainder is 2 after subtracting 78 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 10:
13 can be fit into 20 1 times, resulting in a remainder of 7.
Use 1 as the next digit of our solution. 
Result so far: 21596.8461
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.

Step 11:
70 divided by 13 is 5 with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 21596.84615
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.

Advancing to step 12:
13 can be fit into 50 3 times, resulting in a remainder of 11.
The next digit of our result is 3. 
Result so far: 21596.846153
The remainder is 11 after subtracting 39 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Going ahead to step 13:
When dividing 110 by 13, we get 8 with a remainder of 6.
The next digit of our result is 8. 
Result so far: 21596.8461538
Subtracting 104 from 110 leaves us 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 14:
13 goes into 60 4 times with a remainder of 8.
The number 4 becomes the next digit in our result. 
Result so far: 21596.84615384
If we subtract 52 from 60, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

In conclusion, the division gives 21596.84615384 with a balance of 8e-09.