Let's divide 265914 by 13
We're looking to find how many times 13 goes into 265914.

Step 1:
When dividing 2 by 13, we get 0 with a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Include the next digit (6) from the dividend after 2, then repeat: 26 / 13

Let's proceed to step 2:
26 divided by 13 is 2 with a remainder of 0.
Put 2 as the next digit of the answer. 
Result so far: 2.0
If we take 26 away from 26, we end up with 0.
Include the next digit (5) from the dividend after 0, then repeat: 5 / 13

Step 3:
The number 13 fits into 5 0 times, leaving a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 20.0
Subtract 0 from 5 to get 5.
Take the next digit (9) from the dividend and append it to 5, then repeat: 59 / 13

Step 4:
13 can be fit into 59 4 times, resulting in a remainder of 7.
Record the quotient 4 as the next digit in the result. 
Result so far: 204.0
If we take 52 away from 59, we end up with 7.
Take the next digit (1) from the dividend and append it to 7, then repeat: 71 / 13

Going ahead to step 5:
13 can be fit into 71 5 times, resulting in a remainder of 6.
The next digit of our result is 5. 
Result so far: 2045.0
Subtracting 65 from 71 leaves us with 6.
Include the next digit (4) from the dividend after 6, then repeat: 64 / 13

Going ahead to step 6:
64 divided by 13 is 4 with a remainder of 12.
The next digit of our result is 4. 
Result so far: 20454.0
If we take 52 away from 64, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 7:
If we divide 120 by 13, we get 9 and a remainder of 3.
Write down 9 as next digit of the result. 
Result so far: 20454.9
Subtracting 117 from 120 leaves us 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.

Advancing to step 8:
The number 13 fits into 30 2 times, leaving a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 20454.92
The remainder is 4 after subtracting 26 from 30.
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 9:
40 divided by 13 is 3 with a remainder of 1.
The next digit of our result is 3. 
Result so far: 20454.923
Subtracting 39 from 40 leaves us with 1.
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 10:
13 goes into 10 0 times with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 20454.923
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 11:
13 goes into 100 7 times with a remainder of 9.
Record the quotient 7 as the next digit in the result. 
Result so far: 20454.92307
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.

Step 12:
13 can be fit into 90 6 times, resulting in a remainder of 12.
The next digit of our result is 6. 
Result so far: 20454.923076
The remainder is 12 after subtracting 78 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 13:
13 can be fit into 120 9 times, resulting in a remainder of 3.
Use 9 as the next digit of our solution. 
Result so far: 20454.9230769
If we take 117 away from 120, we end up 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.

Going ahead to step 14:
When dividing 30 by 13, we get 2 with a remainder of 4.
Put 2 as the next digit of the answer. 
Result so far: 20454.92307692
Subtract 26 from 30 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

The quotient of the division is 20454.92307692, and the remainder is 4e-09.