263671 ÷ 13 
We're looking to find how many times 13 goes into 263671.

On to step 1:
If we divide 2 by 13, we get 0 and a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Bring next digit (6) of the dividend behind the 2 and repeat the process: 26 / 13

Step 2:
The number 13 fits into 26 2 times, leaving a remainder of 0.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
If we take 26 away from 26, we end up with 0.
Fetch the next digit (3) from the dividend, attach it to 0 and continue: 3 / 13

Going ahead to step 3:
3 divided by 13 is 0 with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 20.0
The remainder is 3 after subtracting 0 from 3.
Bring next digit (6) of the dividend behind the 3 and repeat the process: 36 / 13

Going ahead to step 4:
13 goes into 36 2 times with a remainder of 10.
Record the quotient 2 as the next digit in the result. 
Result so far: 202.0
Subtract 26 from 36 to get 10.
Append the next digit (7) from the dividend to 10 and continue with: 107 / 13

Moving on to step 5:
13 goes into 107 8 times with a remainder of 3.
Write down 8 as next digit of the result. 
Result so far: 2028.0
If we take 104 away from 107, we end up with 3.
Take the next digit (1) from the dividend and append it to 3, then repeat: 31 / 13

On to step 6:
If we divide 31 by 13, we get 2 and a remainder of 5.
Put 2 as the next digit of the answer. 
Result so far: 20282.0
The remainder is 5 after subtracting 26 from 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 7:
13 goes into 50 3 times with a remainder of 11.
Put 3 as the next digit of the answer. 
Result so far: 20282.3
Subtracting 39 from 50 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.

On to step 8:
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: 20282.38
If we take 104 away from 110, we end up 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.

Advancing to step 9:
The number 13 fits into 60 4 times, leaving a remainder of 8.
The next digit of our result is 4. 
Result so far: 20282.384
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.

Advancing to step 10:
13 goes into 80 6 times with a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 20282.3846
If we subtract 78 from 80, we 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.

On to step 11:
If we divide 20 by 13, we get 1 and a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 20282.38461
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.

Moving on to step 12:
The number 13 fits into 70 5 times, leaving a remainder of 5.
The next digit of our result is 5. 
Result so far: 20282.384615
Deduct 65 from 70 and we're left 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 13:
If we divide 50 by 13, we get 3 and a remainder of 11.
Write down 3 as next digit of the result. 
Result so far: 20282.3846153
If we subtract 39 from 50, we 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.

Advancing to step 14:
110 divided by 13 is 8 with a remainder of 6.
Use 8 as the next digit of our solution. 
Result so far: 20282.38461538
Subtract 104 from 110 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

After the division, we end up with 20282.38461538 and a remainder of 6e-09.