514910 ÷ 13 
We want to divide 514910 by 13.

Step 1:
The number 13 fits into 5 0 times, leaving a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Fetch the next digit (1) from the dividend, attach it to 5 and continue: 51 / 13

Going ahead to step 2:
The number 13 fits into 51 3 times, leaving a remainder of 12.
Write down 3 as next digit of the result. 
Result so far: 3.0
Subtracting 39 from 51 leaves us with 12.
Take the next digit (4) from the dividend and append it to 12, then repeat: 124 / 13

Step 3:
13 goes into 124 9 times with a remainder of 7.
The next digit of our result is 9. 
Result so far: 39.0
Subtract 117 from 124 to get 7.
Include the next digit (9) from the dividend after 7, then repeat: 79 / 13

On to step 4:
13 goes into 79 6 times with a remainder of 1.
Record the quotient 6 as the next digit in the result. 
Result so far: 396.0
The remainder is 1 after subtracting 78 from 79.
Include the next digit (1) from the dividend after 1, then repeat: 11 / 13

On to step 5:
11 divided by 13 is 0 with a remainder of 11.
Put 0 as the next digit of the answer. 
Result so far: 3960.0
Deduct 0 from 11 and we're left with 11.
Append the next digit (0) from the dividend to 11 and continue with: 110 / 13

Moving on to step 6:
110 divided by 13 is 8 with a remainder of 6.
The number 8 becomes the next digit in our result. 
Result so far: 39608.0
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.

On to step 7:
13 can be fit into 60 4 times, resulting in a remainder of 8.
The next digit of our result is 4. 
Result so far: 39608.4
If we take 52 away from 60, we end up 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.

Step 8:
80 divided by 13 is 6 with a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 39608.46
Subtracting 78 from 80 leaves us 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.

Going ahead to step 9:
The number 13 fits into 20 1 times, leaving a remainder of 7.
The number 1 becomes the next digit in our result. 
Result so far: 39608.461
If we take 13 away from 20, we end up 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 10:
When dividing 70 by 13, we get 5 with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 39608.4615
The remainder is 5 after subtracting 65 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 11:
13 goes into 50 3 times with a remainder of 11.
The number 3 becomes the next digit in our result. 
Result so far: 39608.46153
Deduct 39 from 50 and we're left 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 12:
13 can be fit into 110 8 times, resulting in a remainder of 6.
Use 8 as the next digit of our solution. 
Result so far: 39608.461538
If we subtract 104 from 110, we 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.

Moving on to step 13:
When dividing 60 by 13, we get 4 with a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 39608.4615384
Subtract 52 from 60 to 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.

Moving on to step 14:
13 goes into 80 6 times with a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 39608.46153846
If we take 78 away from 80, we end up 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.

The final result is 39608.46153846 with a remainder of 2e-09.