We divide 51819 by 13
We want to divide 51819 by 13.

Moving on to step 1:
5 divided by 13 is 0 with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Append the next digit (1) from the dividend to 5 and continue with: 51 / 13

Moving on to step 2:
If we divide 51 by 13, we get 3 and a remainder of 12.
Write down 3 as next digit of the result. 
Result so far: 3.0
If we subtract 39 from 51, we get 12.
Bring next digit (8) of the dividend behind the 12 and repeat the process: 128 / 13

Step 3:
128 divided by 13 is 9 with a remainder of 11.
Use 9 as the next digit of our solution. 
Result so far: 39.0
Subtracting 117 from 128 leaves us with 11.
Append the next digit (1) from the dividend to 11 and continue with: 111 / 13

Let's proceed to step 4:
13 goes into 111 8 times with a remainder of 7.
Put 8 as the next digit of the answer. 
Result so far: 398.0
Subtract 104 from 111 to get 7.
Take the next digit (9) from the dividend and append it to 7, then repeat: 79 / 13

On to step 5:
13 goes into 79 6 times with a remainder of 1.
Write down 6 as next digit of the result. 
Result so far: 3986.0
Deduct 78 from 79 and we're left 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.

Let's proceed to step 6:
13 goes into 10 0 times with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 3986.0
Subtracting 0 from 10 leaves us with 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 7:
13 goes into 100 7 times with a remainder of 9.
Put 7 as the next digit of the answer. 
Result so far: 3986.07
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.

On to step 8:
13 can be fit into 90 6 times, resulting in a remainder of 12.
Record the quotient 6 as the next digit in the result. 
Result so far: 3986.076
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 9:
13 can be fit into 120 9 times, resulting in a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 3986.0769
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.

Moving on to step 10:
If we divide 30 by 13, we get 2 and a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 3986.07692
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.

Advancing to step 11:
13 can be fit into 40 3 times, resulting in a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 3986.076923
If we subtract 39 from 40, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 12:
13 goes into 10 0 times with a remainder of 10.
The next digit of our result is 0. 
Result so far: 3986.076923
Subtracting 0 from 10 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 13:
If we divide 100 by 13, we get 7 and a remainder of 9.
The number 7 becomes the next digit in our result. 
Result so far: 3986.07692307
If we take 91 away from 100, we end up 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.

After the division, we end up with 3986.07692307 and a remainder of 9e-09.