Let's divide 51119 by 13
Our goal is to divide 51119 by 13.

On to step 1:
The number 13 fits into 5 0 times, leaving a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Include the next digit (1) from the dividend after 5, then repeat: 51 / 13

Moving on to step 2:
13 goes into 51 3 times with a remainder of 12.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
If we take 39 away from 51, we end up with 12.
Take the next digit (1) from the dividend and append it to 12, then repeat: 121 / 13

On to step 3:
If we divide 121 by 13, we get 9 and a remainder of 4.
Record the quotient 9 as the next digit in the result. 
Result so far: 39.0
Deduct 117 from 121 and we're left with 4.
Grab the next digit (1) from the dividend, add it to 4, then carry on: 41 / 13

Moving on to step 4:
The number 13 fits into 41 3 times, leaving a remainder of 2.
Put 3 as the next digit of the answer. 
Result so far: 393.0
The remainder is 2 after subtracting 39 from 41.
Bring next digit (9) of the dividend behind the 2 and repeat the process: 29 / 13

Moving on to step 5:
13 can be fit into 29 2 times, resulting in a remainder of 3.
Write down 2 as next digit of the result. 
Result so far: 3932.0
Subtract 26 from 29 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 6:
13 goes into 30 2 times with a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 3932.2
Deduct 26 from 30 and we're left with 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 7:
If we divide 40 by 13, we get 3 and a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 3932.23
The remainder is 1 after subtracting 39 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 8:
If we divide 10 by 13, we get 0 and a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 3932.23
Deduct 0 from 10 and we're left 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.

Moving on to step 9:
If we divide 100 by 13, we get 7 and a remainder of 9.
Write down 7 as next digit of the result. 
Result so far: 3932.2307
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.

Moving on to step 10:
If we divide 90 by 13, we get 6 and a remainder of 12.
Use 6 as the next digit of our solution. 
Result so far: 3932.23076
Subtract 78 from 90 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 11:
13 goes into 120 9 times with a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 3932.230769
The remainder is 3 after subtracting 117 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

On to step 12:
13 can be fit into 30 2 times, resulting in a remainder of 4.
Put 2 as the next digit of the answer. 
Result so far: 3932.2307692
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.

Let's proceed to step 13:
13 goes into 40 3 times with a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 3932.23076923
Deduct 39 from 40 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.

After the division, we end up with 3932.23076923 and a remainder of 1e-09.