Let's divide 4838 by 13
We're looking to find how many times 13 goes into 4838.

On to step 1:
If we divide 4 by 13, we get 0 and a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Grab the next digit (8) from the dividend, add it to 4, then carry on: 48 / 13

Let's proceed to step 2:
13 goes into 48 3 times with a remainder of 9.
The next digit of our result is 3. 
Result so far: 3.0
Subtracting 39 from 48 leaves us with 9.
Bring next digit (3) of the dividend behind the 9 and repeat the process: 93 / 13

Moving on to step 3:
13 can be fit into 93 7 times, resulting in a remainder of 2.
Use 7 as the next digit of our solution. 
Result so far: 37.0
Subtracting 91 from 93 leaves us with 2.
Grab the next digit (8) from the dividend, add it to 2, then carry on: 28 / 13

Step 4:
When dividing 28 by 13, we get 2 with a remainder of 2.
Record the quotient 2 as the next digit in the result. 
Result so far: 372.0
Deduct 26 from 28 and we're left 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.

Let's proceed to step 5:
13 can be fit into 20 1 times, resulting in a remainder of 7.
Write down 1 as next digit of the result. 
Result so far: 372.1
Deduct 13 from 20 and we're left 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 6:
70 divided by 13 is 5 with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 372.15
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.

Let's proceed to step 7:
13 goes into 50 3 times with a remainder of 11.
Use 3 as the next digit of our solution. 
Result so far: 372.153
Subtract 39 from 50 to 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.

Step 8:
If we divide 110 by 13, we get 8 and a remainder of 6.
The number 8 becomes the next digit in our result. 
Result so far: 372.1538
Subtracting 104 from 110 leaves us 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.

Let's proceed to step 9:
If we divide 60 by 13, we get 4 and a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 372.15384
Subtracting 52 from 60 leaves us 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.

Advancing to step 10:
80 divided by 13 is 6 with a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 372.153846
Deduct 78 from 80 and we're left 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.

Moving on to step 11:
20 divided by 13 is 1 with a remainder of 7.
Write down 1 as next digit of the result. 
Result so far: 372.1538461
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.

Advancing to step 12:
70 divided by 13 is 5 with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 372.15384615
If we take 65 away from 70, we end up 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.

The final result is 372.15384615 with a remainder of 5e-09.