4618 ÷ 38 
We want to figure out the number of times 4618 can be divided by 38.

On to step 1:
38 can be fit into 4 0 times, resulting in 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.
Fetch the next digit (6) from the dividend, attach it to 4 and continue: 46 / 38

Let's proceed to step 2:
46 divided by 38 is 1 with a remainder of 8.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtract 38 from 46 to get 8.
Append the next digit (1) from the dividend to 8 and continue with: 81 / 38

Moving on to step 3:
81 divided by 38 is 2 with a remainder of 5.
The next digit of our result is 2. 
Result so far: 12.0
If we take 76 away from 81, we end up with 5.
Bring next digit (8) of the dividend behind the 5 and repeat the process: 58 / 38

Step 4:
When dividing 58 by 38, we get 1 with a remainder of 20.
The number 1 becomes the next digit in our result. 
Result so far: 121.0
The remainder is 20 after subtracting 38 from 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 5:
38 goes into 200 5 times with a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 121.5
If we take 190 away from 200, we end up 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 6:
38 can be fit into 100 2 times, resulting in a remainder of 24.
Write down 2 as next digit of the result. 
Result so far: 121.52
Subtracting 76 from 100 leaves us with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Step 7:
38 can be fit into 240 6 times, resulting in a remainder of 12.
Record the quotient 6 as the next digit in the result. 
Result so far: 121.526
The remainder is 12 after subtracting 228 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 8:
120 divided by 38 is 3 with a remainder of 6.
Use 3 as the next digit of our solution. 
Result so far: 121.5263
Subtract 114 from 120 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.

Going ahead to step 9:
60 divided by 38 is 1 with a remainder of 22.
Record the quotient 1 as the next digit in the result. 
Result so far: 121.52631
Deduct 38 from 60 and we're left with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Let's proceed to step 10:
38 can be fit into 220 5 times, resulting in a remainder of 30.
Write down 5 as next digit of the result. 
Result so far: 121.526315
Deduct 190 from 220 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 11:
300 divided by 38 is 7 with a remainder of 34.
Record the quotient 7 as the next digit in the result. 
Result so far: 121.5263157
Subtracting 266 from 300 leaves us with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Moving on to step 12:
The number 38 fits into 340 8 times, leaving a remainder of 36.
Use 8 as the next digit of our solution. 
Result so far: 121.52631578
Deduct 304 from 340 and we're left with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

After the division, we end up with 121.52631578 and a remainder of 3.6e-08.