2238 ÷ 42 
Our goal is to divide 2238 by 42.

Going ahead to step 1:
The number 42 fits into 2 0 times, leaving a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Include the next digit (2) from the dividend after 2, then repeat: 22 / 42

Let's proceed to step 2:
42 can be fit into 22 0 times, resulting in a remainder of 22.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 22 and we're left with 22.
Append the next digit (3) from the dividend to 22 and continue with: 223 / 42

Let's proceed to step 3:
If we divide 223 by 42, we get 5 and a remainder of 13.
Put 5 as the next digit of the answer. 
Result so far: 5.0
Subtract 210 from 223 to get 13.
Bring next digit (8) of the dividend behind the 13 and repeat the process: 138 / 42

Let's proceed to step 4:
When dividing 138 by 42, we get 3 with a remainder of 12.
Put 3 as the next digit of the answer. 
Result so far: 53.0
Subtract 126 from 138 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.

Moving on to step 5:
42 can be fit into 120 2 times, resulting in a remainder of 36.
Write down 2 as next digit of the result. 
Result so far: 53.2
Subtracting 84 from 120 leaves us 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.

Step 6:
42 goes into 360 8 times with a remainder of 24.
The next digit of our result is 8. 
Result so far: 53.28
Deduct 336 from 360 and we're left 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.

Advancing to step 7:
42 goes into 240 5 times with a remainder of 30.
Use 5 as the next digit of our solution. 
Result so far: 53.285
If we take 210 away from 240, we end up 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.

On to step 8:
The number 42 fits into 300 7 times, leaving a remainder of 6.
The number 7 becomes the next digit in our result. 
Result so far: 53.2857
Deduct 294 from 300 and we're left 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 9:
60 divided by 42 is 1 with a remainder of 18.
The number 1 becomes the next digit in our result. 
Result so far: 53.28571
Deduct 42 from 60 and we're left with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Step 10:
If we divide 180 by 42, we get 4 and a remainder of 12.
Use 4 as the next digit of our solution. 
Result so far: 53.285714
Deduct 168 from 180 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 11:
When dividing 120 by 42, we get 2 with a remainder of 36.
Use 2 as the next digit of our solution. 
Result so far: 53.2857142
Subtract 84 from 120 to get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Let's proceed to step 12:
42 goes into 360 8 times with a remainder of 24.
Put 8 as the next digit of the answer. 
Result so far: 53.28571428
Deduct 336 from 360 and we're left 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.

After the division, we end up with 53.28571428 and a remainder of 2.4e-08.