We look at the division of 538625 by 42 
Let's see how many times 42 fits into 538625.

Advancing to step 1:
If we divide 5 by 42, we get 0 and a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Fetch the next digit (3) from the dividend, attach it to 5 and continue: 53 / 42

On to step 2:
The number 42 fits into 53 1 times, leaving a remainder of 11.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
The remainder is 11 after subtracting 42 from 53.
Take the next digit (8) from the dividend and append it to 11, then repeat: 118 / 42

On to step 3:
118 divided by 42 is 2 with a remainder of 34.
The number 2 becomes the next digit in our result. 
Result so far: 12.0
Deduct 84 from 118 and we're left with 34.
Fetch the next digit (6) from the dividend, attach it to 34 and continue: 346 / 42

Moving on to step 4:
When dividing 346 by 42, we get 8 with a remainder of 10.
Use 8 as the next digit of our solution. 
Result so far: 128.0
If we subtract 336 from 346, we get 10.
Fetch the next digit (2) from the dividend, attach it to 10 and continue: 102 / 42

Step 5:
42 can be fit into 102 2 times, resulting in a remainder of 18.
Write down 2 as next digit of the result. 
Result so far: 1282.0
Subtracting 84 from 102 leaves us with 18.
Include the next digit (5) from the dividend after 18, then repeat: 185 / 42

Let's proceed to step 6:
42 goes into 185 4 times with a remainder of 17.
The next digit of our result is 4. 
Result so far: 12824.0
Deduct 168 from 185 and we're left with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Let's proceed to step 7:
170 divided by 42 is 4 with a remainder of 2.
Write down 4 as next digit of the result. 
Result so far: 12824.4
If we take 168 away from 170, we end up 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.

Step 8:
42 can be fit into 20 0 times, resulting in a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 12824.4
The remainder is 20 after subtracting 0 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 9:
200 divided by 42 is 4 with a remainder of 32.
Put 4 as the next digit of the answer. 
Result so far: 12824.404
If we subtract 168 from 200, we get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Advancing to step 10:
When dividing 320 by 42, we get 7 with a remainder of 26.
The number 7 becomes the next digit in our result. 
Result so far: 12824.4047
If we take 294 away from 320, we end up with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Moving on to step 11:
The number 42 fits into 260 6 times, leaving a remainder of 8.
The next digit of our result is 6. 
Result so far: 12824.40476
If we subtract 252 from 260, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 12:
When dividing 80 by 42, we get 1 with a remainder of 38.
Record the quotient 1 as the next digit in the result. 
Result so far: 12824.404761
Deduct 42 from 80 and we're left with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Going ahead to step 13:
42 goes into 380 9 times with a remainder of 2.
The next digit of our result is 9. 
Result so far: 12824.4047619
If we subtract 378 from 380, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 14:
42 can be fit into 20 0 times, resulting in a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 12824.4047619
If we take 0 away from 20, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

The quotient of the division is 12824.4047619, and the remainder is 2e-08.