We look at the division of 525905 by 42 
We want to divide 525905 by 42.

On to step 1:
The number 42 fits into 5 0 times, leaving a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Include the next digit (2) from the dividend after 5, then repeat: 52 / 42

On to step 2:
When dividing 52 by 42, we get 1 with a remainder of 10.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we take 42 away from 52, we end up with 10.
Take the next digit (5) from the dividend and append it to 10, then repeat: 105 / 42

Step 3:
When dividing 105 by 42, we get 2 with a remainder of 21.
Use 2 as the next digit of our solution. 
Result so far: 12.0
If we take 84 away from 105, we end up with 21.
Take the next digit (9) from the dividend and append it to 21, then repeat: 219 / 42

Let's proceed to step 4:
When dividing 219 by 42, we get 5 with a remainder of 9.
Use 5 as the next digit of our solution. 
Result so far: 125.0
If we take 210 away from 219, we end up with 9.
Append the next digit (0) from the dividend to 9 and continue with: 90 / 42

Going ahead to step 5:
If we divide 90 by 42, we get 2 and a remainder of 6.
The number 2 becomes the next digit in our result. 
Result so far: 1252.0
If we take 84 away from 90, we end up with 6.
Bring next digit (5) of the dividend behind the 6 and repeat the process: 65 / 42

Going ahead to step 6:
The number 42 fits into 65 1 times, leaving a remainder of 23.
Record the quotient 1 as the next digit in the result. 
Result so far: 12521.0
Subtracting 42 from 65 leaves us with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Going ahead to step 7:
When dividing 230 by 42, we get 5 with a remainder of 20.
Use 5 as the next digit of our solution. 
Result so far: 12521.5
Deduct 210 from 230 and we're left 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.

Step 8:
If we divide 200 by 42, we get 4 and a remainder of 32.
The next digit of our result is 4. 
Result so far: 12521.54
Subtract 168 from 200 to 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.

On to step 9:
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: 12521.547
The remainder is 26 after subtracting 294 from 320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Advancing to step 10:
42 goes into 260 6 times with a remainder of 8.
Record the quotient 6 as the next digit in the result. 
Result so far: 12521.5476
The remainder is 8 after subtracting 252 from 260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 11:
If we divide 80 by 42, we get 1 and a remainder of 38.
The next digit of our result is 1. 
Result so far: 12521.54761
If we subtract 42 from 80, we get 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 12:
42 can be fit into 380 9 times, resulting in a remainder of 2.
Record the quotient 9 as the next digit in the result. 
Result so far: 12521.547619
Subtract 378 from 380 to 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.

Let's proceed to step 13:
The number 42 fits into 20 0 times, leaving a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 12521.547619
If we subtract 0 from 20, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 14:
The number 42 fits into 200 4 times, leaving a remainder of 32.
The number 4 becomes the next digit in our result. 
Result so far: 12521.54761904
Subtract 168 from 200 to 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.

After the division, we end up with 12521.54761904 and a remainder of 3.2e-08.