525107 ÷ 42 
Our goal is to divide 525107 by 42.

Step 1:
When dividing 5 by 42, we get 0 with a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Fetch the next digit (2) from the dividend, attach it to 5 and continue: 52 / 42

Let's proceed to step 2:
42 goes into 52 1 times with a remainder of 10.
Put 1 as the next digit of the answer. 
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

Advancing to step 3:
The number 42 fits into 105 2 times, leaving a remainder of 21.
Use 2 as the next digit of our solution. 
Result so far: 12.0
Subtracting 84 from 105 leaves us with 21.
Bring next digit (1) of the dividend behind the 21 and repeat the process: 211 / 42

Advancing to step 4:
42 can be fit into 211 5 times, resulting in a remainder of 1.
Put 5 as the next digit of the answer. 
Result so far: 125.0
If we take 210 away from 211, we end up with 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 42

Step 5:
42 goes into 10 0 times with a remainder of 10.
The next digit of our result is 0. 
Result so far: 1250.0
Deduct 0 from 10 and we're left with 10.
Fetch the next digit (7) from the dividend, attach it to 10 and continue: 107 / 42

Step 6:
42 can be fit into 107 2 times, resulting in a remainder of 23.
The number 2 becomes the next digit in our result. 
Result so far: 12502.0
If we subtract 84 from 107, we get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

On to step 7:
If we divide 230 by 42, we get 5 and a remainder of 20.
Use 5 as the next digit of our solution. 
Result so far: 12502.5
If we subtract 210 from 230, 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.

Step 8:
200 divided by 42 is 4 with a remainder of 32.
Write down 4 as next digit of the result. 
Result so far: 12502.54
Subtracting 168 from 200 leaves us with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Moving on to step 9:
If we divide 320 by 42, we get 7 and a remainder of 26.
Use 7 as the next digit of our solution. 
Result so far: 12502.547
Subtract 294 from 320 to get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

On to step 10:
42 can be fit into 260 6 times, resulting in a remainder of 8.
Put 6 as the next digit of the answer. 
Result so far: 12502.5476
If we take 252 away from 260, we end up 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.

Going ahead to step 11:
80 divided by 42 is 1 with a remainder of 38.
The number 1 becomes the next digit in our result. 
Result so far: 12502.54761
Subtracting 42 from 80 leaves us 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 12:
When dividing 380 by 42, we get 9 with a remainder of 2.
The next digit of our result is 9. 
Result so far: 12502.547619
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.

Moving on to step 13:
The number 42 fits into 20 0 times, leaving a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 12502.547619
Subtract 0 from 20 to 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.

On to step 14:
42 goes into 200 4 times with a remainder of 32.
Use 4 as the next digit of our solution. 
Result so far: 12502.54761904
Subtracting 168 from 200 leaves us with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

The quotient of the division is 12502.54761904, and the remainder is 3.2e-08.