We're dividing 413687 by 42 
We're looking to find how many times 42 goes into 413687.

Step 1:
4 divided by 42 is 0 with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Take the next digit (1) from the dividend and append it to 4, then repeat: 41 / 42

Let's proceed to step 2:
If we divide 41 by 42, we get 0 and a remainder of 41.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 41 after subtracting 0 from 41.
Include the next digit (3) from the dividend after 41, then repeat: 413 / 42

Moving on to step 3:
When dividing 413 by 42, we get 9 with a remainder of 35.
The next digit of our result is 9. 
Result so far: 9.0
Deduct 378 from 413 and we're left with 35.
Take the next digit (6) from the dividend and append it to 35, then repeat: 356 / 42

Moving on to step 4:
42 can be fit into 356 8 times, resulting in a remainder of 20.
Record the quotient 8 as the next digit in the result. 
Result so far: 98.0
The remainder is 20 after subtracting 336 from 356.
Bring next digit (8) of the dividend behind the 20 and repeat the process: 208 / 42

Moving on to step 5:
When dividing 208 by 42, we get 4 with a remainder of 40.
The next digit of our result is 4. 
Result so far: 984.0
Subtracting 168 from 208 leaves us with 40.
Bring next digit (7) of the dividend behind the 40 and repeat the process: 407 / 42

Let's proceed to step 6:
42 can be fit into 407 9 times, resulting in a remainder of 29.
The next digit of our result is 9. 
Result so far: 9849.0
Deduct 378 from 407 and we're left with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Let's proceed to step 7:
42 goes into 290 6 times with a remainder of 38.
Put 6 as the next digit of the answer. 
Result so far: 9849.6
Subtract 252 from 290 to 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.

Advancing to step 8:
If we divide 380 by 42, we get 9 and a remainder of 2.
Use 9 as the next digit of our solution. 
Result so far: 9849.69
Deduct 378 from 380 and we're left 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.

Advancing to step 9:
42 can be fit into 20 0 times, resulting in a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 9849.69
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.

Advancing to step 10:
The number 42 fits into 200 4 times, leaving a remainder of 32.
Put 4 as the next digit of the answer. 
Result so far: 9849.6904
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.

Step 11:
42 goes into 320 7 times with a remainder of 26.
Put 7 as the next digit of the answer. 
Result so far: 9849.69047
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.

Advancing to step 12:
If we divide 260 by 42, we get 6 and a remainder of 8.
Put 6 as the next digit of the answer. 
Result so far: 9849.690476
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.

Going ahead to step 13:
When dividing 80 by 42, we get 1 with a remainder of 38.
The number 1 becomes the next digit in our result. 
Result so far: 9849.6904761
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.

On to step 14:
When dividing 380 by 42, we get 9 with a remainder of 2.
The number 9 becomes the next digit in our result. 
Result so far: 9849.69047619
If we take 378 away from 380, 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.

In conclusion, the division gives 9849.69047619 with a balance of 2e-09.