430635 divided by 42 
Let's see how many times 42 fits into 430635.

Advancing to step 1:
The number 42 fits into 4 0 times, leaving a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Grab the next digit (3) from the dividend, add it to 4, then carry on: 43 / 42

On to step 2:
If we divide 43 by 42, we get 1 and a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtracting 42 from 43 leaves us with 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 42

Advancing to step 3:
42 can be fit into 10 0 times, resulting in a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 10.0
If we take 0 away from 10, we end up with 10.
Fetch the next digit (6) from the dividend, attach it to 10 and continue: 106 / 42

On to step 4:
When dividing 106 by 42, we get 2 with a remainder of 22.
The next digit of our result is 2. 
Result so far: 102.0
Subtracting 84 from 106 leaves us with 22.
Fetch the next digit (3) from the dividend, attach it to 22 and continue: 223 / 42

Step 5:
The number 42 fits into 223 5 times, leaving a remainder of 13.
The number 5 becomes the next digit in our result. 
Result so far: 1025.0
Subtract 210 from 223 to get 13.
Take the next digit (5) from the dividend and append it to 13, then repeat: 135 / 42

Moving on to step 6:
135 divided by 42 is 3 with a remainder of 9.
The next digit of our result is 3. 
Result so far: 10253.0
Subtract 126 from 135 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Going ahead to step 7:
The number 42 fits into 90 2 times, leaving a remainder of 6.
Put 2 as the next digit of the answer. 
Result so far: 10253.2
If we take 84 away from 90, we end up 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 8:
42 goes into 60 1 times with a remainder of 18.
Use 1 as the next digit of our solution. 
Result so far: 10253.21
If we take 42 away from 60, we end up 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.

Advancing to step 9:
The number 42 fits into 180 4 times, leaving a remainder of 12.
Put 4 as the next digit of the answer. 
Result so far: 10253.214
If we take 168 away from 180, we end up 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.

Going ahead to step 10:
120 divided by 42 is 2 with a remainder of 36.
The number 2 becomes the next digit in our result. 
Result so far: 10253.2142
Deduct 84 from 120 and we're left 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.

Going ahead to step 11:
42 goes into 360 8 times with a remainder of 24.
Record the quotient 8 as the next digit in the result. 
Result so far: 10253.21428
If we take 336 away from 360, we end up 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.

Going ahead to step 12:
42 can be fit into 240 5 times, resulting in a remainder of 30.
The next digit of our result is 5. 
Result so far: 10253.214285
The remainder is 30 after subtracting 210 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 13:
300 divided by 42 is 7 with a remainder of 6.
The number 7 becomes the next digit in our result. 
Result so far: 10253.2142857
The remainder is 6 after subtracting 294 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 14:
42 can be fit into 60 1 times, resulting in a remainder of 18.
Write down 1 as next digit of the result. 
Result so far: 10253.21428571
If we subtract 42 from 60, we get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

In conclusion, the division gives 10253.21428571 with a balance of 1.8e-08.