We're dividing 434361 by 42 
Let's see how many times 42 fits into 434361.

Advancing to step 1:
When dividing 4 by 42, we get 0 with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Include the next digit (3) from the dividend after 4, then repeat: 43 / 42

Advancing to step 2:
43 divided by 42 is 1 with a remainder of 1.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we subtract 42 from 43, we get 1.
Grab the next digit (4) from the dividend, add it to 1, then carry on: 14 / 42

Moving on to step 3:
If we divide 14 by 42, we get 0 and a remainder of 14.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
The remainder is 14 after subtracting 0 from 14.
Fetch the next digit (3) from the dividend, attach it to 14 and continue: 143 / 42

Moving on to step 4:
When dividing 143 by 42, we get 3 with a remainder of 17.
Write down 3 as next digit of the result. 
Result so far: 103.0
The remainder is 17 after subtracting 126 from 143.
Append the next digit (6) from the dividend to 17 and continue with: 176 / 42

Moving on to step 5:
42 can be fit into 176 4 times, resulting in a remainder of 8.
The next digit of our result is 4. 
Result so far: 1034.0
If we take 168 away from 176, we end up with 8.
Bring next digit (1) of the dividend behind the 8 and repeat the process: 81 / 42

Moving on to step 6:
When dividing 81 by 42, we get 1 with a remainder of 39.
Record the quotient 1 as the next digit in the result. 
Result so far: 10341.0
Subtract 42 from 81 to get 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Going ahead to step 7:
390 divided by 42 is 9 with a remainder of 12.
Put 9 as the next digit of the answer. 
Result so far: 10341.9
Subtracting 378 from 390 leaves us 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.

Step 8:
42 goes into 120 2 times with a remainder of 36.
Record the quotient 2 as the next digit in the result. 
Result so far: 10341.92
If we subtract 84 from 120, we get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

On to step 9:
If we divide 360 by 42, we get 8 and a remainder of 24.
The next digit of our result is 8. 
Result so far: 10341.928
Deduct 336 from 360 and we're left 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.

Moving on to step 10:
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: 10341.9285
Subtracting 210 from 240 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 11:
42 goes into 300 7 times with a remainder of 6.
Put 7 as the next digit of the answer. 
Result so far: 10341.92857
Subtract 294 from 300 to get 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 12:
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: 10341.928571
Subtract 42 from 60 to 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.

Moving on to step 13:
42 goes into 180 4 times with a remainder of 12.
Put 4 as the next digit of the answer. 
Result so far: 10341.9285714
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.

Let's proceed to step 14:
42 can be fit into 120 2 times, resulting in a remainder of 36.
The number 2 becomes the next digit in our result. 
Result so far: 10341.92857142
If we take 84 away from 120, we end up 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.

The final result is 10341.92857142 with a remainder of 3.6e-08.