We're dividing 432412 by 42 
We want to figure out the number of times 432412 can be divided by 42.

Let's proceed to step 1:
42 goes into 4 0 times with a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Append the next digit (3) from the dividend to 4 and continue with: 43 / 42

Advancing to step 2:
43 divided by 42 is 1 with a remainder of 1.
The next digit of our result is 1. 
Result so far: 1.0
Subtracting 42 from 43 leaves us with 1.
Take the next digit (2) from the dividend and append it to 1, then repeat: 12 / 42

Moving on to step 3:
12 divided by 42 is 0 with a remainder of 12.
Write down 0 as next digit of the result. 
Result so far: 10.0
If we take 0 away from 12, we end up with 12.
Bring next digit (4) of the dividend behind the 12 and repeat the process: 124 / 42

Let's proceed to step 4:
42 can be fit into 124 2 times, resulting in a remainder of 40.
Use 2 as the next digit of our solution. 
Result so far: 102.0
The remainder is 40 after subtracting 84 from 124.
Append the next digit (1) from the dividend to 40 and continue with: 401 / 42

Going ahead to step 5:
42 goes into 401 9 times with a remainder of 23.
Use 9 as the next digit of our solution. 
Result so far: 1029.0
Deduct 378 from 401 and we're left with 23.
Grab the next digit (2) from the dividend, add it to 23, then carry on: 232 / 42

Advancing to step 6:
232 divided by 42 is 5 with a remainder of 22.
Put 5 as the next digit of the answer. 
Result so far: 10295.0
Subtract 210 from 232 to get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Step 7:
If we divide 220 by 42, we get 5 and a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 10295.5
Subtracting 210 from 220 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 8:
The number 42 fits into 100 2 times, leaving a remainder of 16.
Write down 2 as next digit of the result. 
Result so far: 10295.52
Subtract 84 from 100 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Moving on to step 9:
The number 42 fits into 160 3 times, leaving a remainder of 34.
Put 3 as the next digit of the answer. 
Result so far: 10295.523
Subtract 126 from 160 to get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

On to step 10:
The number 42 fits into 340 8 times, leaving a remainder of 4.
Use 8 as the next digit of our solution. 
Result so far: 10295.5238
Deduct 336 from 340 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 11:
42 can be fit into 40 0 times, resulting in a remainder of 40.
The number 0 becomes the next digit in our result. 
Result so far: 10295.5238
Subtract 0 from 40 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 12:
If we divide 400 by 42, we get 9 and a remainder of 22.
The next digit of our result is 9. 
Result so far: 10295.523809
Subtract 378 from 400 to get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Advancing to step 13:
When dividing 220 by 42, we get 5 with a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 10295.5238095
Deduct 210 from 220 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 14:
42 goes into 100 2 times with a remainder of 16.
Put 2 as the next digit of the answer. 
Result so far: 10295.52380952
Deduct 84 from 100 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

After the division, we end up with 10295.52380952 and a remainder of 1.6e-08.