We look at the division of 432617 by 42 
We want to figure out the number of times 432617 can be divided by 42.

Let's proceed to step 1:
The number 42 fits into 4 0 times, leaving a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Fetch the next digit (3) from the dividend, attach it to 4 and continue: 43 / 42

On to step 2:
The number 42 fits into 43 1 times, leaving 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.
Take the next digit (2) from the dividend and append it to 1, then repeat: 12 / 42

Step 3:
42 goes into 12 0 times with a remainder of 12.
Put 0 as the next digit of the answer. 
Result so far: 10.0
Subtract 0 from 12 to get 12.
Append the next digit (6) from the dividend to 12 and continue with: 126 / 42

Step 4:
When dividing 126 by 42, we get 3 with a remainder of 0.
Record the quotient 3 as the next digit in the result. 
Result so far: 103.0
If we subtract 126 from 126, we get 0.
Grab the next digit (1) from the dividend, add it to 0, then carry on: 1 / 42

Step 5:
If we divide 1 by 42, we get 0 and a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 1030.0
The remainder is 1 after subtracting 0 from 1.
Append the next digit (7) from the dividend to 1 and continue with: 17 / 42

On to step 6:
The number 42 fits into 17 0 times, leaving a remainder of 17.
Put 0 as the next digit of the answer. 
Result so far: 10300.0
Deduct 0 from 17 and we're left with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Let's proceed to step 7:
When dividing 170 by 42, we get 4 with a remainder of 2.
Put 4 as the next digit of the answer. 
Result so far: 10300.4
Deduct 168 from 170 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.

Moving on to step 8:
If we divide 20 by 42, we get 0 and a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 10300.4
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.

Step 9:
The number 42 fits into 200 4 times, leaving a remainder of 32.
The next digit of our result is 4. 
Result so far: 10300.404
Deduct 168 from 200 and we're left 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.

Advancing to step 10:
The number 42 fits into 320 7 times, leaving a remainder of 26.
Record the quotient 7 as the next digit in the result. 
Result so far: 10300.4047
Subtracting 294 from 320 leaves us with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Let's proceed to step 11:
When dividing 260 by 42, we get 6 with a remainder of 8.
Write down 6 as next digit of the result. 
Result so far: 10300.40476
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.

Step 12:
When dividing 80 by 42, we get 1 with a remainder of 38.
Use 1 as the next digit of our solution. 
Result so far: 10300.404761
The remainder is 38 after subtracting 42 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Moving on to step 13:
42 can be fit into 380 9 times, resulting in a remainder of 2.
Use 9 as the next digit of our solution. 
Result so far: 10300.4047619
The remainder is 2 after subtracting 378 from 380.
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 14:
20 divided by 42 is 0 with a remainder of 20.
The next digit of our result is 0. 
Result so far: 10300.4047619
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.

The final result is 10300.4047619 with a remainder of 2e-08.