433204 ÷ 42 
We want to divide 433204 by 42.

On to step 1:
When dividing 4 by 42, we get 0 with a remainder of 4.
Put 0 as the next digit of the answer. 
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

Going ahead to step 2:
If we divide 43 by 42, we get 1 and a remainder of 1.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we subtract 42 from 43, we get 1.
Grab the next digit (3) from the dividend, add it to 1, then carry on: 13 / 42

Going ahead to step 3:
If we divide 13 by 42, we get 0 and a remainder of 13.
Use 0 as the next digit of our solution. 
Result so far: 10.0
The remainder is 13 after subtracting 0 from 13.
Fetch the next digit (2) from the dividend, attach it to 13 and continue: 132 / 42

Going ahead to step 4:
When dividing 132 by 42, we get 3 with a remainder of 6.
Use 3 as the next digit of our solution. 
Result so far: 103.0
If we subtract 126 from 132, we get 6.
Take the next digit (0) from the dividend and append it to 6, then repeat: 60 / 42

Let's proceed to step 5:
60 divided by 42 is 1 with a remainder of 18.
The next digit of our result is 1. 
Result so far: 1031.0
Subtracting 42 from 60 leaves us with 18.
Grab the next digit (4) from the dividend, add it to 18, then carry on: 184 / 42

Step 6:
If we divide 184 by 42, we get 4 and a remainder of 16.
The next digit of our result is 4. 
Result so far: 10314.0
If we take 168 away from 184, we end up 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.

Advancing to step 7:
42 can be fit into 160 3 times, resulting in a remainder of 34.
Put 3 as the next digit of the answer. 
Result so far: 10314.3
The remainder is 34 after subtracting 126 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Going ahead to step 8:
When dividing 340 by 42, we get 8 with a remainder of 4.
Use 8 as the next digit of our solution. 
Result so far: 10314.38
Subtracting 336 from 340 leaves us 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.

Let's proceed to step 9:
42 goes into 40 0 times with a remainder of 40.
The next digit of our result is 0. 
Result so far: 10314.38
Deduct 0 from 40 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Advancing to step 10:
42 can be fit into 400 9 times, resulting in a remainder of 22.
Use 9 as the next digit of our solution. 
Result so far: 10314.3809
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.

Step 11:
The number 42 fits into 220 5 times, leaving a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 10314.38095
If we subtract 210 from 220, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 12:
The number 42 fits into 100 2 times, leaving a remainder of 16.
Use 2 as the next digit of our solution. 
Result so far: 10314.380952
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.

Going ahead to step 13:
The number 42 fits into 160 3 times, leaving a remainder of 34.
Record the quotient 3 as the next digit in the result. 
Result so far: 10314.3809523
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.

Let's proceed to step 14:
340 divided by 42 is 8 with a remainder of 4.
Record the quotient 8 as the next digit in the result. 
Result so far: 10314.38095238
If we take 336 away from 340, we end up 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.

In conclusion, the division gives 10314.38095238 with a balance of 4e-09.