We look at the division of 433007 by 84 
We want to figure out the number of times 433007 can be divided by 84.

On to step 1:
The number 84 fits into 4 0 times, leaving 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.
Fetch the next digit (3) from the dividend, attach it to 4 and continue: 43 / 84

Advancing to step 2:
If we divide 43 by 84, we get 0 and a remainder of 43.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 43, we get 43.
Bring next digit (3) of the dividend behind the 43 and repeat the process: 433 / 84

Going ahead to step 3:
The number 84 fits into 433 5 times, leaving a remainder of 13.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
If we take 420 away from 433, we end up with 13.
Grab the next digit (0) from the dividend, add it to 13, then carry on: 130 / 84

On to step 4:
84 can be fit into 130 1 times, resulting in a remainder of 46.
Use 1 as the next digit of our solution. 
Result so far: 51.0
Deduct 84 from 130 and we're left with 46.
Append the next digit (0) from the dividend to 46 and continue with: 460 / 84

Going ahead to step 5:
The number 84 fits into 460 5 times, leaving a remainder of 40.
Put 5 as the next digit of the answer. 
Result so far: 515.0
Subtracting 420 from 460 leaves us with 40.
Fetch the next digit (7) from the dividend, attach it to 40 and continue: 407 / 84

Step 6:
84 can be fit into 407 4 times, resulting in a remainder of 71.
Put 4 as the next digit of the answer. 
Result so far: 5154.0
If we take 336 away from 407, we end up with 71.
Since there are no more digits in the dividend, we add a zero to the remainder making it 710, and continue the process.

On to step 7:
84 can be fit into 710 8 times, resulting in a remainder of 38.
The number 8 becomes the next digit in our result. 
Result so far: 5154.8
The remainder is 38 after subtracting 672 from 710.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Let's proceed to step 8:
The number 84 fits into 380 4 times, leaving a remainder of 44.
The next digit of our result is 4. 
Result so far: 5154.84
Subtract 336 from 380 to get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Step 9:
If we divide 440 by 84, we get 5 and a remainder of 20.
Record the quotient 5 as the next digit in the result. 
Result so far: 5154.845
If we take 420 away from 440, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 10:
200 divided by 84 is 2 with a remainder of 32.
Write down 2 as next digit of the result. 
Result so far: 5154.8452
If we take 168 away from 200, we end up 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.

Going ahead to step 11:
84 goes into 320 3 times with a remainder of 68.
Write down 3 as next digit of the result. 
Result so far: 5154.84523
Subtract 252 from 320 to get 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Advancing to step 12:
680 divided by 84 is 8 with a remainder of 8.
The next digit of our result is 8. 
Result so far: 5154.845238
Subtracting 672 from 680 leaves us 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 13:
84 can be fit into 80 0 times, resulting in a remainder of 80.
Use 0 as the next digit of our solution. 
Result so far: 5154.845238
Deduct 0 from 80 and we're left with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Moving on to step 14:
84 can be fit into 800 9 times, resulting in a remainder of 44.
Write down 9 as next digit of the result. 
Result so far: 5154.84523809
Deduct 756 from 800 and we're left with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

The quotient of the division is 5154.84523809, and the remainder is 4.4e-08.