434095 ÷ 84 
Our goal is to divide 434095 by 84.

Advancing to step 1:
When dividing 4 by 84, we get 0 with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Fetch the next digit (3) from the dividend, attach it to 4 and continue: 43 / 84

Going ahead to step 2:
43 divided by 84 is 0 with a remainder of 43.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 43 and we're left with 43.
Append the next digit (4) from the dividend to 43 and continue with: 434 / 84

Going ahead to step 3:
If we divide 434 by 84, we get 5 and a remainder of 14.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
Subtracting 420 from 434 leaves us with 14.
Append the next digit (0) from the dividend to 14 and continue with: 140 / 84

Going ahead to step 4:
140 divided by 84 is 1 with a remainder of 56.
Use 1 as the next digit of our solution. 
Result so far: 51.0
Subtracting 84 from 140 leaves us with 56.
Append the next digit (9) from the dividend to 56 and continue with: 569 / 84

On to step 5:
When dividing 569 by 84, we get 6 with a remainder of 65.
The number 6 becomes the next digit in our result. 
Result so far: 516.0
Deduct 504 from 569 and we're left with 65.
Include the next digit (5) from the dividend after 65, then repeat: 655 / 84

On to step 6:
When dividing 655 by 84, we get 7 with a remainder of 67.
Put 7 as the next digit of the answer. 
Result so far: 5167.0
Deduct 588 from 655 and we're left with 67.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

On to step 7:
84 goes into 670 7 times with a remainder of 82.
The number 7 becomes the next digit in our result. 
Result so far: 5167.7
Subtract 588 from 670 to get 82.
Since there are no more digits in the dividend, we add a zero to the remainder making it 820, and continue the process.

Let's proceed to step 8:
84 can be fit into 820 9 times, resulting in a remainder of 64.
Use 9 as the next digit of our solution. 
Result so far: 5167.79
Subtracting 756 from 820 leaves us with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Advancing to step 9:
If we divide 640 by 84, we get 7 and a remainder of 52.
The next digit of our result is 7. 
Result so far: 5167.797
If we subtract 588 from 640, we get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Moving on to step 10:
520 divided by 84 is 6 with a remainder of 16.
The number 6 becomes the next digit in our result. 
Result so far: 5167.7976
Subtracting 504 from 520 leaves us 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.

Step 11:
160 divided by 84 is 1 with a remainder of 76.
The number 1 becomes the next digit in our result. 
Result so far: 5167.79761
Subtract 84 from 160 to get 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Step 12:
When dividing 760 by 84, we get 9 with a remainder of 4.
Use 9 as the next digit of our solution. 
Result so far: 5167.797619
The remainder is 4 after subtracting 756 from 760.
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 13:
The number 84 fits into 40 0 times, leaving a remainder of 40.
Record the quotient 0 as the next digit in the result. 
Result so far: 5167.797619
The remainder is 40 after subtracting 0 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 14:
When dividing 400 by 84, we get 4 with a remainder of 64.
The next digit of our result is 4. 
Result so far: 5167.79761904
If we take 336 away from 400, we end up with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

The quotient of the division is 5167.79761904, and the remainder is 6.4e-08.